Physics

PHY 102: Introductory Physics IIThis course presents an introduction to the fundamental laws of nature, especially optics, electricity/magnetism, nuclear and atomic theory. These are treated quantitatively with an emphasis on problem solving. The laboratory is intended to give students an opportunity to observe physical phenomena and to gain "handson" experience with apparatus and instruments.

PHY 104: General Physics IIThis calculusbased course is primarily geared to students majoring in engineering and physics, but is also well suited to majors in other sciences. The goal of the course is to develop an understanding of the fundamental laws of physics, in particular, electricity and magnetism, with applications to electronics, optics, and quantum computing.

PHY 106: Advanced Physics (Electromagnetism)This course features the classical theory of electricity and magnetism, with emphasis on the unification of these forces through the special theory of relativity. While the subject matter is similar to that of PHY 104, the treatment is more sophisticated. The topics also include DC and AC circuits and the electromagnetic behavior of matter.

PHY 108: Physics for the Life SciencesPHY108 is designed to introduce physics and its applications to students interested in the life sciences. The course is broadly organized around 4 major concepts: Optics, Radiation & Electromagnetism, Fluids and Oscillators. Specific topics are chosen to be directly relevant to modern life science research and techniques. Lectures are carried out in a lablike setting and include handson demos to introduce material. Weekly help sessions will be offered through the McGraw Center. Satisfies premedical requirements; contact HPA for more information.

PHY 109: Physics Methods and ApplicationsPHY 109 will focus on physics concepts, methodologies, and problem solving techniques, with a selection of topics drawn from the PHY 103 and 104 curriculum. PHY 109 has no lab component. The goal of the course is a mastery of mechanics (PHY 103), together with the related mathematical tools, and a first exposure to concepts from electricity and magnetism (PHY 104). This is the first course in a twocourse sequence, concluding with PHY 110 in the summer term.

PHY 208: Principles of Quantum MechanicsThis is the Physics Department's introductory quantum mechanics course. Its intent is to present the subject in a fashion that will allow both mastery of its conceptual basis and techniques and appreciation of the excitement inherent in looking at the world in a profoundly new way. Topics to be covered include: state functions and the probability interpretation, the Schroedinger equation, uncertainty principle, the eigenvalue problem, angular momentum, perturbation theory, and the hydrogen atom.

PHY 210: Experimental Physics SeminarThis seminar introduces fundamental techniques of electronics and instrumentation. The course consists of weekly handson labs that introduce the students to the fascinating world of electronics. We begin with learning how to build circuits and probe their behavior and then explore what can be done to create instrumentation and make measurements. We start with analog electronics and then proceed with programmable digital logic with FPGAs. The final project involves Machine Learning implemented in FPGAs, a glimpse of what modern electronics can do. Prerequisites: None. One threehour seminar and one precept by appointment.

ISC 233/CHM 233/COS 233/MOL 233/PHY 233: An Integrated, Quantitative Introduction to the Natural Sciences IIAn integrated, mathematically and computationally sophisticated introduction to physics and chemistry, drawing on examples from biological systems. This year long, four course sequence is a multidisciplinary course taught across multiple departments with the following faculty: T. Gregor, J. Shaevitz (PHY); O. Troyanskaya (COS); J. Akey (EEB); E. Wieschaus, M. Wuhr (MOL); B. Bratton, J. Gadd, A. Mayer, Q. Wang (LSI). Five hours of lecture, one threehour lab, one threehour precept, one required evening problem session.

ISC 234/CHM 234/COS 234/MOL 234/PHY 234: An Integrated, Quantitative Introduction to the Natural Sciences IIAn integrated, mathematically and computationally sophisticated introduction to physics and chemistry, drawing on examples from biological systems. This year long, four course sequence is a multidisciplinary course taught across multiple departments with the following faculty: T. Gregor, J. Shaevitz (PHY); O. Troyanskaya (COS); J. Akey (EEB); E. Wieschaus, M. Wuhr (MOL); B. Bratton, J. Gadd, A. Mayer, Q. Wang (LSI). Five hours of lecture, one threehour lab, one threehour precept, one required evening problem session.

PHY 235: Introduction to Research in PhysicsThis course will develop skills necessary to be successful in scientific research, such as programming, data analysis, and scientific writing and communication. Inclass activities will apply these skills to research questions about dark matter  what is its true nature and how can we discover it? Students will be introduced to a broad range of topics in cosmology and particle physics, and build proficiency with scientific computing in Python as well as machine learning methods. Guidance will be provided in identifying summer research opportunities and funding support.

PHY 304: Advanced ElectromagnetismElectromagnetic theory based on Maxwell's equations. Electrostatics, including boundary valve problems, dielectrics, and energy considerations leading to the Maxwell stress tensor. Magnetostatics and simple magnetic materials. Electromagnetic waves, retarded potentials and radiation. Familiarity with vector calculus is assumed.

AST 309/MAE 309/PHY 309/ENE 309: The Science of Fission and Fusion EnergyPower from the nucleus offers a lowcarbon source of electricity. However, fission power also carries significant risks: nuclear proliferation (North Korea, Iran), major accidents (Chernobyl, Fukushima), and waste disposal (Yucca Mountain). Fusion carries fewer risks, but the timetable for its commercialization is uncertain. We will delve into the scientific underpinnings of these two energy sources, so you can assess them for yourselves. A benefit of this course is that you will expand your scientific and computational skills by applying them to important realworld problems.

PHY 312: Experimental PhysicsStudents work in small groups and perform four experiments and an electronics lab. The list of experiments to choose from includes muon decay, beta decay, optical pumping, Mossbauer effect, holography, positron annihilation, electron diffraction, single photon interference, NMR, the Josephson effect, and an observation of galactic hydrogen. Weekly lectures will provide an overview of various experimental techniques and data analysis.

AST 401/PHY 401: CosmologyA general review of extragalactic astronomy and cosmology. Topics include the properties and nature of galaxies, clusters of galaxies, superclusters, the largescale structure of the universe, evidence for the existence of Dark Matter and Dark Energy, the expanding universe, the early universe, and the formation and evolution of structure.

PHY 403/MAT 493: Mathematical Methods of PhysicsMathematical methods and terminology which are essential for modern theoretical physics. These include some of the traditional techniques of mathematical analysis, but also more modern tools such as group theory, functional analysis, calculus of variations, nonlinear operator theory and differential geometry. Mathematical theories are not treated as ends in themselves; the goal is to show how mathematical tools are developed to solve physical problems.

ELE 456/PHY 456: Quantum OpticsSemiclassical field theory of lightmatter interactions. Quantum theory of light, vacuum fluctuations and photons. Quantum states and coherence properties of the EM field, photon counting and interferometry. Quantum theory of lightmatter interactions, JaynesCummigns (JC) model. Physical realizations of JC model, case study:circuit QED. Quantum theory of damping. Resonance fluorescence. Coupled quantum nonlinear systems.

MSE 504/CHM 560/PHY 512/CBE 520: Monte Carlo and Molecular Dynamics Simulation in Statistical Physics & Materials ScienceThis course examines methods for simulating matter at the atomistic scale with emphasis on the concepts that underline modern computational methodologies for classical manybody systems at or near statistical equilibrium. The course covers Monte Carlo and Molecular Dynamics (from basics to advanced techniques), and includes an introduction to abinitio Molecular Dynamics and the use of Machine Learning techniques in molecular simulations.

PHY 506/MSE 576: Advanced Quantum MechanicsThis is a one semester course in advanced quantum mechanics. The emphasis is on topics of current interest such as decoherence, entanglement, quantum computation and quantum information.

PHY 510: Advanced Quantum Field TheoryRelations between Quantum Field Theory and Statistical Mechanics, Renormalization Group, NonAbelian Gauge Theories, Asymptotic Freedom, Quantum Chromodynamics, Chiral Lagrangians, General Constraints on RG Flows.

PHY 521/MAT 597: Introduction to Mathematical PhysicsAn introduction to the statistical mechanic of classical and quantum spin systems. Among the topics to be discussed are phase transitions, emergent structures, critical phenomena, and scaling limits. The goal is to present the physics embodied in the subject along with mathematical methods, from probability and analysis, for rigorous results concerning the phenomena displayed by, and within, the subject's essential models.

PHY 529: HighEnergy PhysicsAn overview of modern elementary particle physics and the Standard Model. Specific topics include: detector physics, QED, EWK physics, CP violation, Higgs physics, and neutrino physics, with an emphasis on areas of current interest.

PHY 536/MSE 577: Advanced Condensed Matter Physics IICourse 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 nonabelian statistics, as well as new hightemperature superconductors. The techniques needed to deal with such systems, such as Chern numbers, topological band theory, Berry phases, conformal field theory, ChernSimons theory, tJ models, Gutzwiller wavefunctions, Hubbard models, are explained.

PHY 540: Selected Topics in Theoretical HighEnergy Physics: Strings, Black Holes and Gauge TheoriesDiscussion of the old and new methods of quantum field theory with applications to statistical mechanics, turbulence, black holes, dSspace.

ELE 560/PHY 565/MSE 556: Fundamentals of NanophotonicsIntroduction 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, finitedifference and boundaryelement methods, coupledmode theory, scattering formalism, and perturbation theory. The course explores application of these techniques to current research problems.

PHY 562: BiophysicsBiological systems are special because they function. We start by exploring the ability of the visual system to count single photons, where we meet many physics problems that organisms have to solve, at many scales. We then turn to candidate physical principles which might organize our understanding of the biological solutions to these problems. Examples are drawn from a wide range of systems, from single protein molecules to flocks of birds, and from bacteria to brains.

PHY 563: Physics of the Universe: Origin & EvolutionThe course is the first of a twosemester survey (along with PHY 564) of fundamental concepts which underly contemporary cosmology. The first semester focuses on the nearly homogeneous evolution of the universe including the standard big bang picture, inflationary cosmology, dark matter, and the possibility of presentday accelerated expansion. The second semester focuses on the late stages in the evolution of the universe, when gravity results in the growth of largescale structure, perturbations in the cosmic microwave background, gravitational lensing and other nonlinear phenomena.

PHY 581: Graduate Research InternshipThis course is for post generals students who are working on their thesis and nominated by their advisor. The student has been nominated and awarded an internship from another university, research institute, private organization or foundation. This internship allows the student to further their research on their thesis.