Role within programme and connections to other courses. The second QM course is not required for the majors programme, but furnishes our honours students with a range of tools allowing them to move beyond hydrogen-like atoms and to explore the applications of quantum mechanics.
Contents. Time independent perturbation theory, non-degenerate and degenerate cases, the Stark effect, fine structure, the Zeeman effect; the variational method, helium atom; the WKB method; time-dependent perturbation theory, Fermi's golden rule, harmonic perturbation, the adiabatic approximation, the Berry phase; a charged particle in EM field, gauge transformation, Landau levels, the Aharonov-Bohm effect; scattering theory: the Lippmann-Schwinger equation, optical theorem, partial wave expansion, phase shifts, effective range expansion, resonances, scattering between identical particles, Coulomb scattering.
