Quantum Mechanics – Prof. Robert Littlejohn
Lecture notes, homework & solutions of Physics 221
Quantum Field Theory – Prof. Hitoshi Murayama
Notes:
- Intro to QFT: Classical Schrödinger field, Review of canonical quantization, Quantized Schrödinger field, Fermions
- Spin
- Statistical Mechanics of Bosons
- Clifford Algebra and Spin (N) Representations
- Contour Integral
- Hydrogen Atom and Relativistic Corrections: H atom in Schrödinger equation, Klein-Gordon equation, Dirac equation, non-relativistic limit, Tani-Foldy-Wouthuysen transformation
- Regularization: sharp cutoff, Gaussian cutoff, higher derivative regularization, Pauli-Villars regularization, dimensional regularization, dimensional reduction regularization
- Feynman parameter integrals and electron self energy diagrams
- Abelian Higgs model, including gauge fixing, BRST symmetry, and absence of unphysical degrees of freedoms (scalar polarization of gauge bosons, Nambu-Goldstone boson, Fadeev-Popov ghosts, and anti-ghosts)
For more materials: go to Physics 232A Homepage
More graduate class materials coming…

