Graduate Courses in Physics
Seminar-style course covering multiple topics in contemporary physics research. Students will attend presentations about recent research topics, given by experts as well as their peers. Students are required to give presentations and participate in discussions. The aim is to improve students' presentation skills, so that they can participate in scientific seminars in a professional manner.
A modern treatment of statistical mechanics. Topics covered include foundations of statistical mechanics, classical and quantum multi-particle models, and the physics of quantum fluids.
Advanced concepts in the structure and properties of solids, including the cooperative and many-body effects that influence transport, optical and magnetic properties.
Advanced classical electrodynamics with a focus on the relationship with special relativity. Topics covered include the covariant formulation of Maxwell’s equations; electromagnetic radiation from accelerating charges; and the scattering of electromagnetic waves by charged particles.
This course illustrates and explains the plethora of experimental methods available to contemporary solid-state physicists. Examples will be drawn from the field of strongly correlated electron physics, including topics such as phase modulation, nanoscale emergent phenomena and high-temperature superconductivity. Review of several theoretical concepts which include classical and quantum phase transitions, superconductivity, marginal Fermi liquids and the Luttinger model, density waves, low-dimensional magnetism, electronic glasses and interfacial reconstructions. Students will also be introduced to a wide range of experimental techniques.
Concepts and theories of nonlinear dynamical systems, in both the classical and quantum domains. Topics covered include chaotic dynamics; thermodynamics of chaotic systems; Hamiltonian chaos; and quantum chaos.
Introduction to the Standard Model (SM) of particle physics and its theoretical underpinnings. Topics covered include gauge theories; the elementary particle content of the SM; field quantization; and renormalization techniques.
Numerical solutions of differential equations in classical mechanics, quantum mechanics and electromagnetism. Monte Carlo methods for statistical mechanics simulation. Optimization and data analysis. Various advanced topics including Quantum Monte Carlo and Density Functional Theory.
Principles of optical spectroscopic techniques, with an emphasis on how these techniques are used in research. Topics covered include the theoretical description of light-matter interaction; the experimental signatures of material properties (such as acoustic and optical phonons, and electronic structures); and near-field scanning imaging techniques used in the structural characterization of nano-devices.
Principles of nonlinear optics, for students with a background in optics. Topics covered include nonlinear optical susceptibility; second-order nonlinear effects; third-order nonlinear effects; and ultrafast laser optics.
Specialized topics of current interest in physics research. Topics are chosen from a variety of areas, such as atmospheric physics, statistical physics, and computational physics.
Specialized topics of current interest in applied physics research. Topics are chosen from a variety of areas, such as nanotechnology, spintronics, and photonics.
Review of geometric optics, finite ray-tracing, paraxial systems, ideal systems, aberration theory, Seidel aberrations, correction of aberrations, lens design fundamentals, diffractive elements, and aspherical/freeform design.
Advanced but self-contained course in magnetics and spintronics technologies, and their applications in hard disk drives and emerging magnetic random access memory devices. Topics covered include the fundamentals of magnetism; recent developments in magnetic recording; and recent developments in magnetic random access memory.
Advanced topics in quantum mechanics. Topics covered include scattering theory; resonances; quantum entanglement; the Einstein-Podolsky-Rosen paradox and Bell's inequalities; fermions and bosons; second quantization; principles of quantum field theory; and quantum electrodynamics.
Introduction to quantum field theory (QFT). Topics covered include the path-integral formalism of quantum mechanics and QFT; canonical quantization; Green’s functions and Feynman diagrams in perturbation theory; the application of these concepts to quantum electrodynamics; and selected modern topics in condensed matter physics for which QFT is a useful framework, such as the fractional quantum hall effect, mean-field theory of superfluids, renormalization group and the Landau-Ginzburg theory of critical phenomena.