MATH 401 Quantum Mechanics

Fundamental concepts. Kets, Bras, and operators. Measurements, observables. Uncertainty relations. Position and momentum space. Quantum dynamics. Time evolution and Schrödinger equation. The Schrödinger and Heisenberg picture. Simple harmonic oscillator. Schrödinger’s wave equation. Propagators and Feynman path integral. Potentials and gauge transformations. Rotations and angular momentum. Spin. Rotation group. The density operator. Identical particles. Quantum statistics. Symmetries in quantum mechanics. Scattering theory.