Create app.py

app.py

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+import streamlit as st
+
+# Define course outlines
+phy504 = """
+# PHY 504: Classical Mechanics (Advanced Mechanics)
+This course focuses on a detailed and sophisticated approach to classical mechanics, emphasizing mathematical methods and applications to physical systems.
+
+## Outline:
+1. **Lagrangian Mechanics**
+   - Principle of least action
+   - Euler-Lagrange equations
+   - Constraints and generalized coordinates
+2. **Variational Principles**
+   - Hamilton's principle
+   - Symmetries and Noether’s theorem
+3. **Hamiltonian Mechanics**
+   - Hamilton’s equations of motion
+   - Canonical transformations
+4. **Phase Space and Liouville's Theorem**
+   - Phase space flow and conservation
+5. **Central Force Problems**
+   - Orbital mechanics
+   - Scattering in central forces
+6. **Small Oscillations**
+   - Normal modes
+   - Perturbation methods
+7. **Rigid Body Dynamics**
+   - Euler angles and rotational motion
+   - Inertia tensors and principal axes
+   - Gyroscopic motion
+8. **Nonlinear Dynamics and Chaos**
+   - Bifurcation theory
+   - Lyapunov exponents
+   - Poincaré maps
+9. **Relativistic Mechanics**
+   - Lorentz transformations and four-vectors
+   - Action for relativistic particles
+"""
+
+phy611 = """
+# PHY 611: Quantum Mechanics I
+This course provides a rigorous foundation in quantum theory, with a focus on the mathematical formalism and physical interpretation.
+
+## Outline:
+1. **Mathematical Foundations of Quantum Mechanics**
+   - Hilbert spaces and operators
+   - Eigenvalue problems
+   - Dirac notation
+2. **Postulates of Quantum Mechanics**
+   - State vectors and observables
+   - Measurement postulates
+   - Time evolution of quantum states
+3. **Harmonic Oscillator and Operator Methods**
+   - Creation and annihilation operators
+   - Ladder operator techniques
+   - Coherent states
+4. **Angular Momentum**
+   - Commutation relations
+   - Spin and orbital angular momentum
+   - Addition of angular momenta
+5. **Symmetry in Quantum Mechanics**
+   - Group theory applications
+   - Parity, time reversal, and charge conjugation
+   - Conservation laws and symmetries
+6. **Approximation Methods**
+   - Time-independent perturbation theory
+   - Variational methods
+   - WKB approximation
+7. **Quantum Systems in External Fields**
+   - Magnetic fields and the Aharonov-Bohm effect
+   - Stark and Zeeman effects
+8. **Scattering Theory**
+   - Partial wave analysis
+   - Born approximation
+   - Cross sections and scattering amplitudes
+9. **Path Integral Formulation of Quantum Mechanics**
+   - Feynman path integrals
+   - Applications to quantum field theory
+"""
+
+phy613 = """
+# PHY 613: Statistical Physics
+This course covers the statistical description of systems with many degrees of freedom, focusing on both equilibrium and non-equilibrium phenomena.
+
+## Outline:
+1. **Review of Thermodynamics**
+   - Laws of thermodynamics
+   - Thermodynamic potentials
+   - Phase transitions and critical phenomena
+2. **Microcanonical, Canonical, and Grand Canonical Ensembles**
+   - Partition functions and thermodynamic properties
+   - Connections between ensembles
+   - Quantum statistics: Bose-Einstein and Fermi-Dirac distributions
+3. **Statistical Ensembles and Entropy**
+   - Entropy as a measure of disorder
+   - Gibbs entropy formula
+   - Boltzmann distribution
+4. **Ideal and Interacting Gases**
+   - Classical ideal gas
+   - Quantum ideal gases (Bose and Fermi gases)
+   - Virial expansion and interactions
+5. **Phase Transitions**
+   - Landau theory
+   - Critical exponents and universality
+   - Renormalization group theory
+6. **Non-equilibrium Statistical Mechanics**
+   - Boltzmann equation
+   - Langevin and Fokker-Planck equations
+   - Brownian motion
+7. **Fluctuations and Response Theory**
+   - Fluctuation-dissipation theorem
+   - Linear response theory
+   - Kubo formalism
+"""
+
+phy614 = """
+# PHY 614: Electromagnetism I (Electromagnetic Theory I)
+This course covers the fundamentals of electromagnetic theory, with a deep dive into Maxwell's equations and their applications.
+
+## Outline:
+1. **Maxwell’s Equations**
+   - Integral and differential forms
+   - Boundary conditions
+   - Continuity equation and gauge invariance
+2. **Electrostatics**
+   - Poisson’s and Laplace’s equations
+   - Green’s functions and boundary value problems
+   - Multipole expansions
+3. **Magnetostatics**
+   - Biot-Savart law
+   - Vector potentials
+   - Magnetic dipoles and multipoles
+4. **Electromagnetic Waves**
+   - Plane waves in vacuum and matter
+   - Reflection, refraction, and polarization
+   - Waveguides and cavities
+5. **Radiation from Moving Charges**
+   - Lienard-Wiechert potentials
+   - Dipole and quadrupole radiation
+   - Synchrotron and bremsstrahlung radiation
+6. **Special Relativity and Electromagnetism**
+   - Lorentz transformations
+   - Covariant formulation of electromagnetism
+   - Relativistic kinematics and dynamics
+7. **Electromagnetic Field in Matter**
+   - Polarization and magnetization
+   - Boundary conditions at interfaces
+   - Electromagnetic waves in dispersive and conducting media
+"""
+
+phy615 = """
+# PHY 615: Quantum Mechanics II
+This advanced course in quantum mechanics delves into more complex quantum systems, focusing on applications and advanced techniques.
+
+## Outline:
+1. **Review of Quantum Mechanics I**
+   - Key principles and formalism
+   - Advanced applications of harmonic oscillator
+2. **Advanced Scattering Theory**
+   - S-matrix and optical theorem
+   - Scattering in three dimensions
+   - Coulomb scattering and partial waves
+3. **Relativistic Quantum Mechanics**
+   - Klein-Gordon and Dirac equations
+   - Spin-1/2 particles and relativistic wave equations
+   - Zitterbewegung and antiparticles
+4. **Quantum Field Theory Basics**
+   - Quantization of fields
+   - Path integrals in field theory
+   - Interaction picture and perturbation theory
+5. **Quantum Electrodynamics (QED)**
+   - Feynman diagrams and rules
+   - Renormalization and gauge symmetry
+   - Applications to atomic physics
+6. **Symmetry and Group Theory in Quantum Mechanics**
+   - Lie groups and Lie algebras
+   - Representations of symmetry groups
+   - Wigner-Eckart theorem and selection rules
+7. **Many-Body Quantum Mechanics**
+   - Second quantization formalism
+   - Hartree-Fock method
+   - Bose-Einstein condensation and fermionic systems
+"""
+
+phy632 = """
+# PHY 632: Advanced Topics in Theoretical Physics
+This course explores contemporary and cutting-edge topics in theoretical physics, often including current research trends and advanced mathematical methods.
+
+## Outline:
+1. **Quantum Field Theory II**
+   - Renormalization group theory
+   - Gauge theories and spontaneous symmetry breaking
+   - Anomalies and the Standard Model
+2. **Supersymmetry**
+   - Supersymmetric quantum mechanics
+   - Superfields and superspace
+   - Applications to particle physics and string theory
+3. **String Theory Basics**
+   - Bosonic strings and superstrings
+   - D-branes and dualities
+   - Holography and AdS/CFT correspondence
+4. **Advanced General Relativity**
+   - Gravitational waves
+   - Black hole thermodynamics
+   - Cosmology and inflation
+5. **Topological Quantum Field Theory**
+   - Chern-Simons theory
+   - Topological insulators and anyons
+   - Applications to condensed matter physics
+6. **Nonperturbative Methods in Quantum Field Theory**
+   - Instantons and solitons
+   - Lattice gauge theory
+   - Large N expansion and dualities
+7. **Quantum Computing and Quantum Information**
+   - Qubits and quantum gates
+   - Quantum algorithms and complexity
+   - Quantum error correction and entanglement entropy
+"""
+
+# Streamlit app to display the outlines
+st.title("Graduate Physics Course Outlines")
+
+tab1, tab2, tab3, tab4, tab5, tab6 = st.tabs(["PHY 504", "PHY 611", "PHY 613", "PHY 614", "PHY 615", "PHY 632"])
+
+with tab1:
+    st.markdown(phy504)
+
+with tab2:
+    st.markdown(phy611)
+
+with tab3:
+    st.markdown(phy613)
+
+with tab4:
+    st.markdown(phy614)
+
+with tab5:
+    st.markdown(phy615)
+
+with tab6:
+    st.markdown(phy632)