Advanced techniques utilizing vector calculus, series expansions, contour integration, integral transforms (Fourier, Laplace and Hilbert) asymptotic estimates, and second order differential equations.

BUILDING: GRGEN | ROOM: 108

PREREQUISITES: ME 201, 202 and permission of instructor

Quantum-mechanical axioms. Probability densities and currents. Boson representations of the oscillator. Angular momentum including Clebsch-Gordan coupling, spherical tensors, finite rotations, and applications to atoms and nuclei. Simple gauge transformations. Aharonov-Bohm effect. Bell's theorem. The SO(4) treatment of the hydrogen atom.

BUILDING: B&L | ROOM: 269

PREREQUISITES: PHY 246 or permission of instructor

Lagrangian and Hamiltonian dynamics, canonical transformations, Hamilton-Jacobi equations, chaotic dynamics, periodic orbits, Stable and unstable orbits, Julia and Fatou sets, Convergence of Newton's Iteration, KAM theory. (Offered the first 8 weeks as 311A).

BUILDING: WEGMN | ROOM: 1005

PREREQUISITES: PHY 235

An advanced treatment of electromagnetic phenomena. Electromagnetic wave propagation, radiation, and waveguides and resonant cavities, diffraction, electrodynamic potentials, multipole expansions, and covariant electrodynamics.

BUILDING: B&L | ROOM: 269

PREREQUISITES: PHY 401 or concurrently

This laboratory course (3 hours per week) exposes students to cutting-edge photon counting instrumentation and methods with applications ranging from quantum information to nanotechnology,biotechnology and medicine. Major topics include quantum entanglement and Bell’s inequalities, single-photon interference, single-emitter confocal fluorescence microscopy and spectroscopy, photonic bandgap materials, Hanbury Brown and Twiss interferometer, and photon antibunching. Each lab also includes lecture and discussions of lab materials.

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Fundamentals and applications of optical systems based on the nonlinear interaction of light with matter. Topics to be treated include mechanisms of optical nonlinearity, second-harmonic and sum- and difference-frequency generation, photonics and optical logic, optical self-action effects including self-focusing and optical soliton formation, optical phase conjugation, stimulated Brillouin and stimulated Raman scattering, and selection criteria of nonlinear optical materials. References: Robert W. Boyd, Nonlinear Optics, Second Edition.

BUILDING: LATT | ROOM: 431

PREREQUISITES: OPT 461 or OPT 462

This course is designed for physics majors interested in nuclear and particle physics. The course introduces the Standard Model of particle physics. The unification of electromagnetic and weak interactions is discussed. Higgs mechanism of electroweak symmetry is introduced. Finally, the fundamental interactions of elementary particles and their constituents are reviewed, with emphasis on issues pertaining to the conservation of quantum numbers and symmetries observed in high-energy collisions. (cross-listed with PHY 440).

BUILDING: WEGMN | ROOM: 1009

PREREQUISITES: PHY 237

This course will survey the field of high-energy-density science (HEDS), extending from ultra-dense matter to the radiation-dominated regime. Topics include: experimental and computational methods for the productions, manipulation, and diagnosis of HED matter, thermodynamic equations-of-state; dynamic transitions between equilibrium phases; and radiative and other transport properties. Throughout the course, we will make connections with key HEDS applications in astrophysics, laboratory fusion, and new quantum states of matter.

BUILDING: LCHAS | ROOM: 148

Basic plasma parameters; quasi-neutrality, Debye length, plasma frequency, plasma parameter, Charged particle motion: orbit theory. Basic plasma equations; derivation of fluid equations from the Vlasov equation. Waves in plasmas. MHD theory. Energy balance.

BUILDING: HYLAN | ROOM: 306

PREREQUISITES: PHY 217 or OPT 262

The study of incompressible flow covers fluid motions which are gentle enough that the density of the fluid changes little or none. Topics: Conservation equations. Bernoulli's equation, the Navier-Stokes equations. Inviscid flows; vorticity; potential flows; stream functions; complex potentials. Viscosity and Reynolds number; some exact solutions with viscosity; boundary layers; low Reynolds number flows. Waves.

BUILDING: HYLAN | ROOM: 206

PREREQUISITES: ME 225, ME 201 OR MTH 281

Physics and implementation of X-ray, ultrasonic, and MR imaging systems. Fourier transform relations and reconstruction algorithms of X-ray and ultrasonic-computed tomography, and MRI.

BUILDING: DEWEY | ROOM: 2110D

PREREQUISITES: ECE242

This course investigates the imaging techniques applied in state-of-the-art ultrasound imaging and their theoretical bases. Topics include linear acoustic systems, spatial impulse responses, the k-space formulation, methods of acoustic field calculation, dynamic focusing and apodization, scattering, the statistics of acoustic speckle, speckle correlation, compounding techniques, phase aberration correction, velocity estimation, and flow imaging. A strong emphasis is placed on readings of original sources and student assignments and projects based on realistic acoustic simulations.

BUILDING: MEL | ROOM: 209

PREREQUISITES: BME230 or ECE241

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This course is designed for a student to be Laboratory or Recitation Teaching Assistant (TA). Typically, the student spends the semester teaching two laboratories or up to four recitations during the Fall semester for the introductory physics courses: PHY 113, PHY 122, PHY 141, PHY 142, or introductory astronomy course: AST 111, or teaching one or more recitation(s): AST 111, PHY 113, PHY 122, PHY 141, PHY 142, or a 200 level undergraduate physics or astronomy course. Attendance of the weekly teaching seminars PHY 597-Fall, giving feedback to other leaders, and a constructive evaluation process are required. This course is non-credit and may be taken more than once.

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PREREQUISITES: Students are required two weeks prior to the beginning of the Fall semester, to attend a two-day rigorous training program. Students prepare and present a short model recitation and are video taped for self-evaluation.

Continuation of PHY 498.

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A continuation of PHY 418, involving the theory of imperfect gases, phase transition, and Brownian motion.

BUILDING: LCHAS | ROOM: 182

PREREQUISITES: PHY 402, 408, 418

Classification of solids by crystal lattice, electronic band structure, phonons, and optical properties; X-ray diffraction, neutron scattering, and electron screening. (same as MSC 550, also offered first 8 weeks as P321A).

BUILDING: B&L | ROOM: 315

PREREQUISITES: PHY 407, PHY 408, or permission of instructor

As the number of interacting degrees of freedom (or agents) in a given system increases, its behavior often changes qualitatively, and not only quantitatively. Complexity is the emerging field of research, which investigates the shared underlying concepts and principles of such systems. It finds its applications in Physics, Computer Science, Mathematics, Biology, Social Sciences, Economy, and more. In this introductory course we will focus on these common features and their utilization in understanding complex systems. They will include for example: Fractals, non-linearity and chaos, adaptation and evolution, critical and tipping points, patterns formation, networks modeling, feedback loops, emergence and unpredictability, etc. Students in the course will be given ample opportunities to study farther these systems and/or techniques that are of particular interest to them. Prerequisites include basic knowledge in differential equations, linear algebra, and probability.

BUILDING: LCHAS | ROOM: 161

PREREQUISITES: MTH 165, PHY 402, PHY 404 or equivalent

Classical and quantum mechanical theories of the interaction of light with atoms and molecules, with emphasis on near resonance effects, including coherent nonlinear atomic response theory, relaxation and saturation, laser theory, optical pulse propagation, dressed atom-radiation states, and multi-photon processes. (same as OPT 551).

BUILDING: B&L | ROOM: 269

PREREQUISITES: PHY 401, PHY 402, PHY 407, PHY 408, PHY 415 or permission of instructor

Special study or work, arranged individually.

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A (Fall) - Noncredit course given once per week, required of all first-year graduate students. The seminar consists of lectures and discussions on various aspects of being an effective teaching assistant, including interactions with undergraduate student body and cross-cultural issues. B (Spring) - Noncredit course given once per week required of all first-year graduate students. Members of the faculty discuss topics in their curent area of research interest.

BUILDING: GRGEN | ROOM: 108

PREREQUISITES: None.

This course is designed for a student to be a Workshop Leader Teaching Assistant (TA). Typically, the TA attends the weekly Workshop Leader Training meeting that offers specialized support and training in group dynamics, learning theory, and science pedagogy for students facilitating collaborative learning groups for science and social science courses. The TA teaches three to four workshops in one of the fall semester introductory physics courses: PHY 113, PHY 122, PHY 141 or PHY 142. Additional requirements are: Attendance of the weekly Graduate Teaching Seminars PHY 597-Fall, giving feedback to other leaders and a constructive evaluation process. This course is non-credit and may be taken more than once.

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This course is designed as a follow-up course for an experienced Workshop Leader, titled a lead Workshop Leader Teaching Assistant (TA). Typically, the TA attends the weekly Workshop Leader Training meeting that offers specialized support and training to develop leadership skills, to foster ongoing communication among faculty members and study group leaders, and to provide an environment for review of study group related issues. Students spend the semester teaching three to four workshops during the Spring semester introductory physics courses.

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