## Graduate Courses

**PHY 506**

**/MSE 576**

**Advanced Quantum Mechanics**This is a one-semester course in advanced quantum mechanics. The emphasis is on systems with more than one degree of freedom: dynamics, mixed states, entanglement, measurement, coherent states, decoherence, resonance, exchange, Hartree-Fock, Dirac equation, other topics.Shivaji L. Sondhi

**PHY 510**

**Advanced Quantum Field Theory**Relations between Quantum Field Theory and Statistical Mechanics, Renormalization Group, Non-Abelian Gauge Theories, Asymptotic Freedom, Quantum Chromodynamics, Chiral Lagrangians, General Constraints on RG Flows.Igor R. Klebanov

**PHY 521**

**/MAT 597**

**Introduction to Mathematical Physics**An introduction to mathematically rigorous methods in physics. Topics to be covered include classical and quantum statistical mechanic, quantum many-body problem, group theory, Schroedinger operators, Theory of quantum entropy and quantum information theory.Elliott H. Lieb

**PHY 536**

**/MSE 577**

**Advanced Condensed Matter Physics II**Course introduces and present ongoing theoretical investigations of new research topics in condensed matter physics: topological insulators and Chern numbers, topological superconductors, the fractional quantum Hall effect and non-abelian statistics, as well as new high-temperature superconductors. The techniques needed to deal with such systems, such as Chern numbers, topological band theory, Berry phases, conformal field theory, Chern-Simons theory, t-J models, Gutzwiller wavefunctions, Hubbard models, are explained.Frederick D. Haldane

**PHY 561**

**Biophysics**The course presents a broader view of biological physics. While the course starts with an overview of the fundamentals of biological physics, using Frauenfelder's text book as a guide, the course will move on to higher levels of biological systems, using evolution and ecology as our primary organizing principles. The course will have a section on the Physics of Cancer at the end.Robert H. Austin

**PHY 563**

**Physics of the Universe: Origin & Evolution**The course is the first of a two-semester survey (along with PHY 564) of fundamental concepts which underly contemporary cosmology. The first semester focuses on the nearly homogeneous evolution of the universe including the standard big bang picture, inflationary cosmology, dark matter, and the possibility of present-day accelerated expansion. The second semester focuses on the late stages in the evolution of the universe, when gravity results in the growth of large-scale structure, perturbations in the cosmic microwave background, gravitational lensing and other non-linear phenomena.Paul J. Steinhardt