**Quantum Mechanics II**

Physics 5371 Syllabus

Physics 5371 Syllabus

**[After J.J. Sakurai, “Modern Quantum Mechanics”, Chs.5-7; J.J. Sakurai, “Advanced Quantum Mechanics”, Chs.2,3.]**

**Approximation Methods**

Time-independent perturbation theory: nondegenerate case

Time-independent perturbation theory: the degenerate case

Hydrogenlike atoms: fine structure and the Zeeman effect

Variational methods

Time-dependent potentials: the interaction picture

Time-dependent perturbation theory

Applications to interactions with the classical radiation field

Energy shift and decay width

**Identical Particles**

Permutation symmetry

Symmetrization postulate

Two-electron system

The Helium atom

Permutation symmetry and Young Tableaux

**Scattering Theory**

The Lippmann-Schwinger equation

The Born approximation

Time-dependent formalism: the S-matrix

Optical theorem

Eikonal approximation

Free-particle states: plane waves versus spherical waves

Method of partial waves

Low-energy scattering and bound states

Resonance scattering

Identical particles and scattering

Symmetry considerations in scattering

More time-dependent formalism

Inelastic electron-atom scattering

Nucleon form factors

**Quantum Theory of Radiation**

Classical radiation field

Creation, annihilation and number operators

Quantized radiation field

Emission and absorption of photons by atoms

Rayleigh scattering, Thompson scattering and the Raman effect

Radiation damping and resonance fluorescence

The Lamb shift

**Realtivistic Quantum Mechanics of Spin 1/2 Particles**

Probability conservation

The Dirac equation

Simple solutions

The hydrogen atom

Bilinear covariants

Quantization of the Dirac field