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PHYS 30201 Mathematical fundamentals of quantum mechanics

Lecture notes

These notes were developed by Judith McGovern, the previous lecturer of this course. I will be making minor corrections and updates to them during the semester. Table of contents Fundamentals of Quantum Mechanics Angular momentum and spin The variational method and WKB approximation Time-independent perturbation theory and the hydrogen atom The EPR paradox and Bell's inequalities Appendices These contain background notes various topics, which are mostly revision of second-year quantum mechanics and vector spaces. Index notation, Vector spaces and functions as vectors, Recap of 2nd year QM, Hermite polynomials, Basic angular momentum in QM, Hydrogen wave functions, Delta functions, Gaussian integrals, Airy functions, Units in EM. Extra notes These provide additional background on several topics, with more detail than in the lectures. Mathematica notebook for section 3.2 "Derivations" of spin-orbit Hamiltonian Fine-structure calculation details Extra notes for Zeeman and Stark effects

16th October 2019

Up: PHYS 30201