Hi, I am a final year undergraduate student having to do a presentation for a course in 'Advanced Quantum Mechanics.' Our lecturer offered the following topics. I have to pick one of these. 1. Born-Oppenheimer Approximation → Berry Phase 2. Non-Hermitian Quantum Mechanics 3. Path Integral Treatment of SHO 4. Scaling Symmetry in Quantum Mechanics (δ function function potential in 2D) and 'renormalisation' 5. Quantum Mechanics of charge-monopole system 6. Optical Bloch equations and quantum 'qubits' I think option 1 is from Atomic and Molecular Physics, option 6 is from Quantum Computing and options 2, 3, 4 and 5 belong to theoretical physics. Am I correct? Which ones do you think are challenging topics?