## Graduate Courses

**ELE 561**

**/PHY 565**

**/MSE 556**

**Fundamentals of Nanophotonics**Introduction to theoretical techniques for understanding and modeling nanophotonic systems, emphasizing important algebraic properties of Maxwell's equations. Topics covered include Hermitian eigensystems, photonic crystals, Bloch's theorem, symmetry, band gaps, omnidirectional reflection, localization and mode confinement of guided and leaky modes. Techniques covered include Green's functions, density of states, numerical eigensolvers, finite-difference and boundary-element methods, coupled-mode theory, scattering formalism, and perturbation theory. The course explores application of these techniques to current research problems.Alejandro W. Rodriguez

**PHY 503**

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

**PHY 504**

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

**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 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 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 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 558**

**Electronic Methods in Experimental Physics II**This is a laboratory course that provides hands-on experience designing, building and testing digital logic circuits. The course meets for one three hour session each week and has weekly reading assignments. Topics covered include combinatorial and sequential logic devices, A/D and D/A converters, PLLs and microcontrollers. Grading is in P/D/F format as is based on solutions of several "design problems" assigned throughout the semester. Students are assumedto have some familiarity programming in a procedural language ( C, Pascal, FORTRAN, Java, etc.) This course complements PHY557 which concentrates on analog electronics.Norman C. Jarosik

**QCB 505**

**/PHY 555**

**Topics in Biophysics and Quantitative Biology**Analysis of recent work on quantitative, theoretically grounded approaches to the phenomena of life. Topics rotate from year to year, spanning all levels of biological organization, including (as examples) initial events in photosynthesis, early embryonic development, evolution of protein families, coding and computation in the brain, collective behavior in animal groups. Assumes knowledge of relevant physics and applicable mathematics at advanced undergraduate level, with tutorials on more advanced topics. Combination of lectures with student discussion of recent and classic papers.William Bialek

**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