## Graduate Courses

**PHY 503**

**Classical Mechanics: Principles and Problem Solving (Half-Term)**A graduate-level review of classical mechanics emphasizing problem solving.Steven S. GubserFrederick D. Haldane

**PHY 504**

**Electromagnetism: Principles and Problem Solving (Half Term)**A graduate-level review of electromagnetism emphasizing problem-solving.Frederick D. Haldane

**PHY 506**

**Advanced Quantum Mechanics**This is a one-semester course in advanced quantum mechanics. The emphasis is on systems with many degrees of freedom: dynamics, mixed states, entanglement, measurement, coherent states.Herman L. Verlinde

**PHY 509**

**Quantum Field Theory**Canonical and path integral quantization of quantum fields, Feynman diagrams, gauge symmetry, elementary processes in quantum electro dynamics, applications to condensed matter theoryHerman L. Verlinde

**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 513**

**Quantum Mechanics: Principles and Problem Solving (Half Term)**A graduate-level review of quantum mechanics emphasizing problem-solving.Steven S. Gubser

**PHY 514**

**Statistical Physics: Principles and Problem Solving (Half-Term)**A graduate-level review of statistical physics emphasizing problem-solving.Frederick D. Haldane

**PHY 521**

**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.Elliott H. Lieb

**PHY 523**

**Introduction to Relativity**This course gives an introduction to Einstein's theory of general relativity. No prior knowledge of general relativity will be assumed, and an overview of the differential geometry needed to understand the field equations and spacetime geometries will be given. Beyond this, topics covered will include black holes, gravitational waves, and cosmological spacetimes.Frans Pretorius

**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. Course also covers concepts in experimental tools and techniques.James D. Olsen

**PHY 536**

**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 540**

**Selected Topics in Theoretical High-Energy Physics: Strings, Black Holes and Gauge Theories**Discussion of modern tools of Quantum Field Theory and their applications, ranging from polymers to black holes.Alexander M. Polyakov

**PHY 557**

**Electronic Methods in Experimental Physics**This course is targeted for graduate students from all departments and undergraduate physics majors. The seminar introduces students to the basic techniques of electronics and instrumentation used to conduct experiments in the physical sciences. The course begins by teaching a foundation in analog and digital circuits including programmable digital logic devices using an iPad interface for data acquisition. Students develop measurement techniques in a wide range of experimental areas.Christopher G. TullyNorman C. Jarosik

**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

**QCB 515**

**/PHY 570**

**/EEB 517**

**/CHM 517**

**/MOL 515**

**Method and Logic in Quantitative Biology**Close reading of published papers illustrating the principles, achievements, and difficulties that lie at the interface of theory and experiment in biology. Two important papers, read in advance by all students, will be considered each week; the emphasis will be on discussion with students as opposed to formal lectures. Topics include: cooperativity, robust adaptation, kinetic proofreading, sequence analysis, clustering, phylogenetics, analysis of fluctuations, and maximum likelihood methods. A general tutorial on Matlab and specific tutorials for the four homework assignments will be available.Ned S. Wingreen