#### A Particle in a Central Field

- The asymptotic behavior of the radial functions, two interacting particles.

#### Hydrogenic Systems

- The hydrogen atom, eigenvalues and eigenfunctions, spectroscopic notation, hydrogenic systems.

#### Diatomic Molecules

- Motion of the nuclei, vibrational-rotational levels.

#### Addition of Angular Momentum

- Clebsch-Gordan coefficients, adding more than two angular momenta, rotation matrices, transformation properties of the spherical harmonics, the Wigner-Eckart theorem, the projection theorem.

#### Gauge Transformations, Flux Quantization, Propagator

- Gauge transformations in electromagnetism, the Aharonov-Bohm effect, magnetic monopoles, propagator and path integrals.

#### Periodic Systems

- Periodic and continuous systems, Electrons in a solid.

#### Scattering

- Scattering by a central potential, free spherical waves, partial waves, phase shifts, the scattering cross section near a resonance, scattering length and effective range, frame transformations, integral scattering equation for stationary states, the Born approximation, the Yukawa potential, the Coulomb potential.

#### Approximation Methods for bound states

- Stationary perturbation theory, the perturbation of degenerate states, the variational method,

#### The fine structure and hyperfine structure of H

- The Dirac equation, the fine structure Hamiltonian, the hyperfine structure Hamiltonian.

#### Time Dependent Perturbation Theory

- Atoms interacting with an electromagnetic wave, transition selection rules

#### Identical Particles

- Permutation operators, Slater Determinants, atomic spectra, coupling schemes