## Graduate Courses

**MSE 504**

**/CHM 560**

**/PHY 512**

**/CBE 520**

**Monte Carlo and Molecular Dynamics Simulation in Statistical Physics & Materials Science**This course examines methods for simulating matter at the atomistic scale with emphasis on the concepts that underline modern computational methodologies for classical many-body systems at or near statistical equilibrium. The course covers Monte Carlo and Molecular Dynamics (from basics to advanced techniques).Roberto Car

**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, and quantum information theory.Michael Aizenman

**PHY 525**

**Introduction to Condensed Matter Physics**Electronic structure of crystals, phonons, transport and magnetic properties, screening in metals, and superconductivity.Ali Yazdani

**PHY 529**

**High-Energy Physics**An overview of modern elementary particle physics and the Standard Model. Specific topics include: weak decays, W and Z physics, deep inelastic scattering, CP violation, neutrino oscillations, Higgs searches, with an emphasis on areas of current interest.Mariangela Lisanti

**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.Bogdan A. Bernevig

**PHY 550**

**Recent Advances in Cosmology (Half-Term)**This half-term course focuses on problems with the current paradigms of the early universe (big bang inflation), dark matter (weakly interacting massive particles) and dark energy (cosmological constant and analyze recent approaches for resolving the problems. The course uses published literature for the readings.Paul J. Steinhardt

**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