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.

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.

Credits: 3 Prerequisite: Math 256, Math 261, or equivalent and PH 142

Introduction to computational physical statistics, including analysis of large datasets, Bayesian and frequentist approaches to theoretical and experimental error analysis, sampling techniques in statistics and statistical/quantum physics, and Markov chain Monte Carlo. Physical examples include classical spin systems and Euclidean-time formulation of quantum mechanics. Emphasis is placed on application through numerical methods.

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.

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