Advanced Quantum Mechanics

Undergraduate / Graduate

This course will cover several topics that further develop and apply the formalism of quantum mechanics. The first main topic involves electromagnetic effects in quantum mechanics including the role of gauge invariance, the Aharonov-Bohm effect, Landau levels, and paramagnetic and diamagnetic effects. The second main topic is scattering in three dimensions including the Born approximation, partial wave analysis and phase shifts, and the optical theorem. Depending on the time available and the interests of the students and instructor, other topics might include the adiabatic approximation and Berry's phase, symmetries in quantum mechanics, and the path integral formulation of quantum mechanics.