VPHYS 8031 Quantum Mechanics
Continuation of Phys 8030. Variational method, degenerate second order perturbation theory. Brief introduction to group theory with rotation group and Lorentz group as examples, addition
of angular momentum, Wigner-Ekhart theorem, derivation of covariant spin-half wave functions. Potential scattering theory: angular momentum decomposition, T-matrix, S-matrix, Lippman-Schwinger equation, scattering by two potentials, local and separable potentials. Dirac equation: current conservation; completeness; parity, time reversal, and charge conjugation symmetries; co-variant solution of the hydrogen atom; Feynman propagator.