Update pages/50_PHY_615_Quantum_Mechanics_II.py

pages/50_PHY_615_Quantum_Mechanics_II.py

@@ -214,4 +214,25 @@ with st.expander("**Week 14: Open Quantum Systems and Decoherence**"):
     """)
 
 # Week 15: Review and Final Exam Preparation
-with st.expander("**Week 15: Review and Final Exam Preparation**"):
+with st.expander("**Week 15: Review and Final Exam Preparation**"):
+    st.markdown("""
+    ### Topics Covered
+    - Comprehensive review of time-dependent perturbation theory, scattering, and symmetry.
+    - Applications to atomic, molecular, and quantum field systems.
+    - Problem-solving sessions and final exam preparation.
+
+    ### Problems
+    85. Solve for the scattering cross-section of a particle in a central potential using the Born approximation and partial waves.
+    86. Compute the transition rate for a quantum system undergoing spontaneous emission using Fermi’s Golden Rule.
+    87. Apply time-dependent perturbation theory to solve for the transition probability of a quantum system in an oscillating field.
+    88. Solve for the energy levels of a multi-electron atom using the Pauli exclusion principle and perturbation theory.
+    89. Analyze the quantum behavior of identical particles in a potential well and compute the exchange interaction energy.
+    90. Use the second quantization formalism to compute the energy levels of a quantum field.
+    """)
+
+# Textbooks Section
+st.markdown("""
+## Textbooks
+- **"Modern Quantum Mechanics"** by J. J. Sakurai and Jim Napolitano  
+- **"Quantum Mechanics: Concepts and Applications"** by Nouredine Zettili
+""")