Official description

1. Review of Postulates of Quantum Mechanics

Hilbert Spaces, Density Matrix

1. Quantum Dynamics

Evolution Operator, Heisenberg vs. Schrodinger Picture

WKB (Semiclassical) Approximation

Coherent States

Electron in a Magnetic Field

1. 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

1. 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

1. Variational Methods

Electron in a Deformable Elastic Medium

1. Scattering Theory

Lippman-Schwinger Integral Equation

Partial Waves

S-matrix and T-matrix

Evaluation will be 50% homework and 50% final exam.

Textbook:

Modern Quantum Mechanics 3rd edition by J.J. Sakurai and J.  Napolitano.
If desired, the digital eBook is available at:

https://www.campusebookstore.com/integration/AccessCodes/default.aspx?permalinkId=19f05b4c-2aff-444d-aac1-6806e6a7a1df&frame=YES&t=permalink