PHY 408 Quantum Mechanics II

Semester: Spring
Credit Hours: 4
Prerequisite: PHY 407 or equivalent

Symmetries including parity, lattice translations, and time reversal. Stationary-state and time-dependent perturbation theory, Stark and Zeeman effects, fine structure, transition probabilities. Scattering theory with applications. Elementary QED, multipole and plane-wave expansions, properties of the photon. The Dirac equation and elementary mass renormalization.

syllabus

1. Scattering. Cross section. Optical theorem. Phaseshifts. Born approximation. Examples.
2. Perturbation theory. Nondegenerate theory up to second order wavefunction. Perturbations of degenerate level structure. Examples: Helium atom, Stark effect, Eqqman effect. Level repulsion
3. Variational principle. Application to Helium atom. Heavier atoms.
4. Atomic physics applications: Vander Waals force, H+ ion, fine structure and hyperfine structure.
5. Time dependent perturbation theory. Final state density. Golden rule
6. Semiclassical radiation theory

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