Official description

1. Review of Postulates of Quantum Mechanics
   Hilbert Spaces, Density Matrix
2. Quantum Dynamics
   Evolution Operator, Heisenberg vs. Schrodinger Picture
   WKB (Semi-classical) Approximation
   Coherent States
   Electron in a Magnetic Field
3. Symmetry in Quantum Mechanics
   Parity, Time Reversal
   Translation, Electron in a Periodic Potential, Bloch’s Theorem
   Disordered Lattices and Localized States
   Green’s Function Method
4. Perturbation Theory
   Time-independent: Rayleigh-Schrodinger and Brillouin-Wigner series expansions
   Time-dependent perturbation theory: Fermi’s Golden Rule, Absorption and Emission of Light from Atoms
5. Variational Methods
   Electron in a Deformable Elastic Medium
6. Scattering Theory
   Lippman-Schwinger Integral Equation
   Partial Waves
   S-matrix and T-matrix

Additional information

Grading: 5 problem sets worth 10% each; 1 final exam worth 50%