Courses

All courses carry 3 credits unless otherwise specified.

531 Electronics for Scientists I
Operation and use of the basic elements of modern electronics, both analog and digital. Analog circuit analysis, filters, diodes, transistors, operational amplifiers, oscillators, power supplies, integrated circuits. Gate construction and families, flip-flops and flip-flop circuits, the 68000 microprocessor, machine language, and the building of a computer based on the 68000. A “hands-on” experience for those using electronic equipment in research, testing, and analysis. Prerequisites: a freshman course in electricity and magnetism; knowledge of basic dc and ac circuit concepts. Credit, 4.

537 Special Topics-Quantum Computation
Basic introduction to the field of quantum information and quantum computation, using concrete examples of superconducting qubit systems as a main thread. Covers: Qubits and their driven dynamics: entanglement and teteportation; unitary control and quantum gates; quantum circuits and simple algorithms; density matrices and open quantum systems; superconducting circuit quantization; characterization and tomography; quantum error correction.

551 Biological Physics
This course, intended for students with a background in physical, chemical or quantitative life science, will cover physical principles that apply to biological molecules and cells: Brownian motion, low Reynolds-number environments, forces relevant to cells and molecules, chemical potentials and free energies, as well as the basics of polymer physics. The emphasis will be on theory and model-building; specific topics will include molecular machines, self-assembly, membranes, DNA, and RNA. Prerequisites: PHYSICS 151 or 181; PHYSICS 152 or 182; MATH 233; PHYSICS 423 and 287; or CHEM 475.

553 Optics
Lecture, discussion, laboratory. Modern optics. Geometrical and classical physical optics. Matrix methods in optical design. Optical instruments. Interference and spatial coherence. Diffraction. Fourier transform spectroscopy. Prerequisite: PHYSICS 422.

556 Nuclei and Elementary Particles
Nuclear properties and models, nuclear decays and reactions. Interactions of hadrons and leptons, internal symmetries and quantum numbers, quarks, unified interactions and gauge symmetry. Prerequisite: PHYSICS 424.

558 Solid State Physics
Introduction to the properties of solids. Emphasis on the key role played by quantum mechanics in determining the electrical and thermal properties of metals, insulators, semiconductors, and magnets. For senior and graduate students in physics and astronomy, the physical sciences, and engineering. Prerequisites: PHYSICS 423 and 424.

562 Advanced Electric and Magnetic Fields
Description of electic and magnetic fields in a dynamical context-electromagnetic radiation theory, optics, plasma physics, relativistic electrodynamics, cavity resonators, waveguides. Prerequisite: Physics 422.

564 Introductory Advanced Quantum Mechanics
Breakdown of classical physics, wave mechanics including the Schroedinger equation and its interpretation, one-dimensional problems, uncertainty principle, harmonic oscillator, hydrogen atom. Prerequisites: PHYSICS 422, 424.

568 Cosmology and General Relativity
Mathematical and conceptual aspects of the special and general theories of relativity. Lorentz transformations, covariant formulation of the laws of nature. The equivalence principle, curved spaces, solutions of the equations of relativity. Prerequisite: PHYSICS 422.

601 Classical Mechanics
Lagrange’s and Hamilton’s equations, central force problem, rigid bodies, small oscillations, continuum mechanics, fluid dynamics.

602 Statistical Physics
Survey of thermodynamics. Boltzmann distribution, statistical interpretation of thermodynamics, Gibbsian ensembles and the method of Darwin, Fowler; quantum distributions and their applications, transport phenomena. Prerequisites: PHYSICS 601, 606 (the latter may be taken concurrently).

605 Methods of Mathematical Physics
Selected topics with application to physics in linear algebra and Hilbert space theory, complex variables, Green’s functions, partial differential equations, integral transforms, integral equations. Credit, 4.

606 Classical Electrodynamics I
Electrostatic and magnetostatic fields in vacuum and material medium. Maxwell’s equations, radiation, and special relativity. Covariant formulation of the field equations. Fields of a moving charge, motion of particles, radiation reaction, applications to physical phenomena as time permits. Prerequisite: PHYSICS 601. Credit, 4.

614 Intermediate Quantum Mechanics I
Abstract quantum mechanics, Hilbert space, representation theory, three-dimensional problems, angular momentum, spin, vector coupling, bound state perturbation theory, variational method. Prerequisite: PHYSICS 605.

615 Intermediate Quantum Mechanics II
Angular momentum, time dependent and time independent perturbation theory, semi-classical and quantum treatment of radiation, scattering theory, Klein-Gordon equation, Dirac equation. Prerequisite: PHYSICS 614.

651 Topics in Laboratory Techniques
This class introduces students to different experimental techniques and limitations in order to help them succeed in an experimental research PhD. The objective is to familiarize students with experimental techniques common to many physics research laboratories. It will provide hands -on knowldege.

696 Independent Study
Special study in some branch of physics, either theoretical or experimental, under direction of a faculty member.

699 Master’s Thesis
Credit, 6.

714 Introductory High Energy Physics
Introduction to physics of elementary particles; treating the development of the field, the particle spectrum, symmetries, quarks, experimental methods, an introduction to theories of the strong, electromagnetic and weak interaction, and recent developments. Prerequisites: PHYSICS 614, 606.

715 Introductory Solid State Physics
Solids treated as translational symmetry structures, their effect in x-ray and particle scattering, and thermal and vibrational properties of solids. Binding energy of solids, electronics in periodic potentials, and formation of bands. The free electron model of metals. Prerequisite: PHYSICS 614.

716 Introduction to Superfluidity and Superconductivity
Description of fundamental experiments and properties of superfluid ^He, ¨He and superconductors. The two fluid model, elementary excitations, fluid structure, vortices, superfluid films and macroscopic quantum effects in superfluidity. Type I and II superconductors, the mixed state, the Meisner effect, superconducting junctions and an introduction to devices. Prerequisite: PHYSICS 614.

718 Topics in Continuum Physics
This course will address elementary concepts in continuum mechanics: conserved scalar and vector fields, and the stress tensor, and Lagrangian and Eulerian descriptions of the balance laws. Examples of motion- extensional, shear, and rigid body motion will be discussed, along with the basic equations of elasticity. We Will study the basic equations of fluid mechanics, the Navier-Stokes equations, and its solutions in special cases, for viscous flows and low Reynolds number hydrodynamics. We will briefly touch upon the theory of boundary layers, fluid mechanical instabilities, transition and turbulence, and interfacial flow phenomena. The interaction of fluids with dispersed particles, and the governing equations for the dispersed phanse dynamics will be discussed.

724 Group Theory in Quantum Mechanics
Finite dimensional groups and their representations; representations of the permutation group; representations of SU(n), tensor representations, decomposition of direct product representations; three-dimensional rotation group. Clebsch-Gordon and Racah co-efficients; the Lorentz group and its representations; applications to atomic, solid state, nuclear and high energy physics. Prerequisite: PHYSICS 615.

811 Quantum Field Theory I
Klein-Gordon and Dirac equations, field quantization, interacting fields, S-matrix, perturbation theory and Feynman diagrams, renormalization, path integrals, and recent developments.

812 Quantum Field Theory II
Second half of a full year course in Quantum Field Theory. The focus will be on symmetries in quantum field theory, with a particular emphasis on the Poincare group and it's representations. Quantization of spin-1/2 field will be subsequently covered, followed by an in-depth treatment of Quantum Electrodynamics and it's renormalization. An introduction to path integral quantization and non-Abelian gauge theories will also be included. Prerequisite: PHYSICS 811.

813 High Energy Physics
Advanced study of particle physics. Topics vary with instructor; may include the theory of the weak interactions, deep inelastic scattering, phenomenology of the strong and weak interactions, quantum chromodynamics, gauge theory, attempts at unification, and recent developments. Prerequisite: PHYSICS 714.

817 Advanced Statistical Physics
Phase transitions, including condensation; description of imperfect gases. Transport theory and other nonequilibrium phenomena. Irreversible processes. Field theoretic quantum statistical physics. Prerequisite: PHYSICS 602.

821 General Relativity
Mathematical and conceptual aspects of the special and general theories of relativity. Lorentz transformations, covariant formulation of the laws of nature. The equivalence principle, curved spaces, solutions of the equations of relativity. Prerequisite: PHYSICS 606.

850 Soft Condensed Matter
One or more subjects of special interest covered in lectures. Consent of instructor required.

852 Special Topics in High Energy Physics
Advanced and current topics in high energy physics. Prerequisite: PHYSICS 813.

853 Special Topics in Solid State Physics
dvanced and current topics in solid state physics.

859 Introduction to Gauge Theory
In this course we study gauge theories and their quantum dynamics, primarily in four dimensions. We begin with electrodynamics, its quantum observables, electromagnetic duality, and Higgsing and confinement(superconductivity). We then generalize to Yang-Mills theory, studying asymptotic freedom, soliyond, the theta angel, instantons, and chiral anomalies. Other topics will be discussed if time permits, including but not limited to chiral symmetry breaking, exact results in supersymmetric gauge theories, lower-dimensional, highter-form, and discrete gauge theories, lattice gauge theories, and large N techniques.

860 Seminar on Research Topics
Instruction via reading assignments and seminars on research topics not currently covered in regular courses. Consent of instructor required. Credit, 1-3.

899 Doctoral Dissertation
Credit, 18.