Quantum Mechanics (I): Supplementary notes

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.