This page has links to supplementary notes for the graduate Quantum Mechanics (I) class (PHY 389 K) as taught in Fall 2021 by Professor Vadim Kaplunovsky.

- Stern–Gerlach experiment (Wikipedia article).
- Hilbert space formalism.
- Canonical quantization.
- Two body problem.
- Multiple oscillators, phonons, and photons.
- Population inversion (Wikipedia article).
- Identical bosons and non-relativistic quantum fields (notes from my Quantum Field Theory class).
- Bose–Einstein Condenstation and superfluidity.
- Wave mechanics in one dimension.
- WKB approximation, Born–Sommerfeld rule, and tunneling (updated 10/21/2023 at 16:20).
- Saddle point method and Airy functions.
- Charged particles, Aharonov–Bohm effect, and magnetic monopoles.
- Superconductivity.
- Rotation symmetry and angular momentum.
- Path integrals: Introduction (updated 10/20/2023 at 21:32); Euclidean time (notes from my Quantum Field Theory class).
- 3J symbols (Wikipedia article).
- Wigner–Eckart theorem.
- Fine structure (Wikipedia article).
- Fine structure and Zeeman effect for an oxygen atom.

Last Modified: October 31, 2023. Vadim Kaplunovsky

vadim@physics.utexas.edu