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quant-ph/9509021 | Bernd Berg | Bernd A. Berg | Schr\"odinger's Cat -- Amended | 10 pages and one figure, uuencoded Z-compressed .tar file created by
uufiles | null | null | null | quant-ph gr-qc | null | Arguments have been raised that the system--observer cut of quantum mechanics
can be shifted arbitrarily close to, or even into, the conscious observer. Here
I show that this view leads to {\it observable} contradictions (despite our
inability to control the phases of macroscopic states). For this purpose I
modify and extend Schr\"odinger's well--known superposition of a cat in its
dead and alive state. Implications for other interpretations of quantum
mechanics are also discussed. My conclusion is that quantum mechanics is
incomplete. The question ``When does the state vector collapse?'' seems to be
unavoidable, has observable consequences, and is not answered by quantum
mechanics.
| [
{
"version": "v1",
"created": "Sun, 1 Oct 1995 16:05:20 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Berg",
"Bernd A.",
""
]
] |
quant-ph/9510001 | Hong-Chen FU | Hong-Chen Fu and Ryu Sasaki | Squeezed States for General Multiphoton Systems: Towards the
displacement-operator formalism | 11 pages, latex, no figures | null | null | YITP-95-2 | quant-ph | null | We propose a displacement-operator approach to some aspects of squeezed
states for general multiphoton systems. The explicit displacement-operators of
the squeezed vacuum and the coherent states are achieved and expresses as the
ordinary exponential form. As a byproduct the coherent states of the
$q$-oscillator are obtained by the {\it usual exponential}
displacement-operator.
| [
{
"version": "v1",
"created": "Mon, 2 Oct 1995 09:40:16 GMT"
},
{
"version": "v2",
"created": "Fri, 20 Oct 1995 02:36:50 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Fu",
"Hong-Chen",
""
],
[
"Sasaki",
"Ryu",
""
]
] |
quant-ph/9510002 | Laszlo E. Szabo | Nuel Belnap and Laszlo E. Szabo | Branching Space-time analysis of the GHZ theorem | Revised, 16 pages, LaTeX, no figures, to be published in Foundations
of Physics 1996 | null | 10.1007/BF02061400 | null | quant-ph | null | Greenberger, Horne, Shimony and Zeilinger gave a new version of the Bell
theorem without using inequalities (probabilities). Mermin summarized it
concisely; but Bohm and Hiley criticized Mermin's proof from contextualists'
point of view.
Using the Branching Space-time language, in this paper a proof will be given
that is free of these difficulties. At the same time we will also clarify the
limits of the validity of the theorem when it is taken as a proof that quantum
mechanics is not compatible with a deterministic world nor with a world that
permits correlated space-related events without a common cause.
| [
{
"version": "v1",
"created": "Mon, 2 Oct 1995 10:50:53 GMT"
},
{
"version": "v2",
"created": "Tue, 3 Oct 1995 10:39:28 GMT"
},
{
"version": "v3",
"created": "Tue, 4 Jun 1996 14:11:32 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Belnap",
"Nuel",
""
],
[
"Szabo",
"Laszlo E.",
""
]
] |
quant-ph/9510003 | null | N.E. Mavromatos and D.V. Nanopoulos | On a possible connection of non-critical strings to certain aspects of
quantum brain function | Invited talk by D.V. Nanopoulos at the `four-seas conference',
Trieste (Italy), 25 June-1 July 1995; latex file, 9 pages, one macro:
4seas95.sty, available from archives | null | null | CPT-TAMU-38-95, ACT-13-95 | quant-ph hep-th | null | We review certain aspects of brain function which could be associated with
non-critical (Liouville) string theory. In particular we simulate the physics
of brain microtubules (MT) by using a (completely integrable) non-critical
string, we discuss the collapse of the wave function as a result of quantum
gravity effects due to abrupt conformational changes of the MT protein dimers,
and we propose a new mechanism for memory coding.
| [
{
"version": "v1",
"created": "Wed, 4 Oct 1995 23:32:29 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Mavromatos",
"N. E.",
""
],
[
"Nanopoulos",
"D. V.",
""
]
] |
quant-ph/9510004 | Jun Liu | J\`un L\'iu | The Real Significance of the Electromagnetic Potentials | 30kb, 11 pages RevTex | null | null | null | quant-ph | null | The importance of the potential is revealed in a newly discovered effect of
the potential. This paper explore the same issue introduced in quant-ph/9506038
from several different aspects including electron optics and relativity. Some
people fail to recognize this effect due to a wrong application of gauge
invariance.
| [
{
"version": "v1",
"created": "Thu, 5 Oct 1995 08:30:27 GMT"
}
] | 2016-08-15T00:00:00 | [
[
"Líu",
"Jùn",
""
]
] |
quant-ph/9510005 | null | Karl Svozil | Quantum algorithmic information theory | latex, amsfonts; series of lectures given at the summer school
"Chaitin Complexity and Applications", Mangalia, June 27th - July 6th, 1995,
Mangalia, Romania | null | null | null | quant-ph | null | The agenda of quantum algorithmic information theory, ordered `top-down,' is
the quantum halting amplitude, followed by the quantum algorithmic information
content, which in turn requires the theory of quantum computation. The
fundamental atoms processed by quantum computation are the quantum bits which
are dealt with in quantum information theory. The theory of quantum computation
will be based upon a model of universal quantum computer whose elementary unit
is a two-port interferometer capable of arbitrary $U(2)$ transformations. Basic
to all these considerations is quantum theory, in particular Hilbert space
quantum mechanics.
| [
{
"version": "v1",
"created": "Thu, 5 Oct 1995 12:09:46 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Svozil",
"Karl",
""
]
] |
quant-ph/9510006 | Vasilios G. Koures | Vasilios G. Koures (U. of Utah) | Solving the Coulomb Schrodinger Equation in d=2+1 via Sinc Collocation | 17 pages, Latex, 6 uuencoded postscript figures (figs.uu) | null | 10.1006/jcph.1996.0191 | UTAH-IDR-CP-05 | quant-ph chem-ph cond-mat hep-th | null | We solve the non-relativistic Coulomb Shrodinger equation in d = 2+1 via sinc
collocation. We get excellent convergence using a generalized sinc basis set in
position space. Since convergence in position space could not be obtained with
more common numerical techniques, this result helps to corroborate the
conjecture that the use of a localized basis set within the context of light
cone quantization can yield much better convergence. All of the computations
presented here were performed on an IBM-compatible PC with an Intel 486DX2-66
microchip.
| [
{
"version": "v1",
"created": "Thu, 5 Oct 1995 17:08:14 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Koures",
"Vasilios G.",
"",
"U. of Utah"
]
] |
quant-ph/9510007 | Rainer Plaga | R.Plaga | Proposal for an experimental test of the many-worlds interpretation of
quantum mechanics | 17 pages, standard LaTex, no pictures, comments welcome, revised
version corrects typing error in mixing time | Found.Phys.27:559,1997 | 10.1007/BF02550677 | null | quant-ph | null | The many-worlds interpretation of quantum mechanics predicts the formation of
distinct parallel worlds as a result of a quantum mechanical measurement.
Communication among these parallel worlds would experimentally rule out
alternatives to this interpretation. A procedure for ``interworld'' exchange of
information and energy, using only state of the art quantum optical equipment,
is described. A single ion is isolated from its environment in an ion trap.
Then a quantum mechanical measurement with two discrete outcomes is performed
on another system, resulting in the formation of two parallel worlds. Depending
on the outcome of this measurement the ion is excited from only one of the
parallel worlds before the ion decoheres through its interaction with the
environment. A detection of this excitation in the other parallel world is
direct evidence for the many-worlds interpretation. This method could have
important practical applications in physics and beyond.
| [
{
"version": "v1",
"created": "Fri, 6 Oct 1995 12:50:25 GMT"
},
{
"version": "v2",
"created": "Mon, 9 Oct 1995 12:59:57 GMT"
},
{
"version": "v3",
"created": "Fri, 10 Nov 1995 10:35:33 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Plaga",
"R.",
""
]
] |
quant-ph/9510008 | John Klauder | John R. Klauder (University of Florida) | Geometric Quantization from a Coherent State Viewpoint | Latex, 17 pages, no figures | null | null | null | quant-ph | null | A fully geometric procedure of quantization that utilizes a natural and
necessary metric on phase space is reviewed and briefly related to the goals of
the program of geometric quantization.
| [
{
"version": "v1",
"created": "Sat, 7 Oct 1995 01:12:59 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Klauder",
"John R.",
"",
"University of Florida"
]
] |
quant-ph/9510009 | Norman Dombey | A Calogeracos, N Dombey and K Imagawa | Spontaneous Fermion Production by a Supercritical Potential Well | 31 pages; following macros/styles included; tcilatex.tex,
thmsupp.tex, a4.sty,sw20jart.sty,jeep.sty,gnuindex.sty,
thmsa.sty,thmsb.sty,thmsc.sty,thmsd.sty;paper.ps is postscript version of
paper | Phys.Atom.Nucl. 59 (1996) 1275-1289; Yad.Fiz. 59 (1996) 1331-1344 | null | SUSX.TH/95-48 | quant-ph | null | A second quantised theory of electrons and positrons in a deep time-dependent
potential well is discussed. It is shown that positron production from the well
is a natural consequence of Dirac's hole theory when the strength of the well
becomes supercritical. A formalism is developed whereby the amplitude for
emission of a positron of a given momentum can be calculated. The difference
between positron production and electron-positron pair production is
demonstrated. Considerations of the vacuum charge and of Levinson's theorem are
required for a full description of the problem.
| [
{
"version": "v1",
"created": "Mon, 9 Oct 1995 11:20:00 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Calogeracos",
"A",
""
],
[
"Dombey",
"N",
""
],
[
"Imagawa",
"K",
""
]
] |
quant-ph/9510010 | Jose Acacio de Barros | Patrick Suppes (Stanford University), Adonai S. Sant'Anna (Federal
University of Parana), J. Acacio de Barros (Federal University of Juiz de
Fora) | A Particle Theory of the Casimir Effect | LaTeX file, 11 pages, no figures. Key words: photon, trajectories,
QED, Casimir effect, quantum vacuum | Found.Phys.Lett. 9 (1996) 213-223 | 10.1007/BF02186404 | null | quant-ph | null | In previous works Suppes and de Barros used a pure particle model to derive
interference effects, where individual photons have well-defined trajectories,
and hence no wave properties. In the present paper we extend that description
to account for the Casimir effect. We consider that the linear momentum
$\sum\frac{1}{2}\hbar {\bf k}$ of the vacuum state in quantum electrodynamics
corresponds to the linear momentum of virtual photons. The Casimir effect, in
the cases of two parallel plates and the solid ball, is explained in terms of
the pressure caused by the photons. Contrary to quantum electrodynamics, we
assume a finite number of virtual photons.
| [
{
"version": "v1",
"created": "Tue, 10 Oct 1995 22:39:44 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Suppes",
"Patrick",
"",
"Stanford University"
],
[
"Sant'Anna",
"Adonai S.",
"",
"Federal\n University of Parana"
],
[
"de Barros",
"J. Acacio",
"",
"Federal University of Juiz de\n Fora"
]
] |
quant-ph/9510011 | John Klauder | John R. Klauder (University of Florida) | Isolation and Expulsion of Divergences in Quantum Field Theory | Latex, 13 pages, no figures | null | 10.1142/S0217979296000581 | null | quant-ph | null | Divergences that arise in the quantization of scalar quantum field models by
means of a lattice-space functional integration may be attributed to a single
integration variable, and this fact is demonstrated by showing that if the
integrand for that single integration variable is appropriately changed, then a
perturbation expansion becomes order-by-order finite and divergence free. The
paper concludes with a brief review of a current proposal of how an auxiliary,
nonclassical potential added to the lattice action of a relativistic scalar
field quantization may automatically render an analogous change of the
integrand, and thus may lead, as well, to nontrivial and divergence-free
results.
| [
{
"version": "v1",
"created": "Wed, 11 Oct 1995 15:56:47 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Klauder",
"John R.",
"",
"University of Florida"
]
] |
quant-ph/9510012 | M. Czachor | Marek Czachor | Simple Proof of Invariance of the Bargmann-Wigner Scalar Products | revtex, 8 pages, no figures | null | null | null | quant-ph | null | An explicitly covariant formalism for dealing with Bargmann-Wigner fields is
developed. An invariance of the Barmann-Wigner norm can be proved in a unified
way for both massive and massless fields. It is shown that there exists some
freedom in the choice of the form of the Bargmann-Wigner scalar product.
| [
{
"version": "v1",
"created": "Wed, 11 Oct 1995 13:42:53 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Czachor",
"Marek",
""
]
] |
quant-ph/9510013 | Matteo G. A. Paris | Matteo G. A. Paris (I.N.F.M.--Pavia, Italy) | Squeezed Vacuum Interferometry | Latex, 7 Pages, 5 PostScript figures available from the author | Mod.Phys.Lett.B9:1141,1995 | 10.1142/S0217984995001133 | null | quant-ph | null | A high-sensitive interferometric scheme is presented. It is based on homodyne
detection and squeezed vacuum phase properties. The resulting phase sensitivity
scales as $\delta\phi \simeq {1/4} \bar{n}^{-1}$ with respect to input photons
number.
| [
{
"version": "v1",
"created": "Wed, 11 Oct 1995 14:55:12 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Paris",
"Matteo G. A.",
"",
"I.N.F.M.--Pavia, Italy"
]
] |
quant-ph/9510014 | Ole Steuernagel | Ole Steuernagel and John A. Vaccaro | Reconstructing the density operator via simple projectors | RevTex, picture not included - see remark, 5 pages | Phys.Rev.Lett. 75 (1995) 3201-3205 | 10.1103/PhysRevLett.75.3201 | Paper accepted for publication in PRL | quant-ph | null | We describe the representation of arbitrary density operators in terms of
expectation values of simple projection operators. Two representations are
presented which yield non--recursive schemes for experimentally determining the
density operator of any quantum system. We suggest a possible experimental
implementation in quantum optics.
| [
{
"version": "v1",
"created": "Wed, 11 Oct 1995 14:52:00 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Steuernagel",
"Ole",
""
],
[
"Vaccaro",
"John A.",
""
]
] |
quant-ph/9510015 | null | K. Svozil and R. R. Zapatrin | Empirical logic of finite automata: microstatements versus
macrostatements | latex | Int.J.Theor.Phys. 35 (1996) 1541-1548 | 10.1007/BF02084959 | null | quant-ph | null | We compare the two approaches to the empirical logic of automata. The first,
called partition logic (logic of microstatements), refers to experiments on
individual automata. The second one, the logic of simulation (logic of
macrostatements), deals with ensembles of automata.
| [
{
"version": "v1",
"created": "Mon, 16 Oct 1995 15:21:46 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Svozil",
"K.",
""
],
[
"Zapatrin",
"R. R.",
""
]
] |
quant-ph/9510016 | Anton N. Artemyev | A.N.Artemyev, V.M.Shabaev, and V.A.Yerokhin (Department of Physics,
St.Petersburg State University) | Nuclear recoil corrections to the $2p_\frac{3}{2}$ state energy of
hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$ | 12 pages, latex, Submitted to Journal of Physics B | null | 10.1088/0953-4075/28/24/006 | null | quant-ph | null | The relativistic nuclear recoil corrections to the energy of the
$2p_{\frac{3}{2}}$ state of hydrogen-like and the $(1s)^{2}2p_{\frac{3}{2}}$
state of high $Z$ lithium-like atoms in all orders in $\alpha Z$ are
calculated. The calculations are carried out using the B-spline method for the
Dirac equation. For low $Z$ the results of the calculation are in good
agreement with the $\alpha Z$ -expansion results. It is found that the total
nuclear recoil contribution to the energy of the $(1s)^{2}2p_{\frac{3}{2}}-
(1s)^{2}2s$ transition in lithium-like uranium constitutes $-0.09\,eV$.
| [
{
"version": "v1",
"created": "Mon, 16 Oct 1995 18:25:44 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Artemyev",
"A. N.",
"",
"Department of Physics,\n St.Petersburg State University"
],
[
"Shabaev",
"V. M.",
"",
"Department of Physics,\n St.Petersburg State University"
],
[
"Yerokhin",
"V. A.",
"",
"Department of Physics,\n St.Petersburg State University"
]
] |
quant-ph/9510017 | Patricio Perez J. | Patricio Perez (U. de Santiago de Chile) | Physics and Consciousness | 7 pages, tcilatex, no figures | null | null | null | quant-ph | null | Some contributions of physics towards the understanding of consciousness are
described. As recent relevant models, associative memory neural networks are
mentioned. It is shown that consciousness and quantum physics share some
properties. Two existing quantum models are discussed.
| [
{
"version": "v1",
"created": "Tue, 17 Oct 1995 19:45:46 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Perez",
"Patricio",
"",
"U. de Santiago de Chile"
]
] |
quant-ph/9510018 | Asher Peres | Asher Peres | Generalized Kochen-Specker Theorem | 7 pages, LaTeX, to appear in Foundations of Physics (1996) | Found.Phys. 26 (1996) 807-812 | 10.1007/BF02058634 | null | quant-ph | null | A generalized Kochen-Specker theorem is proved. It is shown that there exist
sets of $n$ projection operators, representing $n$ yes-no questions about a
quantum system, such that none of the $2^n$ possible answers is compatible with
sum rules imposed by quantum mechanics. Namely, if a subset of commuting
projection operators sums up to a matrix having only even or only odd
eigenvalues, the number of ``yes'' answers ought to be even or odd,
respectively. This requirement may lead to contradictions. An example is
provided, involving nine projection operators in a 4-dimensional space.
| [
{
"version": "v1",
"created": "Thu, 19 Oct 1995 10:04:10 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Peres",
"Asher",
""
]
] |
quant-ph/9510019 | PEREZ BERGLIAFFA San | Santiago E. Perez Bergliaffa, Gustavo E. Romero, and Hector Vucetich
(Departamento de Fisica, UNLP) | Axiomatic foundations of quantum mechanics revisited: the case for
systems | submitted to International Journal of Theoretical Physics, uses
Latex, no figures | Int.J.Theor.Phys. 35 (1996) 1805-1820 | 10.1007/BF02302417 | null | quant-ph | null | We present an axiomatization of non-relativistic Quantum Mechanics for a
system with an arbitrary number of components. The interpretation of our system
of axioms is realistic and objective. The EPR paradox and its relation with
realism is discussed in this framework. It is shown that there is no
contradiction between realism and recent experimental results.
| [
{
"version": "v1",
"created": "Thu, 19 Oct 1995 17:03:06 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Bergliaffa",
"Santiago E. Perez",
"",
"Departamento de Fisica, UNLP"
],
[
"Romero",
"Gustavo E.",
"",
"Departamento de Fisica, UNLP"
],
[
"Vucetich",
"Hector",
"",
"Departamento de Fisica, UNLP"
]
] |
quant-ph/9510020 | PEREZ BERGLIAFFA San | S. Perez Bergliaffa, G. Romero and H. Vucetich (Departamento de
Fisica, UNLP) | Axiomatic Foundations of Nonrelativistic Quantum Mechanics: A Realistic
Approach | Published in International Journal of Theoretical Physics, Vol. 32.
No. 9, 1993. This paper is written in LaTex, no figures | Int.J.Theor.Phys. 32 (1993) 1507 | null | null | quant-ph | null | A realistic axiomatic formulation of nonrelativistic quantum mechanics for a
single microsystem with spin is presented, from which the most important
theorems of the theory can be deduced. In comparison with previous
formulations, the formal aspect has been improved by the use of certain
mathematical theories, such as the theory of equipped spaces, and group theory.
The standard formalism is naturally obtained from the latter, starting from a
central primitive concept: the Galilei group.
| [
{
"version": "v1",
"created": "Thu, 19 Oct 1995 21:07:08 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Bergliaffa",
"S. Perez",
"",
"Departamento de\n Fisica, UNLP"
],
[
"Romero",
"G.",
"",
"Departamento de\n Fisica, UNLP"
],
[
"Vucetich",
"H.",
"",
"Departamento de\n Fisica, UNLP"
]
] |
quant-ph/9510021 | James Anglin | J.R. Anglin and W.H. Zurek | Decoherence of Quantum Fields: Pointer States and Predictability | 11 pages, RevTeX, 1 figure (tar compressed, uu-encoded PostScript) | Phys.Rev. D53 (1996) 7327-7335 | 10.1103/PhysRevD.53.7327 | LA-UR 95-3364 | quant-ph | null | We study environmentally induced decoherence of an electromagnetic field in a
homogeneous, linear, dielectric medium. We derive an independent oscillator
model for such an environment, which is sufficiently realistic to encompass
essentially all of linear physical optics. Applying the ``predictability
sieve'' to the quantum field, and introducing the concept of a ``quantum
halo'', we recover the familiar dichotomy between background field
configurations and photon excitations around them. We are then able to explain
why a typical linear environment for the electromagnetic field will effectively
render the former classically distinct, but leave the latter fully quantum
mechanical. Finally, we suggest how and why quantum matter fields should suffer
a very different form of decoherence.
| [
{
"version": "v1",
"created": "Fri, 20 Oct 1995 23:07:39 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Anglin",
"J. R.",
""
],
[
"Zurek",
"W. H.",
""
]
] |
quant-ph/9510022 | null | Bogdan Mielnik and Marco A. Reyes | The Classical Schrodinger's Equation | UUEncoded Postscript, 18 pages, 4 figures inserted in text | J.Phys.A29:6009-6026,1996 | 10.1088/0305-4470/29/18/029 | Preprint CINVESTAV AUG-1995 (Mexico, D.F.) | quant-ph hep-th | null | A non perturbative numerical method for determining the discrete spectra is
deduced from the classical analogue of the Schrodinger's equation. The energy
eigenvalues coincide with the bifurcation parameters for the classical orbits.
| [
{
"version": "v1",
"created": "Mon, 23 Oct 1995 20:41:01 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Mielnik",
"Bogdan",
""
],
[
"Reyes",
"Marco A.",
""
]
] |
quant-ph/9510023 | null | Robert Bluhm, Alan Kostelecky, and Bogdan Tudose | Keplerian Squeezed States and Rydberg Wave Packets | accepted for publication in Physical Review A | Phys.Rev.A53:937-945,1996 | 10.1103/PhysRevA.53.937 | IUHET 311, August 1995 | quant-ph | null | We construct minimum-uncertainty solutions of the three-dimensional
Schr\"odinger equation with a Coulomb potential. These wave packets are
localized in radial and angular coordinates and are squeezed states in three
dimensions. They move on elliptical keplerian trajectories and are appropriate
for the description of the corresponding Rydberg wave packets, the production
of which is the focus of current experimental effort. We extend our analysis to
incorporate the effects of quantum defects in alkali-metal atoms, which are
used in experiments.
| [
{
"version": "v1",
"created": "Mon, 23 Oct 1995 15:30:13 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Bluhm",
"Robert",
""
],
[
"Kostelecky",
"Alan",
""
],
[
"Tudose",
"Bogdan",
""
]
] |
quant-ph/9510024 | Wolfgang Luecke | W. Luecke | Axiomatic Quantum Theory | 29 pages, LaTeX, e-mail address corrected | Acta Phys.Polon.B27:2357-2386,1996 | null | null | quant-ph | null | A rough overview is given over the most essential structures underlying all
working quantum theoretical models as well as axiomatic and algebraic quantum
field theory .
| [
{
"version": "v1",
"created": "Tue, 24 Oct 1995 16:44:02 GMT"
},
{
"version": "v2",
"created": "Wed, 25 Oct 1995 14:28:27 GMT"
}
] | 2011-04-15T00:00:00 | [
[
"Luecke",
"W.",
""
]
] |
quant-ph/9510025 | Markus Holzmann | Juergen Audretsch, Rainer Mueller and Markus Holzmann | Generalized Unruh effect and Lamb shift for atoms on arbitrary
stationary trajectories | 12 pages, LaTeX, 1 figure, to be published in Classical and Quantum
Gravity | Class. Quant. Grav. 12 (1995) 2927 | 10.1088/0264-9381/12/12/010 | KONS-RGKU-95-07 | quant-ph atom-ph gr-qc hep-ph | null | We study the spontaneous de-excitation and excitation of accelerated atoms on
arbitrary stationary trajectories (``generalized Unruh effect''). We consider
the effects of vacuum fluctuations and radiation reaction separately. We show
that radiation reaction is generally not altered by stationary acceleration,
whereas the contribution of vacuum fluctuations differs for all stationary
accelerated trajectories from its inertial value. Spontaneous excitation from
the ground state occurs for all { accelerated stationary} trajectories and is
therefore the ``normal case''. We furthermore show that the radiative energy
shift (``Lamb shift'') of a two-level atom is modified by acceleration for all
stationary trajectories. Again only vacuum fluctuations give rise to the shift.
Our results are illustrated for the special case of an atom in circular motion,
which may be experimentally relevant.
| [
{
"version": "v1",
"created": "Wed, 25 Oct 1995 13:51:08 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Audretsch",
"Juergen",
""
],
[
"Mueller",
"Rainer",
""
],
[
"Holzmann",
"Markus",
""
]
] |
quant-ph/9510026 | Stefan Mashkevich | Stefan V. Mashkevich (Institute for Theoretical Physics, Kiev) and
Vladimir S. Mashkevich (Institute of Physics, Kiev) | Quantum decoherence and an adiabatic process in macroscopic and
mesoscopic systems | 4 pages, LATEX, Elsevier style espcrc1.sty, to appear in Proceedings
of ISQM-Tokyo '95 | null | null | null | quant-ph adap-org nlin.AO | null | Quantum decoherence is of primary importance for relaxation to an equilibrium
distribution and, accordingly, for equilibrium processes. We demonstrate how
coherence breaking implies evolution to a microcanonical distribution
(``microcanonical postulate'') and, on that ground, consider an adiabatic
process, in which there is no thermostat. We stress its difference from a
zero-polytropic process, i.e., a process with zero heat capacity but involving
a thermostat. We find the distribution for the adiabatic process and show that
(i) in the classical limit this distribution is canonical, (ii) for macroscopic
systems, the mean values of energy for adiabatic and zero-polytropic processes
are the same, but its fluctuations are different, and (iii) in general,
adiabatic and zero-polytropic processes are different, which is particularly
essential for mesoscopic systems; for those latter, an adiabatic process is in
general irreversible.
| [
{
"version": "v1",
"created": "Thu, 26 Oct 1995 14:04:46 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Mashkevich",
"Stefan V.",
"",
"Institute for Theoretical Physics, Kiev"
],
[
"Mashkevich",
"Vladimir S.",
"",
"Institute of Physics, Kiev"
]
] |
quant-ph/9510027 | K. Berndl | K. Berndl (Munich), D. Duerr (Munich), S. Goldstein (Rutgers), N.
Zanghi (Genova) | EPR-Bell Nonlocality, Lorentz Invariance, and Bohmian Quantum Theory | 24 pages, LaTex, 4 figures | Phys.Rev.A53:2062-2073,1996 | 10.1103/PhysRevA.53.2062 | null | quant-ph | null | We discuss the problem of finding a Lorentz invariant extension of Bohmian
mechanics. Due to the nonlocality of the theory there is (for systems of more
than one particle) no obvious way to achieve such an extension. We present a
model invariant under a certain limit of Lorentz transformations, a limit
retaining the characteristic feature of relativity, the non-existence of
absolute time resp. simultaneity. The analysis of this model exemplifies an
important property of any Bohmian quantum theory: the quantum equilibrium
distribution $\rho = |\psi |^2$ cannot simultaneously be realized in all
Lorentz frames of reference.
| [
{
"version": "v1",
"created": "Thu, 26 Oct 1995 16:11:22 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Berndl",
"K.",
"",
"Munich"
],
[
"Duerr",
"D.",
"",
"Munich"
],
[
"Goldstein",
"S.",
"",
"Rutgers"
],
[
"Zanghi",
"N.",
"",
"Genova"
]
] |
quant-ph/9510028 | null | Lajos Diosi | A True Equation to Couple Classical and Quantum Dynamics | 8pp LaTeX | null | null | null | quant-ph | null | Starting from the Schr\"odinger-equation of a composite system, we derive
unified dynamics of a classical harmonic system coupled to an arbitrary
quantized system. The classical subsystem is described by random phase-space
coordinates entangled with the quantized variables of the complementary
subsystem. Our semiclassical equation is {\it true} in a sense that its
predictions are identical to those of the fully quantized composite dynamics.
This exact method applies to a broad class of theories, including e.g. the
relativistic quantum-electrodynamics and the electron-fonon dynamics.
| [
{
"version": "v1",
"created": "Thu, 26 Oct 1995 21:54:00 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Diosi",
"Lajos",
""
]
] |
quant-ph/9510029 | null | Robert Bluhm, Alan Kostelecky, and James Porter | The Evolution and Revival Structure of Localized Quantum Wave Packets | accepted for publication in Am. J. Phys | Am.J.Phys.64:944-953,1996 | 10.1119/1.18304 | IUHET 308, July 1995 | quant-ph | null | Localized quantum wave packets can be produced in a variety of physical
systems and are the subject of much current research in atomic, molecular,
chemical, and condensed-matter physics. They are particularly well suited for
studying the classical limit of a quantum-mechanical system. The motion of a
localized quantum wave packet initially follows the corresponding classical
motion. However, in most cases the quantum wave packet spreads and undergoes a
series of collapses and revivals. We present a generic treatment of wave-packet
evolution, and we provide conditions under which various types of revivals
occur in ideal form. The discussion is at a level appropriate for an advanced
undergraduate or first-year graduate course in quantum mechanics. Explicit
examples of different types of revival structure are provided, and physical
applications are discussed.
| [
{
"version": "v1",
"created": "Fri, 27 Oct 1995 13:40:06 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Bluhm",
"Robert",
""
],
[
"Kostelecky",
"Alan",
""
],
[
"Porter",
"James",
""
]
] |
quant-ph/9510030 | Marc Jaekel | Marc-Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole
Normale Sup\'erieure) and Serge Reynaud (Laboratoire Kastler-Brossel) | Acceleration of Quantum Fields | 16 pages, to appear in Brazilian Journal of Physics, special issue on
Quantum Optics, ed. L. Davidovich | Braz.J.Phys.25:315-323,1995 | null | LPTENS 95/30 | quant-ph | null | We analyze the transformation of quantum fields under conformal coordinate
transformations from inertial to accelerated frames, in the simple case of
scalar massless fields in a two-dimensional spacetime, through the
transformation of particle number and its spectral density. Particle number is
found to be invariant under conformal coordinate transformations to uniformly
accelerated frames, which extends the property already known for vacuum.
Transformation of spectral density of particle number exhibits a redistribution
of particles in the frequency spectrum. This redistribution is determined by
derivatives of phase operators with respect to frequency, that is by time and
position operators defined in such a manner that the redistribution of
particles appears as a Doppler shift which depends on position in spacetime, in
conformity with Einstein equivalence principle.
| [
{
"version": "v1",
"created": "Tue, 31 Oct 1995 09:41:47 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Jaekel",
"Marc-Thierry",
"",
"Laboratoire de Physique Théorique de l'Ecole\n Normale Supérieure"
],
[
"Reynaud",
"Serge",
"",
"Laboratoire Kastler-Brossel"
]
] |
quant-ph/9511001 | Nicholas Landsman | N.P. Landsman (DAMTP, Cambridge) | Classical behaviour in quantum mechanics: a transition probability
approach | LaTeX, 11 pages | null | 10.1142/S0217979296000647 | null | quant-ph | null | A formalism is developed for describing approximate classical behaviour in
finite (but possibly large) quantum systems. This is done in terms of a
structure common to classical and quantum mechanics, viz. a Poisson space with
a transition probability. Both the limit where Planck's constant goes to zero
in a fixed finite system and the limit where the size of the system goes to
infinity are incorporated. In either case, classical behaviour is seen only for
certain observables and in a restricted class of states.
| [
{
"version": "v1",
"created": "Wed, 1 Nov 1995 14:59:09 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Landsman",
"N. P.",
"",
"DAMTP, Cambridge"
]
] |
quant-ph/9511002 | George Svetlichny | George Svetlichny (Pontif\'icia Universidade Cat\'olica, Rio de
Janeiro) | Quantum Formalism with State-Collapse and Superluminal Communication | Version accepted for publication. More extensive discussion and
clarification. Essential conclusions unchanged. 29 pages. LaTeX. Foundations
of Physics (to appear) | Foundation of Physics 28, (1998) 131 | null | null | quant-ph gr-qc hep-th | null | Given the collapse hypothesis (CH) of quantum measurement, EPR-type
correlations along with the hypothesis of the impossibility of superluminal
communication (ISC) have the effect of globalizing gross features of the
quantum formalism making them universally true. In particular, these hypotheses
imply that state transformations of density matrices must be linear and that
evolution which preserves purity of states must also be linear. A gedanken
experiment shows that lorentz covariance along with the second law of
thermodynamics imply a non-entropic version of ISC. Partial results using
quantum logic suggest, given ISC and a version of CH, a connection between
lorentz covariance and the covering law. These results show that standard
quantum mechanics is structurally unstable, and suggest that viable
relativistic alternatives must question CH. One may also speculate that some
features of the hilbert-space model of quantum mechanics have their origin in
space-time structure.
| [
{
"version": "v1",
"created": "Wed, 1 Nov 1995 18:44:08 GMT"
},
{
"version": "v2",
"created": "Wed, 24 Sep 1997 21:30:46 GMT"
}
] | 2016-08-15T00:00:00 | [
[
"Svetlichny",
"George",
"",
"Pontifícia Universidade Católica, Rio de\n Janeiro"
]
] |
quant-ph/9511003 | Isaac Chuang | I. L. Chuang and R. Laflamme | Quantum Error Correction by Coding | 11 pages RevTeX + 2 figures in postscript; Please see
http://feynman.stanford.edu/qcomp/ for figures. | null | null | null | quant-ph | null | Recent progress in quantum cryptography and quantum computers has given hope
to their imminent practical realization. An essential element at the heart of
the application of these quantum systems is a quantum error correction scheme.
We propose a new technique based on the use of coding in order to detect and
correct errors due to imperfect transmission lines in quantum cryptography or
memories in quantum computers. We give a particular example of how to detect a
decohered qubit in order to transmit or preserve with high fidelity the
original qubit.
| [
{
"version": "v1",
"created": "Fri, 3 Nov 1995 09:45:25 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Chuang",
"I. L.",
""
],
[
"Laflamme",
"R.",
""
]
] |
quant-ph/9511004 | Giuseppe Iannaccone | Giuseppe Iannaccone | General relation between state density and dwell times in mesoscopic
systems | RevTeX file, 6 pages, no figures | Phys. Rev. B 51, 4727 (1995) | 10.1103/PhysRevB.51.4727 | null | quant-ph cond-mat | null | A relevant relation between the dwell time and the density of states for a
three dimensional system of arbitrary shape with an arbitrary number of
incoming channel is derived. This result extends the one obtained by Gasparian
et al. for the special case of a layered one dimensional symmetrical system. We
believe that such a strong relation between the most widely accepted time
related to the dynamics of a particle and the density of states in the barrier
region, one of the most relevant properties of a system in equilibrium, is rich
of physical significance.
| [
{
"version": "v1",
"created": "Fri, 3 Nov 1995 16:14:28 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Iannaccone",
"Giuseppe",
""
]
] |
quant-ph/9511005 | Lev Vaidman | Yakir Aharonov, Lev Vaidman | About Position Measurements Which Do Not Show the Bohmian Particle
Position | 13 pages, LaTeX, 4 figures, contribution to "Bohmian Mechanics and
Quantum Theory: An Appraisal," edited by J.T. Cushing, A. Fine, and S.
Goldstein (Kluwer, to appear) | null | null | TAUP 2301-95 | quant-ph | null | ``Weak'', ``protective'', and ``delayed observation'' measurements are
analyzed in the framework of the Bohm interpretation of quantum theory. It is
argued that the above varieties of measurements manifest some difficulties of
the Bohm interpretation since they show that Bohmian trajectories behave not as
we would expect from a classical type model.
| [
{
"version": "v1",
"created": "Mon, 6 Nov 1995 09:26:54 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Aharonov",
"Yakir",
""
],
[
"Vaidman",
"Lev",
""
]
] |
quant-ph/9511006 | Ludger Hannibal | Ludger Hannibal (Carl v. Ossietzky Universitaet Oldenburg, Germany) | On Hegerfeldt's paradox | 2 pages, Revtex | null | null | null | quant-ph | null | The acausal behavior of relativistic states exhibited by Hegerfeldt is shown
not to be present in physical systems described by first order in time
evolution equations.
| [
{
"version": "v1",
"created": "Tue, 7 Nov 1995 13:35:35 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Hannibal",
"Ludger",
"",
"Carl v. Ossietzky Universitaet Oldenburg, Germany"
]
] |
quant-ph/9511007 | Robert B. Griffiths | Robert B. Griffiths and Chi-Sheng Niu (Carnegie-Mellon) | Semiclassical Fourier Transform for Quantum Computation | Latex 6 pages, two figures on one page in uuencoded Postscript | Phys.Rev.Lett. 76 (1996) 3228-3231 | 10.1103/PhysRevLett.76.3228 | null | quant-ph | null | Shor's algorithms for factorization and discrete logarithms on a quantum
computer employ Fourier transforms preceding a final measurement. It is shown
that such a Fourier transform can be carried out in a semi-classical way in
which a ``classical'' (macroscopic) signal resulting from the measurement of
one bit (embodied in a two-state quantum system) is employed to determine the
type of measurement carried out on the next bit, and so forth. In this way the
two-bit gates in the Fourier transform can all be replaced by a smaller number
of one-bit gates controlled by classical signals. Success in simplifying the
Fourier transform suggests that it may be worthwhile looking for other ways of
using semi-classical methods in quantum computing.
| [
{
"version": "v1",
"created": "Tue, 7 Nov 1995 20:51:57 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Griffiths",
"Robert B.",
"",
"Carnegie-Mellon"
],
[
"Niu",
"Chi-Sheng",
"",
"Carnegie-Mellon"
]
] |
quant-ph/9511008 | Wolfgang Lange | Q.A.Turchette, C.J.Hood, W.Lange, H.Mabuchi, and H.J.Kimble
(California Institute of Technology, Pasadena, CA) | Measurement of conditional phase shifts for quantum logic | 4 pages in Postscript format, including 4 figures (attached as
uuencoded version of a gzip-file) | Phys.Rev.Lett. 75 (1995) 4710-4713 | 10.1103/PhysRevLett.75.4710 | null | quant-ph | null | Measurements of the birefringence of a single atom strongly coupled to a
high-finesse optical resonator are reported, with nonlinear phase shifts
observed for intracavity photon number much less than one. A proposal to
utilize the measured conditional phase shifts for implementing quantum logic
via a quantum-phase gate (QPG) is considered. Within the context of a simple
model for the field transformation, the parameters of the "truth table" for the
QPG are determined.
| [
{
"version": "v1",
"created": "Wed, 8 Nov 1995 01:46:09 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Turchette",
"Q. A.",
"",
"California Institute of Technology, Pasadena, CA"
],
[
"Hood",
"C. J.",
"",
"California Institute of Technology, Pasadena, CA"
],
[
"Lange",
"W.",
"",
"California Institute of Technology, Pasadena, CA"
],
[
"Mabuchi",
"H.",
"",
"California Institute of Technology, Pasadena, CA"
],
[
"Kimble",
"H. J.",
"",
"California Institute of Technology, Pasadena, CA"
]
] |
quant-ph/9511009 | null | B.L.G. Bakker, M.I. Polikarpov and A.I. Veselov | Pauli-Potential and Green Function Monte-Carlo Method for Many-Fermion
Systems | 12 pages, LaTeX, 4 figures | Few Body Syst. 25 (1998) 101-113 | 10.1007/s006010050097 | ITEP-TH-11/95 | quant-ph atom-ph hep-lat nucl-th | null | The time evolution of a many-fermion system can be described by a Green's
function corresponding to an effective potential, which takes
anti-symmetrization of the wave function into account, called the
Pauli-potential. We show that this idea can be combined with the Green's
Function Monte Carlo method to accurately simulate a system of many
non-relativistic fermions. The method is illustrated by the example of systems
of several (2-9) fermions in a square well.
| [
{
"version": "v1",
"created": "Wed, 8 Nov 1995 16:04:42 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Bakker",
"B. L. G.",
""
],
[
"Polikarpov",
"M. I.",
""
],
[
"Veselov",
"A. I.",
""
]
] |
quant-ph/9511010 | Christopher Fuchs | H. Barnum, C. M. Caves, C. A. Fuchs, R. Jozsa, B. Schumacher | Noncommuting mixed states cannot be broadcast | 11 pages, formatted in RevTeX | Phys.Rev.Lett. 76 (1996) 2818-2821 | 10.1103/PhysRevLett.76.2818 | null | quant-ph | null | We show that, given a general mixed state for a quantum system, there are no
physical means for {\it broadcasting\/} that state onto two separate quantum
systems, even when the state need only be reproduced marginally on the separate
systems. This result generalizes and extends the standard no-cloning theorem
for pure states.
| [
{
"version": "v1",
"created": "Wed, 8 Nov 1995 22:20:40 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Barnum",
"H.",
""
],
[
"Caves",
"C. M.",
""
],
[
"Fuchs",
"C. A.",
""
],
[
"Jozsa",
"R.",
""
],
[
"Schumacher",
"B.",
""
]
] |
quant-ph/9511011 | M. Daumer | M. Daumer, D. D\"urr (LMU Munich), S. Goldstein (Rutgers), N. Zanghi
(Genova) | On the Flux-Across-Surfaces Theorem | 13 pages, latex, 1 figure, very minor revisions, to appear in Letters
in Mathematical Physics, Vol. 38, Nr. 1 | Lett.Math.Phys. 38 (1996) 103-116 | 10.1007/BF00398303 | null | quant-ph | null | The quantum probability flux of a particle integrated over time and a distant
surface gives the probability for the particle crossing that surface at some
time. We prove the free Flux-Across-Surfaces Theorem, which was conjectured by
Combes, Newton and Shtokhamer, and which relates the integrated quantum flux to
the usual quantum mechanical formula for the cross section. The integrated
quantum flux is equal to the probability of outward crossings of surfaces by
Bohmian trajectories in the scattering regime.
| [
{
"version": "v1",
"created": "Thu, 9 Nov 1995 10:20:40 GMT"
},
{
"version": "v2",
"created": "Fri, 9 Feb 1996 18:01:50 GMT"
},
{
"version": "v3",
"created": "Thu, 9 May 1996 13:21:32 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Daumer",
"M.",
"",
"LMU Munich"
],
[
"Dürr",
"D.",
"",
"LMU Munich"
],
[
"Goldstein",
"S.",
"",
"Rutgers"
],
[
"Zanghi",
"N.",
"",
"Genova"
]
] |
quant-ph/9511012 | Kakazu Kiyotaka | K. Kakazu and Y. S. Kim | Quantization of electromagnetic fields in a circular cylindrical cavity | 12 pages, latex, no figures | null | null | DPUR-85 | quant-ph | null | We present a quantization procedure for the electromagnetic field in a
circular cylindrical cavity with perfectly conducting walls, which is based on
the decomposition of the field. A new decomposition procedure is proposed; all
vector mode functions satisfying the boundary conditions are obtained with the
help of this decomposition. After expanding the quantized field in terms of the
vector mode functions, it is possible to derive the Hamiltonian for this
quantized system.
| [
{
"version": "v1",
"created": "Sat, 11 Nov 1995 06:12:35 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kakazu",
"K.",
""
],
[
"Kim",
"Y. S.",
""
]
] |
quant-ph/9511013 | Kim Sang Pyo | Jung Kon Kim, Sang Pyo Kim (Department of Physics, Kunsan National
University, Korea) | Group Theoretical Approach to the Coherent and the Squeeze States of a
Time-Dependent Harmonic Oscillator with a Singular Term | 22 pages of Latex file | J.Korean Phys.Soc. 28 (1995) 7 | null | null | quant-ph | null | For a time-dependent harmonic oscillator with an inverse squared singular
term, we find the generalized invariant using the Lie algebra of $SU(2)$ and
construct the number-type eigenstates and the coherent states using the
spectrum-generating Lie algebra of $SU(1,1)$. We obtain the evolution operator
in both of the Lie algebras. The number-type eigenstates and the coherent
states are constructed group-theoretically for both the time-independent and
the time-dependent harmonic oscillators with the singular term. It is shown
that the squeeze operator transforms unitarily the time-dependent basis of the
spectrum-generating Lie algebra of $SU(1,1)$ for the generalized invariant, and
thereby evolves the initial vacuum into a final coherent vacuum.
| [
{
"version": "v1",
"created": "Mon, 13 Nov 1995 07:13:13 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kim",
"Jung Kon",
"",
"Department of Physics, Kunsan National\n University, Korea"
],
[
"Kim",
"Sang Pyo",
"",
"Department of Physics, Kunsan National\n University, Korea"
]
] |
quant-ph/9511014 | Arlen Anderson | Arlen Anderson | Coupling ``Classical'' and Quantum Variables | Latex, 16 pp. This is a contribution to the proceedings of the 4th
Drexel Symposium on Quantum Nonintegrability, Drexel University, Sep. 1994 | null | null | UNC-IFP 95-514 | quant-ph gr-qc | null | Experimentally, certain degrees of freedom may appear classical because their
quantum fluctuations are smaller than the experimental error associated with
measuring them. An approximation to a fully quantum theory is described in
which the self-interference of such ``quasiclassical'' variables is neglected
so that they behave classically when not coupled to other quantum variables.
Coupling to quantum variables can lead to evolution in which quasiclassical
variables do not have definite values, but values which are correlated to the
state of the quantum variables. A mathematical description implementing this
backreaction of the quantum variables on the quasiclassical variables is
critically discussed.
| [
{
"version": "v1",
"created": "Mon, 13 Nov 1995 13:04:49 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Anderson",
"Arlen",
""
]
] |
quant-ph/9511015 | Hiro | Masahiro Morikawa | Spontaneous dissipation from generalized radiative corrections | 10 pages | null | null | OCHA-PP-53 | quant-ph | null | We derive dissipative effective Hamiltonian for the unstable Lee model
without any ad hoc coarse graining procedure. Generalized radiative
corrections, utilizing the in-in formalism of quantum field theory,
automatically yield irreversibility as well as the decay of quantum coherence.
Especially we do not need to extend the ordinary Hilbert space for describing
the intrinsically dissipative system if we use the generalized in-in formalism
of quantum field theory.
| [
{
"version": "v1",
"created": "Tue, 14 Nov 1995 07:54:49 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Morikawa",
"Masahiro",
""
]
] |
quant-ph/9511016 | D. Duerr | D. D\"urr (Munich), S. Goldstein (Rutgers), N. Zanghi (Genova) | Bohmian Mechanics as the Foundation of Quantum Mechanics | 35 pages, latex, no figures, Contribution to ``Bohmian Mechanics and
Quantum Theory: An Appraisal,'' edited by J.T. Cushing, A. Fine, S.
Goldstein, Kluwer Academic Press, to appear | null | null | null | quant-ph | null | In order to arrive at Bohmian mechanics from standard nonrelativistic quantum
mechanics one need do almost nothing! One need only complete the usual quantum
description in what is really the most obvious way: by simply including the
positions of the particles of a quantum system as part of the state description
of that system, allowing these positions to evolve in the most natural way. The
entire quantum formalism, including the uncertainty principle and quantum
randomness, emerges from an analysis of this evolution. This can be expressed
succinctly---though in fact not succinctly enough---by declaring that the
essential innovation of Bohmian mechanics is the insight that {\it particles
move }!
| [
{
"version": "v1",
"created": "Tue, 14 Nov 1995 11:18:31 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Dürr",
"D.",
"",
"Munich"
],
[
"Goldstein",
"S.",
"",
"Rutgers"
],
[
"Zanghi",
"N.",
"",
"Genova"
]
] |
quant-ph/9511017 | Matteo G. A. Paris | Matteo G. A. Paris (AG Nichtklassiche Strahlung der
Max-Planck-Gesellschaft, Berlin, Germany.) | Quantum state measurement by realistic heterodyne detection | Revtex. 5 figures, PostScript files available from the author.
Submitted to PRA | Phys.Rev.A53:2658,1996 | 10.1103/PhysRevA.53.2658 | null | quant-ph atom-ph | null | The determination of the quantum properties of a single mode radiation field
by heterodyne or double homodyne detection is studied. The realistic case of
not fully efficient photodetectors is considered. It is shown that a large
amount of quite {\em precise} information is avalaible whereas the completeness
of such information is also discussed. Some examples are given and the special
case of states expressed as a finite superposition of number states is
considered in some detail.
| [
{
"version": "v1",
"created": "Tue, 14 Nov 1995 16:28:49 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Paris",
"Matteo G. A.",
"",
"AG Nichtklassiche Strahlung der\n Max-Planck-Gesellschaft, Berlin, Germany."
]
] |
quant-ph/9511018 | Adriano Barenco | V. Vedral, A. Barenco and A. Ekert | Quantum Networks for Elementary Arithmetic Operations | 7 pages, LaTeX, + 6 PS figures in a tar compressed file. See also
http://eve.physics.ox.ac.uk/QChome.html | null | 10.1103/PhysRevA.54.147 | null | quant-ph | null | Quantum computers require quantum arithmetic. We provide an explicit
construction of quantum networks effecting basic arithmetic operations: from
addition to modular exponentiation. Quantum modular exponentiation seems to be
the most difficult (time and space consuming) part of Shor's quantum
factorising algorithm. We show that the auxiliary memory required to perform
this operation in a reversible way grows linearly with the size of the number
to be factorised.
| [
{
"version": "v1",
"created": "Thu, 16 Nov 1995 10:34:53 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Vedral",
"V.",
""
],
[
"Barenco",
"A.",
""
],
[
"Ekert",
"A.",
""
]
] |
quant-ph/9511019 | null | Christopher King, Andrzej Lesniewski | Quantum sources and a quantum coding theorem | 18 pages, plain TeX, all macros included | J.Math.Phys. 39 (1998) 88-101 | 10.1063/1.532309 | HUTMP 95/441 | quant-ph | null | We define a large class of quantum sources and prove a quantum analog of the
asymptotic equipartition property. Our proof relies on using local measurements
on the quantum source to obtain an associated classical source. The classical
source provides an upper bound for the dimension of the relevant subspace of
the quantum source, via the Shannon-McMillan noiseless coding theorem. Along
the way we derive a bound for the von Neumann entropy of the quantum source in
terms of the Shannon entropy of the classical source, and we provide a
definition of ergodicity of the quantum source. Several explicit models of
quantum sources are also presented.
| [
{
"version": "v1",
"created": "Fri, 17 Nov 1995 23:39:21 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"King",
"Christopher",
""
],
[
"Lesniewski",
"Andrzej",
""
]
] |
quant-ph/9511020 | Hagen Kleinert | H. Kleinert | Quantum Equivalence Principle for Path Integrals in Spaces with
Curvature and Torsion | null | in Proceedings of the XXV International Symposium Ahrenshoop on
Theory of Elementary Particles in Gosen/Germany 1991, ed. by H. J. Kaiser | null | null | quant-ph | null | We formulate a new quantum equivalence principle by which a path integral for
a particle in a general metric-affine space is obtained from that in a flat
space by a non-holonomic coordinate transformation. The new path integral is
free of the ambiguities of earlier proposals and the ensuing Schr\"odinger
equation does not contain the often-found but physically false terms
proportional to the scalar curvature. There is no more quantum ordering
problem. For a particle on the surface of a sphere in $D$ dimensions, the new
path integral gives the correct energy $\propto \hat L^2$ where $\hat L$ are
the generators of the rotation group in ${\bf x}$-space. For the transformation
of the Coulomb path integral to a harmonic oscillator, which passes at an
intermediate stage a space with torsion, the new path integral renders the
correct energy spectrum with no unwanted time-slicing corrections.
| [
{
"version": "v1",
"created": "Sat, 18 Nov 1995 08:45:29 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kleinert",
"H.",
""
]
] |
quant-ph/9511021 | Dmitriy Palatnik | Dmitriy Palatnik | Born--Infeld theory of Electroweak and Gravitational fields | This paper has been withdrawn | null | null | null | quant-ph | null | This paper has been withdrawn due to submission of subsequent versions as a
new preprint
| [
{
"version": "v1",
"created": "Sat, 18 Nov 1995 23:51:00 GMT"
},
{
"version": "v2",
"created": "Sun, 19 Nov 1995 04:12:00 GMT"
},
{
"version": "v3",
"created": "Fri, 15 Oct 2004 01:53:27 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Palatnik",
"Dmitriy",
""
]
] |
quant-ph/9511022 | Kiknadze Nicholz | A. Khelashvili and N. Kiknadze | The von Neumann-Wigner type potentials and the wave functions'
asymptotics for the discrete levels in continuum | latex, 7 pages | J.Phys.A29:3209-3212,1996 | 10.1088/0305-4470/29/12/025 | null | quant-ph | null | One to one correspondence between the decay law of the von Neumann-Wigner
type potentials and the asymptotic behaviour of the wave functions representing
bound states in the continuum is established.
| [
{
"version": "v1",
"created": "Sun, 19 Nov 1995 20:42:10 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Khelashvili",
"A.",
""
],
[
"Kiknadze",
"N.",
""
]
] |
quant-ph/9511023 | Simpson | Michael Simpson (University of Western Australia) | Localisation and Nonlocality in Compound Energy-Momentum Eigenstates | 21 pages including 3 postscript figures | null | null | null | quant-ph gr-qc hep-th | null | A thought experiment considering conservation of energy and momentum for a
pair of free bodies together with their internal energy is used to show the
existence of states that have localised position while being eigenstates of
energy and momentum. These states are applicable to all varieties of physical
bodies, including planets and stars in free motion in the universe. The states
are compound entanglements of multiple free bodies in which the momenta of the
bodies are anticorrelated so that they always sum to zero, while their total
kinetic energy is anticorrelated with their internal energies, so the total is
a constant, E. The bodies are relatively localised while the total state has
well-defined energy and momentum. These states do not violate Heisenberg
uncertainty because the total centre of mass is not localised, hence the states
naturally describe whole universes rather than isolated systems within a
universe. A further property of these states, resulting from the form of the
entanglement, is that they display nonlocality in the full sense of signal
transmission rather than the more restricted Bell sense.
| [
{
"version": "v1",
"created": "Mon, 20 Nov 1995 08:14:09 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Simpson",
"Michael",
"",
"University of Western Australia"
]
] |
quant-ph/9511024 | BoB | Roberto Casadio and Giovanni Venturi (Department of physics,
University of Bologna, and I.N.F.N. Sezione di Bologna, Italy) | The accelerated observer and quantum effects | Plain Tex, 10 pages | Phys.Lett. A199 (1995) 33 | 10.1016/0375-9601(95)00099-O | null | quant-ph hep-th | null | An extended monopole detector at constant acceleration coupled to a massless
scalar field is allowed to evolve quantum mechanically. It is found that while
in the classical, followed by the point particle, limit the usual result Unruh
effect is recovered, in the point particle (before the classical) limit the
detector decouples from the scalar field and therefore the effect disappears.
| [
{
"version": "v1",
"created": "Mon, 20 Nov 1995 09:50:27 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Casadio",
"Roberto",
"",
"Department of physics,\n University of Bologna, and I.N.F.N. Sezione di Bologna, Italy"
],
[
"Venturi",
"Giovanni",
"",
"Department of physics,\n University of Bologna, and I.N.F.N. Sezione di Bologna, Italy"
]
] |
quant-ph/9511025 | Hoi-Kwong Lo | Hoi-Kwong Lo and H. F. Chau | Quantum Cryptography in Noisy Channels | 22 pages, REVTEX | null | null | IASSNS-HEP-95/93 | quant-ph | null | We provide a complete proof of the security of quantum cryptography against
any eavesdropping attack including coherent measurements even in the presence
of noise. Polarization-based cryptographic schemes are shown to be equivalent
to EPR-based schemes. We also show that the performance of a noisy channel
approaches that of a noiseless one as the error rate tends to zero. (i.e., the
secrecy capacity $C_s (\epsilon) \to C_s (0)$ as $\epsilon \to 0$.) One
implication of our results is that one can {\it double} the efficiency of a
most well-known quantum cryptographic scheme proposed by Bennett and Brassard
simply by assigning vastly different probabilities to the two conjugate bases.
| [
{
"version": "v1",
"created": "Mon, 20 Nov 1995 19:34:12 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Lo",
"Hoi-Kwong",
""
],
[
"Chau",
"H. F.",
""
]
] |
quant-ph/9511026 | Alexey Kitaev | A.Yu.Kitaev (L.D.Landau Institute for Theoretical Physics, Moscow) | Quantum measurements and the Abelian Stabilizer Problem | 22 pages, LATEX | null | null | null | quant-ph | null | We present a polynomial quantum algorithm for the Abelian stabilizer problem
which includes both factoring and the discrete logarithm. Thus we extend famous
Shor's results. Our method is based on a procedure for measuring an eigenvalue
of a unitary operator. Another application of this procedure is a polynomial
quantum Fourier transform algorithm for an arbitrary finite Abelian group. The
paper also contains a rather detailed introduction to the theory of quantum
computation.
| [
{
"version": "v1",
"created": "Mon, 20 Nov 1995 20:39:33 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Kitaev",
"A. Yu.",
"",
"L.D.Landau Institute for Theoretical Physics, Moscow"
]
] |
quant-ph/9511027 | John Smolin | Charles H. Bennett, Gilles Brassard, Sandu Popescu, Benjamin
Schumacher, John A. Smolin and William K. Wootters | Purification of Noisy Entanglement and Faithful Teleportation via Noisy
Channels | 4 pages (revtex) plus 1 figure (postscript). See also
http://vesta.physics.ucla.edu/~smolin/ . Replaced to correct interchanged
$\sigma_x$ and $\sigma_z$ near top of column 2, page 2 | Phys.Rev.Lett.76:722-725,1996 | 10.1103/PhysRevLett.76.722 | null | quant-ph | null | Two separated observers, by applying local operations to a supply of
not-too-impure entangled states ({\em e.g.} singlets shared through a noisy
channel), can prepare a smaller number of entangled pairs of arbitrarily high
purity ({\em e.g.} near-perfect singlets). These can then be used to faithfully
teleport unknown quantum states from one observer to the other, thereby
achieving faithful transfrom one observer to the other, thereby achieving
faithful transmission of quantum information through a noisy channel. We give
upper and lower bounds on the yield $D(M)$ of pure singlets ($\ket{\Psi^-}$)
distillable from mixed states $M$, showing $D(M)>0$ if
$\bra{\Psi^-}M\ket{\Psi^-}>\half$.
| [
{
"version": "v1",
"created": "Mon, 20 Nov 1995 21:16:55 GMT"
},
{
"version": "v2",
"created": "Wed, 22 Nov 1995 17:00:55 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Bennett",
"Charles H.",
""
],
[
"Brassard",
"Gilles",
""
],
[
"Popescu",
"Sandu",
""
],
[
"Schumacher",
"Benjamin",
""
],
[
"Smolin",
"John A.",
""
],
[
"Wootters",
"William K.",
""
]
] |
quant-ph/9511028 | Olavo Leopoldino Da Silva Filho | L.S.F. Olavo | Quantum Mechanics as a Classical Theory VIII: Second Quantization | 9 pages, LaTex, no figures | null | null | UnB-008 | quant-ph | null | We continue in this paper our program of rederiving all quantum mechanical
formalism from the classical one. We now turn our attention to the derivation
of the second quantized equations, both for integral and half-integral spins.
We then show that all the quantum results may be derived using our approach and
also show the interpretation suggested by this derivation. This paper may be
considered as a first approach to the study of the quantum field theory
beginning by the same classical ideas we are supporting since the first paper
of this series.
| [
{
"version": "v1",
"created": "Tue, 21 Nov 1995 12:18:16 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Olavo",
"L. S. F.",
""
]
] |
quant-ph/9511029 | Luanne Neumann | Henry P. Stapp | Chance, Choice, and Consciousness: The Role of Mind in the Quantum Brain | 27 pages, no figures, latexed, uses math_macros.tex that can be found
on Archive, full postscript available from
http://theor1.lbl.gov/www/theorygroup/papers/37944.ps | null | null | LBL-37944 | quant-ph | null | Contemporary quantum mechanical description of nature involves two processes.
The first is a dynamical process governed by the equations of local quantum
field theory. This process is local and deterministic, but it generates a
structure that is not compatible with observed reality. A second process is
therefore invoked. This second process somehow analyzes the structure generated
by the first process into a collection of possible observable realities, and
selects one of these as the actually appearing reality. This selection process
is not well understood. It is necessarily nonlocal and, according to orthodox
thinking, is governed by an irreducible element of chance. The occurrence of
this irreducible element of chance means that the theory is not naturalistic:
the dynamics is controlled in part by something that is not part of the
physical universe. The present work describes a quantum mechanical model of
brain dynamics in which the quantum selection process is a causal process
governed not by pure chance but rather by a mathematically specified nonlocal
physical process identifiable as the conscious process.
| [
{
"version": "v1",
"created": "Tue, 21 Nov 1995 19:23:47 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Stapp",
"Henry P.",
""
]
] |
quant-ph/9511030 | John Smolin | Charles H. Bennett, Herbert J. Bernstein, Sandu Popescu and Benjamin
Schumacher | Concentrating Partial Entanglement by Local Operations | 20 pages (revTeX) plus 1 figure (postscript). See also
http://vesta.physics.ucla.edu/~smolin/ | Phys.Rev.A53:2046-2052,1996 | 10.1103/PhysRevA.53.2046 | null | quant-ph | null | If two separated observers are supplied with entanglement, in the form of $n$
pairs of particles in identical partly-entangled pure states, one member of
each pair being given to each observer; they can, by local actions of each
observer, concentrate this entanglement into a smaller number of
maximally-entangled pairs of particles, for example Einstein-Podolsky-Rosen
singlets, similarly shared between the two observers. The concentration process
asymptotically conserves {\em entropy of entanglement}---the von Neumann
entropy of the partial density matrix seen by either observer---with the yield
of singlets approaching, for large $n$, the base-2 entropy of entanglement of
the initial partly-entangled pure state. Conversely, any pure or mixed
entangled state of two systems can be produced by two classically-communicating
separated observers, drawing on a supply of singlets as their sole source of
entanglement.
| [
{
"version": "v1",
"created": "Tue, 21 Nov 1995 20:03:27 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Bennett",
"Charles H.",
""
],
[
"Bernstein",
"Herbert J.",
""
],
[
"Popescu",
"Sandu",
""
],
[
"Schumacher",
"Benjamin",
""
]
] |
quant-ph/9511031 | Luanne Neumann | Henry P. Stapp (Lawrence Berkeley Laboratory) and Takahiro Kawai
(Kyoto University) | Quantum Electrodynamics at Large Distances II: Nature of the Dominant
Singularities | 40 pages, 11 encapsulated postscript figures, latexed,
math_macros.tex can be found on Archive. full postscript available from
http://theorl.lbl.gov/www/theorgroup/papers/35972.ps | Phys.Rev. D52 (1995) 2505-2516 | 10.1103/PhysRevD.52.2505 | LBNL-35972 | quant-ph | null | Accurate calculations of macroscopic and mesoscopic properties in quantum
electrodynamics require careful treatment of infrared divergences: standard
treatments introduce spurious large-distances effects. A method for computing
these properties was developed in a companion paper. That method depends upon a
result obtained here about the nature of the singularities that produce the
dominant large-distance behaviour. If all particles in a quantum field theory
have non-zero mass then the Landau-Nakanishi diagrams give strong conditions on
the singularities of the scattering functions. These conditions are severely
weakened in quantum electrodynamics by effects of points where photon momenta
vanish. A new kind of Landau-Nakanishi diagram is developed here. It is geared
specifically to the pole-decomposition functions that dominate the macroscopic
behaviour in quantum electrodynamics, and leads to strong results for these
functions at points where photon momenta vanish.
| [
{
"version": "v1",
"created": "Tue, 21 Nov 1995 21:53:39 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Stapp",
"Henry P.",
"",
"Lawrence Berkeley Laboratory"
],
[
"Kawai",
"Takahiro",
"",
"Kyoto University"
]
] |
quant-ph/9511032 | Adrian Kent | Adrian Kent | Remarks on Consistent Histories and Bohmian Mechanics | 14 pages, TeX with harvmac. Minor corrections from previous archive
version | Published in ``Bohmian Mechanics and Quantum Theory: An
Appraisal'', J. Cushing, A. Fine and S. Goldstein (eds), Kluwer Academic
Press (Dordrecht, 1996), pp. 343-352 | null | DAMTP/95-64 | quant-ph | null | Recent work with Dowker on the scientific status of the consistent histories
approach to quantum theory is reviewed and summarised. The approach is compared
with formulations of quantum theory, such as Bohmian mechanics and the
Copenhagen interpretation a la Landau-Lifshitz, in which classical variables
are explicitly appended. I try to explain why the consistent histories
formulation is scientifically problematic, in that it is a very weak theory,
but also scientifically interesting, shedding new light on quantum theory.
| [
{
"version": "v1",
"created": "Wed, 22 Nov 1995 15:06:42 GMT"
},
{
"version": "v2",
"created": "Sat, 22 Mar 1997 14:28:04 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Kent",
"Adrian",
""
]
] |
quant-ph/9511033 | John Klauder | John R. Klauder | Coherent States for the Hydrogen Atom | 8 pages, TeX, no figures | J.Phys. A29 (1996) L293-L298 | 10.1088/0305-4470/29/12/002 | null | quant-ph | null | The long-standing problem of finding coherent states for the (bound state
portion of the) hydrogen atom is positively resolved. The states in question:
(i) are normalized and are parameterized continuously, (ii) admit a resolution
of unity with a positive measure, and (iii) enjoy the property that the
temporal evolution of any coherent state by the hydrogen atom Hamiltonian
remains a coherent state for all time.
| [
{
"version": "v1",
"created": "Thu, 23 Nov 1995 16:51:19 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Klauder",
"John R.",
""
]
] |
quant-ph/9511034 | Andrei Kirilyuk | Andrei P. Kirilyuk | Causal Wave Mechanics and the Advent of Complexity. I. Dynamic
multivaluedness | 21 pages, PostScript 3.0 from an MS Word file; material is included
into the author's book "Universal Concept of Complexity by the Dynamic
Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the
Ultimate Unification of Knowledge" (Naukova Dumka, Kiev, 1997), 550 p., in
English, see also physics/9806002; new format of presentation and linguistic
changes in the revised version, no changes in the essential contents | Ann. Fond. Louis de Broglie 21 (1996) 455-480 | null | Preprint IMP-95-1 | quant-ph chao-dyn nlin.CD | null | Two major deviations from causality in the existing formulations of quantum
mechanics, related respectively to quantum chaos and indeterminate wave
reduction, are eliminated within the new, universal concept of dynamic
complexity. The analysis involves a new paradigm for description of a system
with interaction, the principle of dynamic multivaluedness (redundance), and
the ensuing concept of the fundamental dynamic uncertainty. It is shown that
both the wave reduction and truly unpredictable (chaotic) behaviour in quantum
systems can be completely and causally understood as a higher sublevel of the
same dynamic complexity that provides the causally complete picture of the
unified wave-particle duality and relativity at its lowest level
(quant-ph/9902015,16). The presentation is divided into five parts. The first
three parts deal with intrinsic randomness in Hamiltonian (isolated) quantum
systems as the basic case of dynamical chaos. In the last two parts a causal
solution to the problem of quantum indeterminacy and wave reduction is
proposed. Part I introduces the method of effective dynamical functions as a
generalisation of the optical potential formalism. The method provides a legal
transformation of the Schroedinger equation revealing the hidden
multivaluedness of interaction process, i. e. its self-consistent, dynamical
splitting into many equally real, but mutually incompatible branches, called
'realisations'. Each realisation incorporates the usual "complete" set of
eigenfunctions and eigenvalues for the entire problem. The method is presented
in detail for the Hamiltonian system with periodic (not small) perturbation,
both in its time-independent and time-dependent versions.
| [
{
"version": "v1",
"created": "Thu, 23 Nov 1995 21:05:35 GMT"
},
{
"version": "v2",
"created": "Thu, 25 Mar 1999 08:50:12 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Kirilyuk",
"Andrei P.",
""
]
] |
quant-ph/9511035 | Andrei Kirilyuk | Andrei P. Kirilyuk | Causal Wave Mechanics and the Advent of Complexity. II. Dynamic
uncertainty in quantum systems and the correspondence principle | 21 pages, PostScript 3.0 from an MS Word file; material is included
into the author's book "Universal Concept of Complexity by the Dynamic
Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the
Ultimate Unification of Knowledge" (Naukova Dumka, Kiev, 1997), 550 p., in
English, see also physics/9806002; new format of presentation and linguistic
changes in the revised version, no changes in the essential contents | Ann. Fond. Louis de Broglie 21 (1996) 455-480 | null | Preprint IMP-95-1 | quant-ph chao-dyn nlin.CD | null | The intrinsic multivaluedness of interaction process, revealed in Part I of
this series of papers, is interpreted as the origin of the true dynamical (in
particular, quantum) chaos. The latter is causally deduced as unceasing series
of transitions, dynamically probabilistic by their origin, between the equally
real, but incompatible 'realisations' (modes of interaction) of a system. The
obtained set of realisations form the causally derived, intrinsically complete
"space of events" providing the crucial extension of the notion of probability
and the method of its first-principle calculation. The fundamental dynamic
uncertainty thus revealed is specified for Hamiltonian quantum systems and
applied to quantum chaos description in periodically perturbed systems. The
ordinary semiclassical transition in our quantum-mechanical results leads to
exact reproduction of the main features of chaotic behaviour of the system
known from classical mechanics, which permits one to "re-establish" the
correspondence principle for chaotic systems (inevitably lost in any their
conventional, single-valued description). The causal dynamical randomness in
the extended quantum mechanics is not restricted, however, to semiclassical
conditions and generically occurs also in essentially quantum regimes, even
though partial "quantum suppression of chaos" does exist and is specified in
our description, as well as other particular types of the quantum (truly)
chaotic behaviour.
| [
{
"version": "v1",
"created": "Thu, 23 Nov 1995 22:07:42 GMT"
},
{
"version": "v2",
"created": "Thu, 25 Mar 1999 09:28:21 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Kirilyuk",
"Andrei P.",
""
]
] |
quant-ph/9511036 | Andrei Kirilyuk | Andrei P. Kirilyuk | Causal Wave Mechanics and the Advent of Complexity. III. Universal
structure of complexity | 29 pages, PostScript 3.0 from an MS Word file; material is included
into the author's book "Universal Concept of Complexity by the Dynamic
Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the
Ultimate Unification of Knowledge" (Naukova Dumka, Kiev, 1997), 550 p., in
English, see also physics/9806002; new format of presentation and linguistic
changes in the revised version, no changes in the essential contents | null | null | Preprint IMP-95-1 | quant-ph chao-dyn nlin.CD | null | The universal dynamic uncertainty, discovered in Parts I and II of this
series of papers for the case of Hamiltonian quantum systems, is further
specified to reveal the hierarchical structure of levels of dynamically
redundant 'realisations' which takes the form of the intrinsically
probabilistic 'fundamental dynamical fractal' of a problem and determines
fractal character of the observed quantities. This intrinsic fractality is
obtained as a natural, causally derived property of dynamic behaviour of a
system with interaction and the corresponding complete solution. Every branch
of the fundamental dynamical fractal of a problem, as well as the probability
of its emergence, can be obtained within the extended nonperturbative analysis
of the main dynamic equation (Schroedinger equation in our case), contrary to
basically restricted imitations of fractality within the canonical,
single-valued approach. The results of the dynamical chaos analysis in
Hamiltonian quantum systems, Parts I-III, are then subjected to discussion and
generalisation. The physical origins of the dynamic uncertainty are analysed
from various points of view. The basic consequences, involving essential
extension of the conventional, unitary (= single-valued) quantum mechanics, are
summarised. Finally, we emphasize the universal character of the emerging
notions of dynamic multivaluedness (or redundance), causal randomness (or
dynamic uncertainty), first-principle probability, (non)integrability, general
solution, and physical complexity applicable to real dynamical systems of any
kind.
| [
{
"version": "v1",
"created": "Thu, 23 Nov 1995 23:06:52 GMT"
},
{
"version": "v2",
"created": "Thu, 25 Mar 1999 10:03:43 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Kirilyuk",
"Andrei P.",
""
]
] |
quant-ph/9511037 | Andrei Kirilyuk | Andrei P. Kirilyuk | Causal Wave Mechanics and the Advent of Complexity. IV. Dynamical origin
of quantum indeterminacy and wave reduction | 40 pages, PostScript 3.0 from an MS Word file; material is included
into the author's book "Universal Concept of Complexity by the Dynamic
Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the
Ultimate Unification of Knowledge" (Naukova Dumka, Kiev, 1997), 550 p., in
English, see also physics/9806002; new format of presentation and linguistic
changes in the revised version, no changes in the essential contents | null | null | Preprint IMP-95-1 | quant-ph chao-dyn nlin.CD | null | The concept of fundamental dynamic uncertainty (multivaluedness) developed in
Parts I-III of this work and used to establish the consistent understanding of
genuine chaos in Hamiltonian systems provides also causal description of the
quantum measurement process. The modified Schroedinger formalism involving
multivalued effective dynamical functions reveals the dynamic origin of quantum
measurement indeterminacy as the intrinsic instability in the compound system
of 'measured object' and (dissipative) 'instrument' with respect to splitting
into spatially localised 'realisations'. As a result, the originally wide
measured wave catastrophically (and really!) "shrinks" around a random
accessible point thus losing all its 'nonlocal properties' with respect to
other points/realisations. The dissipativity of one of the interacting objects
(serving as 'instrument') is reduced to its (arbitrarily small) openness
towards other systems (levels of complexity) and determines the difference
between quantum measurement and quantum chaos, the latter corresponding to an
effectively isolated system of interacting (micro-) objects. We do not use any
assumptions on particular "classical", "macroscopic", "stochastic", etc. nature
of the instrument or environment: physical reduction and indeterminacy
dynamically appear already in interaction between two microscopic (quantum)
deterministic systems, the object and the instrument, possessing just a few
degrees of freedom a part of which, belonging to the instrument, should
correspond to locally starting, arbitrarily weak excitation. This dynamically
indeterminate wave reduction occurs in agreement with the postulates of the
conventional quantum mechanics, including the rule of probabilities, which
transforms them into consequences of the dynamic uncertainty.
| [
{
"version": "v1",
"created": "Thu, 23 Nov 1995 23:55:18 GMT"
},
{
"version": "v2",
"created": "Thu, 25 Mar 1999 14:17:19 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Kirilyuk",
"Andrei P.",
""
]
] |
quant-ph/9511038 | Andrei Kirilyuk | Andrei P. Kirilyuk | Causal Wave Mechanics and the Advent of Complexity. V. Quantum field
mechanics | 13 pages, PostScript 3.0 from an MS Word file; material is included
into the author's book "Universal Concept of Complexity by the Dynamic
Redundance Paradigm: Causal Randomness, Complete Wave Mechanics, and the
Ultimate Unification of Knowledge" (Naukova Dumka, Kiev, 1997), 550 p., in
English, see also physics/9806002; new format of presentation and linguistic
changes in the revised version, no changes in the essential contents | null | null | Preprint IMP-95-1 | quant-ph chao-dyn nlin.CD | null | The physical consequences of the analysis performed in Parts I-IV are
outlined within a scheme of the complete quantum (wave) mechanics called
quantum field mechanics and completing the original ideas of Louis de Broglie
by the dynamic complexity concept. The total picture includes the formally
complete description at the level of the "average" wave function of
Schroedinger type that shows dynamically chaotic behaviour in the form of
either quantum chaos (Parts I-III), or quantum measurement (Part IV) with
causal indeterminacy and wave reduction. This level is only an approximation,
though often sufficient, to a lower (and actually the lowest accessible) level
of complexity containing the causally complete version of the unreduced,
nonlinear "double solution" proposed by Louis de Broglie. The extended 'double
solution with chaos' describes the state of a nonlinear material field and
includes the unstable high-intensity "hump" moving chaotically within the
embedding smooth wave (quant-ph/9902015,16). The involvement of chaos causally
understood within the same concept of dynamic complexity (multivaluedness)
provides, at this lower level, de Broglie's "hidden thermodynamics" now,
however, without the necessity for any real "hidden thermostat". The chaotic
reduction of the "piloting" Schroedinger wave, at the higher sublevel of
complexity, conforms with the detailed 'wandering' of the virtual soliton at
the lower sublevel. The proposed dynamic multivaluedness (redundance) paradigm
serves as the basis for a self-consistent hierarchic picture of the world with
a (high) non-zero complexity (and thus irreducible randomness), where the
complete extension of quantum mechanics is causally interpreted as several
lowest levels of complexity.
| [
{
"version": "v1",
"created": "Fri, 24 Nov 1995 00:32:40 GMT"
},
{
"version": "v2",
"created": "Thu, 25 Mar 1999 22:22:03 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Kirilyuk",
"Andrei P.",
""
]
] |
quant-ph/9511039 | Olavo Leopoldino Da Silva Filho | L.S.F.Olavo | Quantum Mechanics as a Classical Theory IX: The Formation of Operators
and Quantum Phase-Space Densities | Standard LaTex, 15 pages, 4 figures | null | null | UnB-009 | quant-ph | null | In our previous papers we were interested in making a reconstruction of
quantum mechanics according to classical mechanics. In this paper we suspend
this program for a while and turn our attention to a theme in the frontier of
quantum mechanics itself---that is, the formation of operators. We then
investigate all the subtleties involved in forming operators from their
classical counterparts. We show, using the formalism of quantum phase-space
distributions, that our formation method, which is equivalent to Weyl's rule,
gives the correct answer. Since this method implies that eigenstates are not
dispersion-free we argue for modifications in the orthodox view. Many
properties of the quantum phase-space distributions are also investigated and
discussed in the realm of our classical approach. We then strengthen the
conclusions of our previous papers that quantum mechanics is merely an
extremely good approximation of classical statistical mechanics performed upon
the configuration space.
| [
{
"version": "v1",
"created": "Mon, 27 Nov 1995 13:29:26 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Olavo",
"L. S. F.",
""
]
] |
quant-ph/9511040 | Gardo G. Blado | Gardo Garnet Blado (Univ. of Minnesota, Morris) | A Supersymmetric Treatment of a Particle Subjected to a Ring-shaped
Potential | 21 pages; uses LaTEX; to be published at the International Journal of
Quantum Chemistry; hard copy available from the author upon e-mail
([email protected]) requests | International Journal of Quantum Chemistry volume 58, (1996) page
431 | null | null | quant-ph | null | The ring-shaped Hartmann potential $V = \eta \sigma^{2} \epsilon_{0} \left(
\frac{2 a_{0}}{r} - \frac{\eta a_{0}^{2}}{r^{2} sin^{2} \theta} \right)$ was
introduced in quantum chemistry to describe ring-shaped molecules like benzene.
In this article, fundamental concepts of supersymmetric quantum mechanics
(SUSYQM) are discussed.
The energy eigenvalues and (radial) eigenfunctions of the Hartmann potential
are subsequently rederived using the techniques of SUSYQM.
| [
{
"version": "v1",
"created": "Tue, 28 Nov 1995 20:03:02 GMT"
}
] | 2013-12-19T00:00:00 | [
[
"Blado",
"Gardo Garnet",
"",
"Univ. of Minnesota, Morris"
]
] |
quant-ph/9511041 | T. Gruner | T. Gruner, D.-G. Welsch (Theoretisch-Physikalisches Institut,
Friedrich-Schiller-Universitaet Jena, Germany) | Quantum optical input--output relations for dispersive and lossy
multi-slab dielectric plates | 36 pages LaTeX, 7 Postscript figures | null | null | null | quant-ph | null | Using the Green function approach to the problem of quantization of the
phenomenological Maxwell theory, the propagation of quantized radiation through
dispersive and absorptive multilayer dielectric plates is studied.
Input--output relations are derived, with special emphasis on the determination
of the quantum noise generators associated with the absorption of radiation
inside the dielectric matter. The input--output relations are used to express
arbitrary correlation functions of the outgoing field in terms of correlation
functions of the incoming field and those of the noise generators. To
illustrate the theory, the effect of a single-slab plate on the mean
photon-number densities in the frequency domain is discussed in more detail.
| [
{
"version": "v1",
"created": "Wed, 29 Nov 1995 17:08:25 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Gruner",
"T.",
"",
"Theoretisch-Physikalisches Institut,\n Friedrich-Schiller-Universitaet Jena, Germany"
],
[
"Welsch",
"D. -G.",
"",
"Theoretisch-Physikalisches Institut,\n Friedrich-Schiller-Universitaet Jena, Germany"
]
] |
quant-ph/9511042 | Eduardo Mendel | A. Dullweber, E.R. Hilf, E. Mendel | Simple Quantum Mechanical Phenomena and the Feynman Real Time Path
Integral | 6 pp., uuencoded compressed tar file of full paper | null | null | UO-PHYS-THEO 28 Nov. 1995 (Universit\"at Oldenburg) | quant-ph hep-lat hep-th | null | The path integral formalism gives a very illustrative and intuitive
understanding of quantum mechanics but due to its difficult sum over phases one
usually prefers Schr\"odinger's approach. We will show that it is possible to
calculate simple quantum phenomena by performing Feynman's sum over all paths
staying entirely in real time. Once the propagator is obtained it is
particularly easy to get the energy spectrum or the evolution of any
wavefunction.
| [
{
"version": "v1",
"created": "Wed, 29 Nov 1995 19:55:53 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Dullweber",
"A.",
""
],
[
"Hilf",
"E. R.",
""
],
[
"Mendel",
"E.",
""
]
] |
quant-ph/9511043 | Hans-Thomas Elze | Hans-Thomas Elze | On Quantum Field Brownian Motion, Decoherence and Semiquantum Chaos | 5 pages | null | null | Univ. Regensburg TPR-95-29 | quant-ph chao-dyn hep-th nlin.CD nucl-th | null | Entropy production in quantum (field) systems requiring environment-induced
decoherence is described in a Gaussian variational approximation. The new
phenomenon of Semiquantum Chaos is reported. (Presented at the International
Conference on Nonlinear Dynamics, Chaotic and Complex Systems, Zakopane
(Poland), 7-12.11.95.)
| [
{
"version": "v1",
"created": "Thu, 30 Nov 1995 10:58:11 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Elze",
"Hans-Thomas",
""
]
] |
quant-ph/9512001 | Martin Plenio | M. B. Plenio and P. L. Knight (Imperial College London) | Realistic lower bounds for the factorization time of large numbers on a
quantum computer | 10 pages + 3 latex-figures | Phys. Rev. A 53, 2986 (1996) | 10.1103/PhysRevA.53.2986 | null | quant-ph | null | We investigate the time T a quantum computer requires to factorize a given
number dependent on the number of bits L required to represent this number. We
stress the fact that in most cases one has to take into account that the
execution time of a single quantum gate is related to the decoherence time of
the qubits that are involved in the computation. Although exhibited here only
for special systems, this inter-dependence of decoherence and computation time
seems to be a restriction in many current models for quantum computers and
leads to the result that the computation time T scales much stronger with L
than previously expected.
| [
{
"version": "v1",
"created": "Sat, 2 Dec 1995 16:50:35 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Plenio",
"M. B.",
"",
"Imperial College London"
],
[
"Knight",
"P. L.",
"",
"Imperial College London"
]
] |
quant-ph/9512002 | Arkadiusz Jadczyk | A. Jadczyk, G. Kondrat and R. Olkiewicz - (IFT Uni. Wroclaw) | On Uniqueness of the Jump Process in Quantum Measurement Theory | 31 pages, LaTeX, article; e-mail contact [email protected] | J.Phys.A30:1863-1880,1997 | 10.1088/0305-4470/30/6/013 | BiBoS 711/12/95 | quant-ph gr-qc | null | We prove that, contrary to the standard quantum theory of continuous
observation, in the formalism of Event Enhanced Quantum Theory the stochastic
process generating individual sample histories of pairs (observed quantum
system, observing classical apparatus) is unique. This result gives a rigorous
basis to the previous heuristic argument of Blanchard and Jadczyk. Possible
implications of this result are discussed.
| [
{
"version": "v1",
"created": "Mon, 4 Dec 1995 22:40:01 GMT"
},
{
"version": "v2",
"created": "Tue, 5 Dec 1995 15:13:24 GMT"
},
{
"version": "v3",
"created": "Wed, 6 Dec 1995 09:53:37 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Jadczyk",
"A.",
"",
"IFT Uni. Wroclaw"
],
[
"Kondrat",
"G.",
"",
"IFT Uni. Wroclaw"
],
[
"-",
"R. Olkiewicz",
"",
"IFT Uni. Wroclaw"
]
] |
quant-ph/9512003 | Asher Peres | Asher Peres | Bell Inequalities with Postselection | 7 pages LaTeX | in "Potentiality, Entanglement and Passion-at-a-Distance" ed. by
R. S. Cohen et al. (Kluwer, 1997) pp. 191-196 | null | null | quant-ph | null | Experimental tests of Bell inequalities ought to take into account all
detection events. If the latter are postselected, and only some of these events
are included in the statistical analysis, a Bell inequality may be violated,
even by purely classical correlations. The paradoxical properties of Werner
states, recently pointed out by Popescu, can be explained as the result of a
postselection of the detection events, or, equivalently, as due to the
preparation of a new state by means of a nonlocal process.
| [
{
"version": "v1",
"created": "Tue, 5 Dec 1995 10:07:08 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Peres",
"Asher",
""
]
] |
quant-ph/9512004 | George Svetlichny | George Svetlichny (Departamento de Matematica, Pontificia Unversidade
Catolica, Rio de Janeiro) | Quantum Evoluton and Space-time Structure | 10 pages, LaTeX. A resumed version to come out in the proceedings of
the Internationa Symposium "Nonlinear, Dissipative, Irreversible Quantum
Systems - Foundations, Examples and Experiments" August 15-19, 1994,
Clausthal, Germany | null | null | null | quant-ph gr-qc hep-th | null | The hilbert-space structure of quantum mechanics is related to the causal
structure of space-time. The usual measurement hypotheses apparently preclude
nonlinear or stochastic quantum evolution. By admitting a difference in the
calculus of joint probabilities of events in space-time according to whether
the separation is space-like or time-like, a relativistic nonlinear or
stochastic quantum theory may be possible.
| [
{
"version": "v1",
"created": "Tue, 5 Dec 1995 19:42:49 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Svetlichny",
"George",
"",
"Departamento de Matematica, Pontificia Unversidade\n Catolica, Rio de Janeiro"
]
] |
quant-ph/9512005 | Anna Jadczyk | Z. Haba | Coherent states of quantum non-linear systems | 7 pages | null | 10.1142/S0217984995001832 | ITP UWr 900/95 | quant-ph | null | Quantum dynamics of integrable systems is discussed. Localized wave packets
generalizing the conventional coherent states of minimal uncertainty are
constructed. The wave packet moves along a certain trajectory and does not
change its shape for times of order $\frac{1}{\hbar}$.
| [
{
"version": "v1",
"created": "Wed, 6 Dec 1995 10:49:42 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Haba",
"Z.",
""
]
] |
quant-ph/9512006 | null | M. Daoud and M. Kibler | Statistical Mechanics of $qp$-Bosons in $D$ Dimensions | 12 pages, revised Tex File (some fonts were changed) | Phys.Lett. A206 (1995) 13-17 | 10.1016/0375-9601(95)00580-V | null | quant-ph cond-mat | null | This paper is concerned with statistical properties of a gas of $qp$-bosons
without interaction. Some thermodynamical functions for such a system in $D$
dimensions are derived. Bose-Einstein condensation is discussed in terms of the
parameters $q$ and $p$. Finally, the second-order correlation function of a gas
of photons is calculated.
| [
{
"version": "v1",
"created": "Wed, 6 Dec 1995 16:19:03 GMT"
},
{
"version": "v2",
"created": "Tue, 2 Jan 1996 16:08:53 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Daoud",
"M.",
""
],
[
"Kibler",
"M.",
""
]
] |
quant-ph/9512007 | null | H. M. Fran\c{c}a (Universidade de S\~ao Paulo), A. Maia Jr.
(Universidade de Campinas) and C. P. Malta (Universidade de S\~ao Paulo) | Maxwell Electromagnetic Theory, Planck's Radiation Law and Bose-Einstein
Statistics | 19 pages, plain Latex | null | 10.1007/BF02061403 | null | quant-ph | null | We give an example in which it is possible to understand quantum statistics
using classical concepts. This is done by studying the interaction of charged
matter oscillators with the thermal and zeropoint electromagnetic fields
characteristic of quantum electrodynamics and classical stochastic
electrodynamics. Planck's formula for the spectral distribution and the
elements of energy $ \hbar\omega $ are interpreted without resorting to
discontinuities. We also show the aspects in which our model calculation
complement other derivations of blackbody radiation spectrum without quantum
assumptions.
| [
{
"version": "v1",
"created": "Wed, 6 Dec 1995 18:00:00 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"França",
"H. M.",
"",
"Universidade de São Paulo"
],
[
"Maia",
"A.",
"Jr.",
"Universidade de Campinas"
],
[
"Malta",
"C. P.",
"",
"Universidade de São Paulo"
]
] |
quant-ph/9512008 | Tommaso Calarco | R. Onofrio (University of Padua and INFN, Padua), T. Calarco
(University of Ferrara and INFN, Ferrara) | Testing temporal Bell inequalities through repeated measurements in
rf-SQUIDs | 12 pages, 4 Postscript figures in an uuencoded file figures.uu, uses
revtex.sty | Phys. Lett. A 208 (1995) 40-46 | 10.1016/0375-9601(95)00762-R | null | quant-ph | null | Temporal Bell-like inequalities are derived taking into account the influence
of the measurement apparatus on the observed magnetic flux in a rf-SQUID.
Quantum measurement theory is shown to predict violations of these inequalities
only when the flux states corresponding to opposite current senses are not
distinguishable. Thus rf-SQUIDs cannot help to discriminate realism and quantum
mechanics at the macroscopic level.
| [
{
"version": "v1",
"created": "Wed, 6 Dec 1995 19:20:02 GMT"
},
{
"version": "v2",
"created": "Thu, 7 Dec 1995 14:06:44 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Onofrio",
"R.",
"",
"University of Padua and INFN, Padua"
],
[
"Calarco",
"T.",
"",
"University of Ferrara and INFN, Ferrara"
]
] |
quant-ph/9512009 | Michael Nielsen | M. A. Nielsen (University of New Mexico) | Chaos in the Quantum Measurement Record | 4 pages + 2 figures, LaTeX using REVTEX | null | null | null | quant-ph | null | We investigate measures of chaos in the measurement record of a quantum
system which is being observed. Such measures are attractive because they can
be directly connected to experiment. Two measures of chaos in the measurement
record are defined and investigated numerically for the case of a quantum
kicked top. A smooth transition between chaotic and regular behavior is found.
| [
{
"version": "v1",
"created": "Sat, 9 Dec 1995 03:19:58 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Nielsen",
"M. A.",
"",
"University of New Mexico"
]
] |
quant-ph/9512010 | Default Account | V.P. Karassiov | Polynomial Lie Algebras $sl_{pd}(2)$ in Action: Smooth $sl(2)$ Mappings
and Approximations | 8 pages, LATEX | null | null | FIAN-OD-95-12 | quant-ph | null | We examine applications of polynomial Lie algebras $sl_{pd}(2)$ to solve
physical tasks in $G_{inv}$-invariant models of coupled subsystems in quantum
physics. A general operator formalism is given to solve spectral problems using
expansions of generalized coherent states, eigenfunctions and other physically
important quantities by power series in the $sl_{pd}(2)$ coset generators
$V_{\pm}$. We also discuss some mappings and approximations related to the
familiar $sl(2)$ algebra formalism. On this way a new closed analytical
expression is found for energy spectra which coincides with exact solutions in
certain cases and, in general, manifests an availability of incommensurable
eigenfrequencies related to a nearly chaotic dynamics of systems under study.
| [
{
"version": "v1",
"created": "Sat, 9 Dec 1995 13:43:51 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Karassiov",
"V. P.",
""
]
] |
quant-ph/9512011 | Oleg Shvedov | V.P.Maslov, O.Yu.Shvedov | On the Problem of Chaos Conservation in Quantum Physics | 56 pages, LaTeX, no figures, to be submitted to Russian Journal of
Mathematical Physics | null | null | null | quant-ph hep-th math.QA q-alg | null | We develop a new method of constructing a large N asymptotic series in powers
of $N^{-1/2}$ for the function of N arguments which is a solution to the Cauchy
problem for the equation of a special type. Many-particle Wigner,
Schr\"{o}dinger and Liouville equations for a system of a large number of
particles are of this type, when the external potential is of order O(1), while
the coefficient of the particle interaction potential is 1/N; the potentials
can be arbitrary smooth bounded functions. We apply this method to equations
for N-particle states corresponding to the N-th tensor power of an abstract
Hamiltonian algebra of observables. In particular, we show for the case of
multiparticle Schr\"{o}dinger-like equations that the property of N-particle
wave function to be approximately equal at large N to the product of
one-particle wave functions does not conserve under time evolution, while the
same property for the correlation functions of the finite order is known to
conserve(such hypothesis being the quantum analog of the chaos conservation
hypothesis put forward by M.Kac in 1956 was proved by the analysis of the
BBGKY-like hierarchy of equations). In order to find a leading asymptotics for
the N-particle wave function, one should use not only the solution to the well-
known Hartree equation being derivable from the BBGKY approach but also the
solution to another (Riccati-type) equation presented in this paper. We also
consider another interesting case when one adds to the N-particle system under
consideration one more particle interacting with the system with the
coefficient of the interaction potential of order O(1).It happens that in this
case one should investigate not a single Hartree-like equation but a set of
such equations, and the chaos will not conserve even for the correlators.
| [
{
"version": "v1",
"created": "Sat, 9 Dec 1995 16:07:23 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Maslov",
"V. P.",
""
],
[
"Shvedov",
"O. Yu.",
""
]
] |
quant-ph/9512012 | Dirk Sondermann | Almut Beige and Gerhard C. Hegerfeldt | Projection Postulate and Atomic Quantum Zeno Effect | 25 pages, LaTeX, no figures; to appear in Phys. Rev. A | Phys.Rev.A53:53-65,1996 | 10.1103/PhysRevA.53.53 | null | quant-ph | null | The projection postulate has been used to predict a slow-down of the time
evolution of the state of a system under rapidly repeated measurements, and
ultimately a freezing of the state. To test this so-called quantum Zeno effect
an experiment was performed by Itano et al. (Phys. Rev. A 41, 2295 (1990)) in
which an atomic-level measurement was realized by means of a short laser pulse.
The relevance of the results has given rise to controversies in the literature.
In particular the projection postulate and its applicability in this experiment
have been cast into doubt. In this paper we show analytically that for a wide
range of parameters such a short laser pulse acts as an effective level
measurement to which the usual projection postulate applies with high accuracy.
The corrections to the ideal reductions and their accumulation over n pulses
are calculated. Our conclusion is that the projection postulate is an excellent
pragmatic tool for a quick and simple understanding of the slow-down of time
evolution in experiments of this type. However, corrections have to be
included, and an actual freezing does not seem possible because of the finite
duration of measurements.
| [
{
"version": "v1",
"created": "Mon, 11 Dec 1995 14:21:20 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Beige",
"Almut",
""
],
[
"Hegerfeldt",
"Gerhard C.",
""
]
] |
quant-ph/9512013 | Todd A. Brun | Todd A. Brun (Physics, QMW, University of London) Nicolas Gisin (Group
of Applied Physics, University of Geneva) | Quantum State Diffusion and Time Correlation Functions | 16 pages standard LaTeX + 1 figure (uuencoded postscript) Numerous
minor revisions and clarifications. To appear in J. Mod. Optics | J.Mod.Opt. 43 (1996) 2289 | 10.1080/09500349608232887 | QMW-PH-95-47 | quant-ph atom-ph | null | In computing the spectra of quantum mechanical systems one encounters the
Fourier transforms of time correlation functions, as given by the quantum
regression theorem for systems described by master equations. Quantum state
diffusion (QSD) gives a useful method of solving these problems by unraveling
the master equation into stochastic trajectories; but there is no generally
accepted definition of a time correlation function for a single QSD trajectory.
In this paper we show how QSD can be used to calculate these spectra directly;
by formally solving the equations which arise, we arrive at a natural
definition for a two-time correlation function in QSD, which depends explicitly
on both the stochastic noise of the particular trajectory and the time of
measurement, and which agrees in the mean with the ensemble average definition
of correlation functions.
| [
{
"version": "v1",
"created": "Mon, 11 Dec 1995 20:30:00 GMT"
},
{
"version": "v2",
"created": "Tue, 12 Dec 1995 15:22:00 GMT"
},
{
"version": "v3",
"created": "Tue, 23 Apr 1996 18:41:30 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Brun",
"Todd A.",
"",
"Physics, QMW, University of London"
],
[
"Gisin",
"Nicolas",
"",
"Group\n of Applied Physics, University of Geneva"
]
] |
quant-ph/9512014 | Piotr Kielanowski | A. Bohm (1), P. Kielanowski (2) ((1) Department of Physics, University
of Texas, Austin, (2) Institute of Theoretical Physics, Warsaw University,
Poland and Departamento de Fisica, CINVESTAV del IPN, Mexico) | Time-Reversal and Irreversibility | 27 pages. The paper consists of the LaTeX file and two PostScript
files that contain one figure and one specially formatted formula. Requires
epsf package. The complete version of the paper can be printed only in
PostScript | Acta Phys.Polon.B27:2295-2318,1996 | null | null | quant-ph hep-ph | null | The time reversal and irreversibility in conventional quantum mechanics are
compared with those of the rigged Hilbert space quantum mechanics. We discuss
the time evolution of Gamow and Gamow-Jordan vectors and show that the rigged
Hilbert space case admits a new kind of irreversibility which does not appear
in the conventional case. The origin of this irreversibility can be traced back
to different initial-boundary conditions for the states and observables. It is
shown that this irreversibility does not contradict the experimentally tested
consequences of the time-reversal invariance of the conventional case but
instead we have to introduce a new time reversal operator.
| [
{
"version": "v1",
"created": "Tue, 12 Dec 1995 00:19:57 GMT"
}
] | 2011-04-15T00:00:00 | [
[
"Bohm",
"A.",
""
],
[
"Kielanowski",
"P.",
""
]
] |
quant-ph/9512015 | null | F.J.Weiper, J. Ankerhold and H.Grabert | Semiclassical Density Matrix Near the Top of a Barrier | 25 pages, 7 figures, in press (Physica, A223, 193 (1996)) | Physica A223 (1996) 193 | 10.1016/0378-4371(95)00297-9 | null | quant-ph | null | Employing the path integral approach, we calculate the semiclassical
equilibrium density matrix of a particle moving in a nonlinear potential field
for coordinates near the top of a potential barrier. As the temperature is
decreased, near a critical temperature $T_c$ the harmonic approximation for the
fluctuation path integral fails. This is due to a caustic arising at a
bifurcation point of the classical paths. We provide a selfconsistent scheme to
treat the large quantum fluctuations leading to a nonlinear fluctuation
potential. The procedure differs from methods used near caustics of the real
time propagator. The semiclassical density matrix is determined explicitly for
the case of asymmetric barriers from high temperatures down to temperatures
somewhat below $T_c$.
Pacs: 03.65.Sq, 05.30.-d
| [
{
"version": "v1",
"created": "Tue, 12 Dec 1995 16:12:37 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Weiper",
"F. J.",
""
],
[
"Ankerhold",
"J.",
""
],
[
"Grabert",
"H.",
""
]
] |
quant-ph/9512016 | M. Daumer | M. Daumer (LMU Munich), D. Duerr (LMU Munich), S. Goldstein (Rutgers),
N. Zanghi (Genova) | On the quantum probability flux through surfaces | 15 pages, 3 figures, revised and more detailed version, to be
published in Journal of Statistical Physics, August 97 | null | null | null | quant-ph | null | We remark that the often ignored quantum probability current is fundamental
for a genuine understanding of scattering phenomena and, in particular, for the
statistics of the time and position of the first exit of a quantum particle
from a given region, which may be simply expressed in terms of the current.
This simple formula for these statistics does not appear as such in the
literature. It is proposed that the formula, which is very different from the
usual quantum mechanical measurement formulas, be verified experimentally. A
full understanding of the quantum current and the associated formula is
provided by Bohmian mechanics.
| [
{
"version": "v1",
"created": "Tue, 12 Dec 1995 16:30:39 GMT"
},
{
"version": "v2",
"created": "Tue, 18 Feb 1997 15:00:02 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Daumer",
"M.",
"",
"LMU Munich"
],
[
"Duerr",
"D.",
"",
"LMU Munich"
],
[
"Goldstein",
"S.",
"",
"Rutgers"
],
[
"Zanghi",
"N.",
"",
"Genova"
]
] |
quant-ph/9512017 | null | A. V. Shtoff, Yu. Yu. Dmitriev, S. I. Gusarov | Dynamic Polarization of the LiH Molecule in Strong Light Field in
Anomalous-Dispersion Domain | 2 pages, latex, no figures | null | null | ICIAM95 | quant-ph | null | A new method is proposed to calculate the polarization vector of a molecule
in a monochromatic external field in the anomalous-despersion domain. The
method takes into account the instantaneous switching of the field. A simple
modification of the method allows one to consider a more general switching
procedure. As an illustration of the method Fourier components of the
polarization vector of the LiH molecule in the anomalous -dispersion domain is
calculated.
| [
{
"version": "v1",
"created": "Wed, 13 Dec 1995 11:53:09 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Shtoff",
"A. V.",
""
],
[
"Dmitriev",
"Yu. Yu.",
""
],
[
"Gusarov",
"S. I.",
""
]
] |
quant-ph/9512018 | Dr A. K. Kapoor | R.S. Bhalla, A.K. Kapoor and P.K. Panigrahi | Quantum Hamilton-Jacobi formalism and the bound state spectra | 20 pages, latex, 5 Figures available on request. This paper arrived
incomplete at the archive, and is now repaired. | null | null | null | quant-ph | null | It is well known in classical mechanics that, the frequencies of a periodic
system can be obtained rather easily through the action variable, without
completely solving the equation of motion. The equivalent quantum action
variable appearing in the quantum Hamilton-Jacobi formalism, can, analogously
provide the energy eigenvalues of a bound state problem, without having to
solve the corresponding Schr\"odinger equation explicitly. This elegant and
useful method is elucidated here in the context of some known and not so well
known solvable potentials. It is also shown, how this method provides an
understanding, as to why approximate quantization schemes such as ordinary and
supersymmetric WKB, can give exact answers for certain potentials.
| [
{
"version": "v1",
"created": "Thu, 14 Dec 1995 10:09:45 GMT"
},
{
"version": "v2",
"created": "Wed, 17 Jan 1996 12:05:35 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Bhalla",
"R. S.",
""
],
[
"Kapoor",
"A. K.",
""
],
[
"Panigrahi",
"P. K.",
""
]
] |
quant-ph/9512019 | Dr A. K. Kapoor | R.S. Bhalla, A.K. Kapoor and P.K. Panigrahi | On Exactness Of The Supersymmetric WKB Approximation Scheme | 11 pages, latex, 1 figure available on request | null | 10.1103/PhysRevA.54.951 | null | quant-ph | null | Exactness of the lowest order supersymmetric WKB (SWKB) quantization
condition $\int^{x_2}_{x_1} \sqrt{E-\omega^2(x)} dx = n \hbar \pi$, for certain
potentials, is examined, using complex integration technique. Comparison of the
above scheme with a similar, but {\it exact} quantization condition, $\oint_c
p(x,E) dx = 2\pi n \hbar$, originating from the quantum Hamilton-Jacobi
formalism reveals that, the locations and the residues of the poles that
contribute to these integrals match identically, for both of these cases. As
these poles completely determine the eigenvalues in these two cases, the
exactness of the SWKB for these potentials is accounted for. Three non-exact
cases are also analysed; the origin of this non-exactness is shown to be due
the presence of additional singularities in $\sqrt{E-\omega^2(x)}$, like branch
cuts in the $x-$plane.
| [
{
"version": "v1",
"created": "Thu, 14 Dec 1995 10:16:16 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Bhalla",
"R. S.",
""
],
[
"Kapoor",
"A. K.",
""
],
[
"Panigrahi",
"P. K.",
""
]
] |
quant-ph/9512020 | Arvind | Arvind(IISc Bangalore India) N. Mukunda(IISc Bangalore India) and R.
Simon(IMSC Madras India) | Characterisations of Classical and Non-classical states of Quantised
Radiation | 16 pages, Revtex, One postscript Figure compressed and uuencoded
Replaced, minor changes in eq 4.30 and 4.32. no effect on the results | J.Phys.A31:565-583,1998 | 10.1088/0305-4470/31/2/016 | null | quant-ph | null | A new operator based condition for distinguishing classical from
non-classical states of quantised radiation is developed. It exploits the fact
that the normal ordering rule of correspondence to go from classical to quantum
dynamical variables does not in general maintain positivity. It is shown that
the approach naturally leads to distinguishing several layers of increasing
nonclassicality, with more layers as the number of modes increases. A
generalisation of the notion of subpoissonian statistics for two-mode radiation
fields is achieved by analysing completely all correlations and fluctuations in
quadratic combinations of mode annihilation and creation operators conserving
the total photon number. This generalisation is nontrivial and intrinsically
two-mode as it goes beyond all possible single mode projections of the two-mode
field. The nonclassicality of pair coherent states, squeezed vacuum and
squeezed thermal states is analysed and contrasted with one another, comparing
the generalised subpoissonian statistics with extant signatures of nonclassical
behaviour.
| [
{
"version": "v1",
"created": "Fri, 15 Dec 1995 20:29:37 GMT"
},
{
"version": "v2",
"created": "Thu, 21 Dec 1995 07:15:25 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Arvind",
"",
"",
"IISc Bangalore India"
],
[
"Mukunda",
"N.",
"",
"IISc Bangalore India"
],
[
"Simon",
"R.",
"",
"IMSC Madras India"
]
] |
quant-ph/9512021 | null | N.E. Mavromatos and D.V. Nanopoulos | A Non-critical String (Liouville) Approach to Brain Microtubules: State
Vector reduction, Memory coding and Capacity | 70 pages Latex, 4 figures (not included), minor corrections, no
effect on conclusions | null | null | ACT-19/95, CTP-TAMU-55/95, OUTP-95-52P | quant-ph hep-th | null | Microtubule (MT) networks, subneural paracrystalline cytosceletal structures,
seem to play a fundamental role in the neurons. We cast here the complicated MT
dynamics in the form of a $1+1$-dimensional non-critical string theory, thus
enabling us to provide a consistent quantum treatment of MTs, including
enviromental {\em friction} effects. Quantum space-time effects, as described
by non-critical string theory, trigger then an {\em organized collapse} of the
coherent states down to a specific or {\em conscious state}. The whole process
we estimate to take ${\cal O}(1\,{\rm sec})$. The {\em microscopic arrow of
time}, endemic in non-critical string theory, and apparent here in the
self-collapse process, provides a satisfactory and simple resolution to the
age-old problem of how the, central to our feelings of awareness, sensation of
the progression of time is generated. In addition, the complete integrability
of the stringy model for MT we advocate in this work proves sufficient in
providing a satisfactory solution to memory coding and capacity. Such features
might turn out to be important for a model of the brain as a quantum computer.
| [
{
"version": "v1",
"created": "Mon, 18 Dec 1995 19:07:19 GMT"
},
{
"version": "v2",
"created": "Tue, 9 Jan 1996 21:06:51 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Mavromatos",
"N. E.",
""
],
[
"Nanopoulos",
"D. V.",
""
]
] |
quant-ph/9512022 | Nicolas Cerf | N. J. Cerf, C. Adami (California Institute of Technology) | Negative entropy and information in quantum mechanics | 4 pages RevTeX, 2 figures. Expanded discussion of quantum
teleportation and superdense coding, and minor corrections. To appear in
Phys. Rev. Lett | Phys.Rev.Lett. 79 (1997) 5194 | 10.1103/PhysRevLett.79.5194 | KRL MAP-191 | quant-ph atom-ph | null | A framework for a quantum mechanical information theory is introduced that is
based entirely on density operators, and gives rise to a unified description of
classical correlation and quantum entanglement. Unlike in classical (Shannon)
information theory, quantum (von Neumann) conditional entropies can be negative
when considering quantum entangled systems, a fact related to quantum
non-separability. The possibility that negative (virtual) information can be
carried by entangled particles suggests a consistent interpretation of quantum
informational processes.
| [
{
"version": "v1",
"created": "Tue, 19 Dec 1995 19:07:01 GMT"
},
{
"version": "v2",
"created": "Wed, 20 Dec 1995 22:06:19 GMT"
},
{
"version": "v3",
"created": "Thu, 30 Oct 1997 01:03:12 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Cerf",
"N. J.",
"",
"California Institute of Technology"
],
[
"Adami",
"C.",
"",
"California Institute of Technology"
]
] |
quant-ph/9512023 | Christopher Fuchs | Christopher A. Fuchs and Asher Peres | Quantum State Disturbance vs. Information Gain: Uncertainty Relations
for Quantum Information | 20 pages, standard LaTeX, four png figures (also available from the
authors: [email protected] and [email protected]) | null | 10.1103/PhysRevA.53.2038 | null | quant-ph | null | When an observer wants to identify a quantum state, which is known to be one
of a given set of non-orthogonal states, the act of observation causes a
disturbance to that state. We investigate the tradeoff between the information
gain and that disturbance. This issue has important applications in quantum
cryptography. The optimal detection method, for a given tolerated disturbance,
is explicitly found in the case of two equiprobable non-orthogonal pure states.
| [
{
"version": "v1",
"created": "Fri, 22 Dec 1995 04:04:49 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Fuchs",
"Christopher A.",
""
],
[
"Peres",
"Asher",
""
]
] |
quant-ph/9512024 | Oliver Rudolph | Oliver Rudolph | Consistent Histories and Operational Quantum Physics | 48 pages, uses amssymb.sty, no figures LaTeX 2.09 version replaced by
LaTeX2e version, minor changes | Int. J. Theor. Phys. 35 (1996) 1581 | 10.1007/BF02302260 | DESY 95-238 | quant-ph | null | In this work a generalization of the consistent histories approach to quantum
mechanics is presented. We first critically review the consistent histories
approach to nonrelativistic quantum mechanics in a mathematically rigorous way
and give some general comments about it. We investigate to what extent the
consistent histories scheme is compatible with the results of the operational
formulation of quantum mechanics. According to the operational approach
nonrelativistic quantum mechanics is most generally formulated in terms of
effects, states and operations. We formulate a generalized consistent histories
theory using the concepts and the terminology which have proven useful in the
operational formulation of quantum mechanics. The logical rule of the logical
interpretation of quantum mechanics is generalized to the present context. The
algebraic structure of the generalized theory is studied in detail.
| [
{
"version": "v1",
"created": "Fri, 22 Dec 1995 13:41:03 GMT"
},
{
"version": "v2",
"created": "Fri, 7 Jun 1996 11:46:34 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Rudolph",
"Oliver",
""
]
] |
quant-ph/9512025 | null | Andreas Zoupas | Phase Space Localization and Approach to Thermal Equilibrium for a Class
of Open Systems | 10 pages, Latex | null | 10.1016/0375-9601(96)00414-8 | Imperial/TP/95-96/15 | quant-ph | null | We analyse the evolution of a quantum oscillator in a finite temperature
environment using the quantum state diffusion (QSD) picture. Following a
treatment similar to that of reference [7] we identify stationary solutions of
the corresponding It\^o equation. We prove their global stability and compute
typical time scales characterizing the localization process. The recovery of
the density matrix in approximately diagonal form enables us to verify the
approach to thermal equilibrium in the long time limit and we comment on the
connection between QSD and the decoherent histories approach.
| [
{
"version": "v1",
"created": "Fri, 22 Dec 1995 15:31:54 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Zoupas",
"Andreas",
""
]
] |
quant-ph/9512026 | Mohammad Ardehali | M. Ardehali | A simple quantum oblivious transfer protocol | 11 pages, LaTeX file, no figures. The structure of the OT protocol is
the same as before: Alice sends two particles to Bob, with the spin of the
particles along the horizontal or vertical axis. The proof of the security of
the protocol has been made more clear. Some new references have been added | null | null | null | quant-ph | null | A simple and efficient protocol for quantum oblivious transfer is proposed.
The protocol can easily be implemented with present technology and is secure
against cheaters with unlimited computing power provided the receiver does not
have the technology to store the particles for an arbitrarily long period of
time. The proposed protocol is a significant improvement over the previous
protocols. Unlike the protocol of Cr\'epeau and Kilian which is secure if only
if the spin of the particle is measured along the $x$ or the $y$ axis, the
present protocol is perfectly secure no matter along which axes the spin of the
particles are measured, and unlike the protocol of Bennett et al. which
requires tens of thousand of particles, the present protocol requires only two
particles.
| [
{
"version": "v1",
"created": "Tue, 26 Dec 1995 05:59:07 GMT"
},
{
"version": "v2",
"created": "Thu, 25 Jun 1998 09:23:26 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Ardehali",
"M.",
""
]
] |
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