**Credits: **3 **Prerequisite: **MATH 340

Vector analysis, eigenvalues and eigenvectors, infinite series, method of Frobenius, complex variables, contour integration.

**Credits: **3 **Prerequisite: **(PH 341) and (PH 571, may be taken concurrently)

Central forces, scattering, noninertial reference frames, Coriolis force, Lagrange’s and Hamilton’s equations, small oscillations, continuum mechanics.

**Credits: **3 **Prerequisite: **(PH 351) and (PH 571)

Electrostatics in a vacuum and a medium, general solution of Laplace’s equation, Green’s functions, magnetostatics in a vacuum and a medium.

**Credits: **3 **Prerequisite: **PH 641

Maxwell’s equations, electromagnetic waves, radiation by accelerated charges, special relativity, Lagrangian formulation of electromagnetism.

**Credits: **3 **Prerequisite: **(PH 452) and (PH 571, may be taken concurrently)

WKB theory, Heisenberg picture, 3D wells, hydrogen atom, time-independent perturbation theory, angular momentum and spin, Clebsch-Gordan coefficients.

**Credits: **3 **Prerequisite: **PH 651

Wigner-Eckhart theorem, symmetries, density matrix, identical particles, interaction picture, time-dependent perturbation theory, scattering.

**Credits: **3 **Prerequisite: **(PH 452 and PH 462) and (PH 571, may be taken concurrently)

Canonical and grand-canonical ensembles; Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac statistics; density operator; Bose-Einstein condensation.

## Elective Courses

### Introductory Electives

**Credits: **3 **Prerequisite: **(MATH 340 and PH 353) and (CHEM 476 or PH 451)

Stimulated emission; laser resonators; theory of laser oscillation; specific laser systems; applications.

**Credits: **3 **Prerequisite: **PH 451 and PH 361

Crystal structures and bonding, electronic levels and vibrations, dielectric, optical and magnetic properties, quasiparticles, superconductivity.

**Credits: **3 **Prerequisite: **PH 451

Particle interactions and detection techniques. Quark model, scattering models and standard model of electroweak interactions, physics of colliders.

### Advanced Electives

**Credits: **3 **Prerequisite: **PH 531

Selected topics in modern condensed matter physics. Examples include topological phases of matter, superconductivity, heavy fermions, density functional theory, surfaces and interfaces.

**Credits: **3 **Prerequisite: **(PH 462) and (PH 531) and (PH 652)

Second quantization; electrons; phonons; electron-phonon interaction; superconductivity; magnetism; spin waves; density-functional methods; symmetry.

**Credits: **3 **Prerequisite: **PH 521

One- and two-photon spectroscopy; broadening mechanisms; nonlinear optics; coherent phenomena; experimental methods.

**Credits: **3 **Prerequisite: **PH 561 and PH 652

Symmetries, electrodynamics, renormalization, and the running coupling constant. Hadron structure, QCD, gauge symmetry and electroweak interaction.

**Credits: **3 **Prerequisite: **PH 652

Formal scattering theory; relativistic quantum mechanics, quantum theory of radiation, symmetries and statistics, many-body theory.

## Other Courses

**Credit: **1 **Prerequisite: **None

**Credits: **3 **Prerequisite: **None

Preparatory course for developing research content to pass masters oral presentation.

**Credits: **Var[1-18] **Prerequisite: **None

**Credits: **Var[1-18] **Prerequisite: **None

**Credits: **Var[1-5] **Prerequisite: **None

Supervised teaching of general physics laboratory and recitation sections.

**Credits: **Var[1-18] **Prerequisite: **None