This is a full list of courses offered by the Department of Physics. The courses are listed by the term in which they are usually offered. Please note that some courses are not offered every year.
Physics Lecture Demo site can be found here.
Please select Fall 2020, Spring 2021, or Summer 2021 for that semester's offerings.
Fall Courses
Course Number

Course Title

Description

PHYS 0030  Basic Physics A 
Introduces mechanics of motion. Designed for concentrators in sciences other than physicsincluding premedical students. PHYS0030 applies algebra, geometry, trigonometry and analytic geometry. Students with a strong background in calculus should consider taking PHYS0050 or 0070 instead. Consists of lectures and laboratory.
Recommended: MATH0090 or MATH0100. 
PHYS 0040  Basic Physics B 
This course introduces the fundamental elements of electrical and magnetic phenomena, optics and wave optics, as well as selected modern physics topics. Materials are introduced through lectures, workshops and laboratory exercises. The topics covered include: the electric force, field and potentials, circuits and circuit elements, magnetic fields and magnetic phenomena, induction, electromagnetic waves, optics, interference and diffraction, waveparticle duality and the photoelectric effect, and radioactivity. The course is taught at a level that assumes familiarity with algebra and trigonometry, but no calculus. Students with a strong background in calculus should consider taking PHYS0060 instead.
Recommended: PHYS0030 or a strong background in highschool level mechanics. 
PHYS 0050  Foundations of Mechanics 
PHYS0050 provides a calculusbased introduction to classical Newtonian mechanics intended for science concentrators. Topics include: linear and rotational motion, Newton’s laws, conservation of energy and momentum, gravitation, fluids, oscillations, and simple harmonic motion. It emphasizes the conceptual understanding of the principles of physics and the development of the calculation skills needed to apply these principles to the physical universe. 
PHYS 0070  Analytical Mechanics 
Physics 0070 covers the topics of Newtonian Mechanics emphasizing fundamental principles underlying mechanical phenomena and developing mathematical approaches for applying them. As such, it introduces students to the general approach employed to describe physical phenomena even beyond mechanics. The presentation presumes preparation of a year or more of mechanics and a year of calculus. 
PHYS 0100 
In this class, students will explore how physics has affected our view of the cosmos, of ourselves as human beings, as well as our view of the relation of mathematical or physical structures to 'truth' or 'reality.’ 

PHYS 0150  The Jazz of Modern Physics 
This course, aimed at both students in the humanities and sciences, will explore the myriad surprising ways that jazz music is connected to modern physics. No background in physics, mathematics or music is required, as all of these foundational concepts and tools will be introduced. 
PHYS 0270  Astronomy and Astrophysics 
This course is a first course in astronomy and astrophysics, serving as the preferred gateway for students considering a physics concentration in the astronomy track. The course introduces the sky and the tools needed to study celestial objects, and ranges then from stars, galaxies, clusters and the largest scales, to the universe' evolution, and returns to solar system formation, exoplanets and SETI. Significant evening lab and problem sets are at a higher level than the outreach course PHYS0220, as is the associated assumed math and physics understanding. 
PHYS 0470  Electricity and Magnetism 
This class is an introduction to electrodynamics, the theory of electricity and magnetism. The course covers electrostatics (the electric field, electric potential, conductors and boundary value problems), special relativity (the fields of moving charges), magnetostatics (electric currents vector potential), electromagnetic induction and an introduction to Maxwell’s equations (including wave solutions) as well as electric and magnetic fields in matter. The course also provides a basic introduction to AC and DC circuits.
Prerequisites are multivariable calculus (MATH0180, MATH0200 or MATH0350), and either PHYS0040, PHYS0060 or PHYS0160. APMA0350 is also useful albeit not required. 
PHYS 0720  Methods of Mathematical Physics 
Linear algebra and vector spaces: inverses, determinants, unitary matrices, inner products, diagonalization, eigenvectors, eigenvalues. Fourier series and transforms. Ordinary differential equations: homogeneous and inhomogeneous first order and second order equations, power series methods. Partial differential equations: separation of variables, Green’s functions. Complex analysis: analytic functions, singularities, calculus of residues. More advanced topics.
Prerequisites: Multivariable Calculus 
PHYS 0790  Physics of Matter 
An introduction to the principles of quantum mechanics and their use in the description of the electronic, thermal, and optical properties of materials. Primarily intended as an advanced science course in the engineering curriculum. Open to others by permission.
Prerequisites: ENGN0040, APMA0340 or equivalents. 
PHYS 1270  Extragalactic Astronomy and HighEnergy Astrophysics 
This course is focused on the physics of galaxies and systems of galaxies, and on the processes that lead to the production of high energy photons, cosmic rays, and gravitational waves. Topics include structure of the Milky Way and other galaxies, the physics underlying their appearance and evolution, galaxy interactions and active galactic nuclei, particle acceleration mechanisms, synchrotron, freefree and Compton radiation, and sources of neutrinos and gravitational waves. PHYS0470 must, at a minimum, be taken to concurrently, and PHYS0270 or instructor’s permission is required. In addition, mathematics through MATH0200 or MATH0350 is strongly encouraged. 
PHYS 1280  Introduction to Cosmology 
This course covers modern relativistic cosmology and the theory of structure formation through the observations and theoretical framework of special and general relativity. Topics covered include cosmological observations of the expansion of the Universe, general relativity, FriedmannRobertsonWalkerLemaitre cosmologies, the thermal evolution of the Universe, primordial nucleosynthesis, recombination and the Cosmic Microwave Background, structure formation and growth of perturbations, and modern measurements of cosmological parameters.
Prerequisites: PHYS0160 or the equivalent, and mathematics at the level of MATH0190. 
PHYS 1410  Quantum Mechanics A 
The necessary framework for Quantum mechanics is developed carefully and used to link and explain both the older and newer experimental phenomena of modern physics. This is the first of a twosemester sequence. In P1410, the main focus is on 1D quantum physics, leaving 3D to P1420. The course has been taught in recent years following the approach of Sakurai, but at a juniorlevel, e.g., adopting the text by Townsend. The mathematics that we will use includes basic calculus. Linear transformations on complex vector space serve as essential tools for describing quantum physics.
Prerequisites: PHYS 0500 and 0560; and MATH 0520, 0540 or PHYS 0720; or approved equivalents. 
PHYS 1510  Advanced Electromagnetic Theory 
Building on the foundation of PHYS0470, this course applies Maxwell’s equations to study some of the key phenomena and applications of timedependent electromagnetism: electromagnetic waves, radiation, and special relativity.
Prerequisites: Include lower level electromagnetic theory, vector calculus and basic differential equations. 
PHYS 1530  Thermodynamics and Statistical Mechanics 
The course aims to help physics students learn basic of thermodynamics and develop microscopic understanding of it based on elementary statistical mechanics. That is, the concepts of thermodynamics and statistical mechanics are introduced from a unified view. Students will develop understanding and importance of quantities such as entropy, negative temperature, and behavior of quantum gases. The emphasis is on realworld applications.
Prerequisites: PHYS070; PHYS0160; PHYS0500 
PHYS 1610  Biological Physics 
Students in this course will develop an understanding of the physical structures and principles that underlie biology and medicine. We will introduce the structure and function of cells, proteins, nucleotides, and membranes will be introduced. We will learn the fundamental physical concepts that govern the behavior of those structures, including thermodynamics, statistical mechanics, electrostatics in solution, fluid mechanics, chemical equilibria, and reaction rates. We will cover a variety of important mechanisms behind cellular functions, including molecular motors, nerve signals, and regulatory pathways. We will also discuss biophysical techniques, including electrophoresis, microscopy, and electrophysiology. 
PHYS 1720  Methods of Mathematical Physics 
Linear algebra and vector spaces: inverses, determinants, unitary matrices, inner products, diagonalization, eigenvectors, eigenvalues. Fourier series and transforms. Ordinary differential equations: homogeneous and inhomogeneous first order and second order equations, power series methods. Partial differential equations: separation of variables, Green’s functions. Complex analysis: analytic functions, singularities, calculus of residues. More advanced topics. Prerequisites: multivariable calculus 
PHYS 1980  Undergraduate Research in Physics  Experimental or theoretical research under the supervision of a physics faculty member. There is a section number for each professor. 
PHYS 1990  Senior Conference  This class involves close interaction with a physics faculty member such as a reading course or supervised research. There is a section number for each professor. 
PHYS 2010  Techniques in Experimental Physics 
The course aims to help PhD and MSc students learn experimental methods and develop experimental and scientific communication abilities in major areas of modern physics. We discuss the application of the scientific method. Four major experiments are conducted during the semester. Students develop skills including observing and measuring physical phenomena, analyzing and interpreting data (primarily using Python notebooks) clearly identifying and including possible sources of errors, and also reaching conclusions and publishing experimental results. Students also learn scientific presentation skills and how to read published results and references with appropriate judgment.
Prerequisites: Note that this course is intended for PhD and MSc students. Undergraduates do not typically have sufficient time available in their schedule to take this course. 
PHYS 2020  Mathematical Methods of Engineers and Physicists 
An introduction to methods of mathematical analysis in physical science and engineering. This course focuses on analytical techniques in mathematics. It includes series solution for differential equations, Fourier series and Fourier transform for solving partial differential equations, analytical maximum and minimum problems, calculus of variations and complex functions, and complex calculus. 
PHYS 2030  Classical Theoretical Physics I 
Students in the course will learn both the foundations of classical mechanics, including Lagrangian and Hamiltonian formulations, as well as applications of classical mechanics to physically important and illustrative systems including orbital motion, motion in rotating frames, chaos, waves, fluid dynamics and solitons.
Prerequisites: Classical mechanics at the undergraduate level, including Lagrangian mechanics. Multivariable calculus, and linear ordinary and partial differential equations. Willingness and ability to learn and use Python for some simple computational simulations. 
PHYS 2050  Quantum Mechanics 
Wave description of particles. Wave mechanics and the Schrodinger equation. Fundamental principles and postulates. Symmetry transformations. Time evolution and stationary states. Theory of angular momentum. Advanced topics: Quantum information, Superfluidity, and other topics if time permits.
Prerequisites: Knowledge of basic undergraduate Hamiltonian Mechanics and Electromagnetism as well as a comfortable familiarity with standard Modern Physics. 
PHYS 2070  Advanced Quantum Mechanics 
The course on Advanced Quantum Mechanics will deal with advanced quantum mechanical concepts and their applications. This is based on the use Feynman’s path integral quantization method which will be reviewed at an advanced level. The techniques developed will involve Feynman diagrammatics, Semiclassical approximations and Nonperturbative methods. A particular attention is paid to fermionic systems with a detailed discussion of Quantization for Dirac, Majorana and Supersymmetric particles. And Grassman integration. Advanced Quantum Mechanics also provides the prerequisite knowledge for the course on Quantum Field Theory (PHYS2300) and these two courses are organized as a sequence. The course involves a biweekly set of lectures, related HW sets, weekly discussion meetings and a final study where each student selects a topic of their research interest. The prerequisites are Math Methods and Quantum Mechanics (at advanced undergraduate level). 1. Feynman Path Integral Quantization; Correlation Functions, Semiclassical methods, Feynman Diagrams, Summing over Topologies*
2. Relativistic Systems; Sum over Relativistic Paths, KleinGordon Equation, Interacting Feynman Diagrams
3.Fermionic Systems; Dirac and Majorana Equations, Supersymmetry
4. Quantum Electrodynamics; Divergences, Renormalization 
PHYS 2320  Quantum Theory of Fields II 
Advanced methods in quantum field theory. The course focuses on nonperturbative approaches to quantum field theory, including conformal field theory, large N methods, Wilsonian renormalization, solitons, instantons and other topological defects. 
PHYS 2410  Solid State Physics I 
The course provides an introduction to Solid State physics. We discuss free electrons, band theory, crystalline symmetries, semiconductors, magnetism and topological band theory. Students are expected to be familiar with quantum mechanics and statistical mechanics. 
PHYS 2430  Quantum Many Body Theory 
This is an advanced graduate course on many body quantum theory. The subject is extremely broad and the exact topics will be chosen according to the interests of the class. The topics can include the theory of topological insulators and the general theory of interacting quantum particles.
Prerequisites: A working knowledge of quantum mechanics and statistical mechanics. 
PHYS 2470  Advanced Statistical Mechanics 
Condensed matter systems provide a framework to describe and to determine what will happen to a large group of interacting particles. Probably the most important unifying principle is that the macroscopic properties are governed by conservation laws and broken symmetries. This course will discuss the consequences of this approach using mean field theories and, when fluctuations are important, a method known as the renormalization group. We will learn about this using Wilson’s epsilon expansion to discuss phase transitions near 4 dimensions and the method due to Kosterlitz, Halperin and Nelson to discuss phase transitions in a 2D film of superfluid helium and in a 2D superconducting film. 
PHYS 2630  Biological Physics 
Students in this course will develop an understanding of the physical structures and principles that underlie biology and medicine. We will introduce the structure and function of cells, proteins, nucleotides, and membranes will be introduced. We will learn the fundamental physical concepts that govern the behavior of those structures, including thermodynamics, statistical mechanics, electrostatics in solution, fluid mechanics, chemical equilibria, and reaction rates. We will cover a variety of important mechanisms behind cellular functions, including molecular motors, nerve signals, and regulatory pathways. We will also discuss biophysical techniques, including electrophoresis, microscopy, and electrophysiology. 
PHYS 2710  Seminar in Research Topics  This course involves learning advanced material of current research interest under the supervision of a physics faculty member. There is a section number for each professor. 
PHYS 2970  Preliminary Examination Preparation  Ph.D. students are required to pass the preliminary exam. The exam focuses on an advanced topic of current research interest. This class can be taken to prepare for the exam. 
PHYS 2980  Research in Physics  Experimental or theoretical research under the supervision of a faculty advisor. There is a section number for each professor. 
PHYS 2990  Thesis Preparation  Thesis defense culminates the career of a graduate student. A thesis describes original research performed by the degree candidate. This class can be taken to prepare one's thesis. 
Spring Courses
Course Number

Course Title

Description

PHYS 0030  Basic Physics A 
Introduces mechanics of motion. Designed for concentrators in sciences other than physicsincluding premedical students. PHYS0030 applies algebra, geometry, trigonometry and analytic geometry. Students with a strong background in calculus should consider taking PHYS0050 or PHYS0070 instead. Consists of lectures and laboratory.
Recommended: MATH0090 or MATH0100. 
PHYS 0040  Basic Physics B 
This course introduces the fundamental elements of electrical and magnetic phenomena, optics and wave optics, as well as selected modern physics topics. Materials are introduced through lectures, workshops and laboratory exercises. The topics covered include: the electric force, field and potentials, circuits and circuit elements, magnetic fields and magnetic phenomena, induction, electromagnetic waves, optics, interference and diffraction, waveparticle duality and the photoelectric effect, and radioactivity. The course is taught at a level that assumes familiarity with algebra and trigonometry, but no calculus. Students with a strong background in calculus should consider taking PHYS0060 instead. PHYS0030 or a strong background in highschool level mechanics is strongly recommended. 
PHYS 0060  Foundations of Electromagnetism and Modern Physics 
This course provides a calculusbased introduction to the principles and phenomena of electricity, magnetism, optics, and the concepts of modern physics. It is intended for science concentrators and emphasizes the conceptual understanding of the principles of physics and the development of the calculation skills needed to apply these principles to the physical universe.
Prerequisite: PHYS0050. 
PHYS 0112  Alien Worlds: Search for ExtraSolar Planets and Extraterrestrial Life 
The course will cover the significant developments in the detection and characterization
Over the last 30 years there has been a revolution in our understanding of planets. 
PHYS 0114  The Science and Technology of Energy 
This course will introduce students to the fundamental laws that govern energy and its use. Physical concepts will be discussed in the context of important technological applications of energy. The physical concepts include mechanical energy, thermodynamics, the Carnot cycle, electricity and magnetism, quantum mechanics, and nuclear physics. The technological applications include wind, hydro, and geothermal energy, engines and fuels, electrical energy transmission and storage, solar energy and photovoltaics, nuclear reactors, and biomass. 
PHYS 0120  Adventures in Nanoworld 
This class is a first year seminar about nanoscience and quantum information. Richard Feynman famously said, “There’s plenty of room at the bottom,” about the possibility to build molecularsize machines operating according to Quantum Mechanics. Scientists are now learning the art. In this seminar, we use basic physics and simple mathematical models to understand the phenomena and materials in the nanoworld, from artificial atoms and quantum wires to the quantum mechanics of information. We visit multiple laboratories in Barus & Holley building and beyond. The class does not require any science background. 
PHYS 0160  Introduction to Relativity and Quantum Physics 
This course is a mathematically rigorous introduction to special relativity, waves, and quantum mechanics. It is the second in a 3semester sequence for those seeking the strongest foundation in physics and is also suitable for students better served by an introduction to modern physics rather than electromagnetism.
Prerequisites: PHYS0050 or PHYS0070 (note that neither ENGN0030 nor AP Physics is adequate). MATH0180 or MATH0200 is recommended. 
PHYS 0220  Astronomy 
A conceptual introduction to basic ideas and observations in astronomy. Topics include: the properties of light; the observed sky; the historical development of astronomical ideas; the properties and lifecycles of stars; black holes; galaxies; and the evolution of the Universe as a whole ("cosmology"). Particular emphasis is placed on the physical laws governing astronomical objects and systems. The material is covered at a more basic level than PHYS0270. Basic algebra and trigonometry will be used, but no experience with calculus is necessary. The course includes evening laboratory sessions. 
PHYS 0500  Advanced Classical Mechanics 
We will cover classical mechanics at a more sophisticated level and introduce new framework, i.e., Lagrangian and Hamiltonian mechanics, that could simplify solving mechanics problems and will be useful later in other advanced physics classes such as quantum mechanics.
Prerequisites: Lower level mechanics, calculus and basic knowledge of solving differential equations, in particular, second order differential equations with constant coefficients. 
PHYS 0560  Experiments in Modern Physics 
This course teaches quantum mechanics through experiment, provides insight into modern physics and some important historical background. In addition, this course develops laboratory and data analysis skills, exposes students to relatively modern experimental research techniques, and gives students feeling for how experiments are designed. It is a writing course that develops scientific writing skills. At the same time, the presentation component develops oral communication skills.
Prerequisites: Undergraduate level PHYS0070 Minimum Grade of S and Undergraduate level PHYS0160 Minimum Grade of S or Undergraduate level PHYS0050 Minimum Grade of S and Undergraduate level PHYS0060 Minimum Grade of S and Undergraduate level PHYS0470 Minimum Grade of S. 
PHYS 1100  Introduction to General Relativity 
Review of Special Relativity. The Formalism of Tensors. Einstein’s Equations. The Schwarzschild Solution. Experimental Tests of General Relativity. More General Black Holes. Gravitational Waves. More advanced topics.
Prerequisites: PHYS0470, PHYS0500 
PHYS 1170  Introduction to Nuclear and High Energy Physics 
Phys 1170 provides a qualitative introduction to modern elementary particle physics for undergraduate students. The focus of the course is the standard model of particle physics, which has been remarkably successful in describing the properties and behavior of elementary particles and fields, fundamental building blocks of our Universe. Topics of current interest, new developments, and outstanding problems will also be highlighted. A brief overview of experimental methods, such as methods of detecting elementary particles, detector and accelerator design, will be given. To take this course, you need to take at least two semesters of quantum mechanics: first semester of quantum mechanics PHYS 1410 or equivalent; second semester of quantum mechanics 1420 could be taken concurrently. 
PHYS 1250  Stellar Structure and the Interstellar Medium 
This course is an introduction to the astrophysics of stars: their structure, formation, and evolution. Because stars do not exist in a vacuum (just close to it!), we will also spend time discussing important considerations regarding the gas between the stars (the interstellar medium) and its relation to stars, star formation, and evolution. Understanding how stars work is essential to understanding the Universe. Together with PH1270 (Extragalactic Astrophysics) and PH1280 (Cosmology), this course is part of a sequence aimed at covering all of astrophysics.
Topics Covered: Hydrostatic Equilibrium; Stellar Structure; Radiative Transfer in stars; Stellar Nucleosynthesis; Heat transport; Atomic and ionic opacities; Stellar Atmospheres;Stellar evolution; Stellar instabilities; Supernovae and Planetary Nebulae; Compact Objects; The structure of the ISM; The ISM energy cycle; ISM Chemistry; Star formation; ISM Dynamics; Protostars; 
PHYS 1420  Quantum Mechanics B 
This course represents the second part of a comprehensive course on Quantum Mechanics. It deals with nontrivial quantum mechanical concepts and applications. Feynman’s path integral quantization is reviewed first as a complement to the standard operator quantization of Heisenberg and Schrodinger. The equivalence of the three methods is demonstrated. This is followed with study of Symmetries in one and twobody systems. Angular momenta and the spectra of Hydrogen and Helium are discussed in detail. Perturbation theory techniques are formulated and a study of Scattering is given. Discussion of Identical Particles and Statistics concludes the course. 
PHYS 1560  Modern Physics Laboratory 
This course provides handson experience with some of the experimental techniques of modern physics and, in the process, to deepen the understanding of the relations between experiment and theory. The students will do six experiments on phenomena whose discoveries led to major advances in physics. For many of the experiments, you would have won a Nobel Prize if you had been the first to do it.
Prerequisites: PHYS0470, PHYS0500 and PHYS0560; and MATH0520, MATH0540 or PHYS0720; or approved equivalents. WRIT 
PHYS 1600  Computational Physics 
An introduction to scientific computing applied to physical science problems. This course is a general survey of numerical methods with an emphasis on the use of those methods to better understand physical systems. Topics include numerical solution of differential equations, chaotic systems, statistical modeling, molecular dynamics, and Monte Carlo simulations.
Prerequisites: PHYS0070, PHYS0160 (or PHYS0050, PHYS0060) and PHYS2070; MATH0180 and MATH0200 or MATH0350. 
PHYS 1931S  Medical Physics 
Medical Physics is an applied branch of physics concerned with the application of the concepts and methods to the diagnosis and treatment of human disease. It allies with medical electronics, bioengineering, health physics. Students will familiarize themselves with major texts and literature of medical physics and are exposed to imaging and treatment techniques and quality control procedures. Students will acquire physical and scientific background to pose questions and solve problems in medical physics. Topics include Imaging imaging metrics, ionizing radiation, radiation safety, radioactivity, computed tomography, nuclear medicine, ultrasound, magnetic resonance imaging, and Radiation Therapy delivery systems, treatment planning, brachytherapy, image guidance.
Prerequisites: PHYS 0030 and (ENGN 0930L or 1930L) or a minimum score of WAIVE in 'Graduate Student PreReq'. 
PHYS 1970C  String Theory for Undergraduates 
An introduction to string theory at an upper undergraduate level. Topics covered include special relativity, symmetries and Noether's theorem, nonrelativistic strings, relativistic particles and strings, string quantization and gauge fixing, electrodynamics in various dimensions, supersymmetry, and selected advanced topics.
Prerequisite PHYS0470 and corequisite PHYS1410. 
PHYS 1970D 
Statistical Physics in Inference and (Deep) Learning  In this course students will explore the statistical physics principles underlying probabilistic inference and various neural network architectures. The course is designed to bridge the gap between approaches to teaching modern statistical physics that are either purely theoretical, or focus largely on its applications in data analysis. To that end, there will be a conscious effort to study topics such as: MaxEnt models, variational methods, Hebb’s rule, biasvariance tradeoff, regularization and others with analytical derivations as well as workedout code examples in Jupyter notebooks. The course is aimed at both undergraduate and graduate students; while prior knowledge of statistical physics and coding would be helpful, the course is designed to be selfcontained and all relevant concepts will be reviewed before discussing their applications. 
PHYS 1970G 
Topological Matters 
This is a course on topology in physics which does a minimal amount of elementary topology. The major topic is the theory underlying the recently discovered materials called topological insulators and what makes them different from ordinary or trivial insulators. The experimental situation is also reviewed.
Prerequisites: Some knowledge and interest in physics and mathematics. No specific courses are required but a reasonably flexible mind prepared to listen to strange new ideas is essential. 
PHYS 1980  Undergraduate Research in Physics  Experimental or theoretical research under the supervision of a physics faculty member. There is a section number for each professor. 
PHYS 1990  Senior Conference Course  This class involves close interaction with a physics faculty member such as a reading course or supervised research. There is a section number for each professor. 
PHYS 2010  Techniques in Experimental Physics 
The course aims to help PhD and MSc students learn experimental methods and develop experimental and scientific communication abilities in major areas of modern physics. We discuss the application of the scientific method. Four major experiments are conducted during the semester. Students develop skills including observing and measuring physical phenomena, analyzing and interpreting data (primarily using Python notebooks) clearly identifying and including possible sources of errors, and also reaching conclusions and publishing experimental results. Students also learn scientific presentation skills and how to read published results and references with appropriate judgment.
Prerequisites: None (Note that this course is intended for PhD and MSc students. Undergraduates do not typically have sufficient time available in their schedule to take this course) 
PHYS 2040  Classical Theoretical Physics II 
Electrostatics of conductors and dielectrics. Boundary value problems. Magnetostatics. Maxwell’s equations and macroscopic electromagnetism. Conservation laws in electrodynamics. Electromagnetic waves and wave propagation. Special relativity. Relativistic particles and electromagnetic fields. Electromagnetic radiation. Other topics if time permits.
Prerequisites: PHYS2030 and knowledge of basic undergraduate Electromagnetism. 
PHYS 2060  Quantum Mechanics II 
The second semester of a rigorous fullyear graduate quantum mechanics course. Two areas will be emphasized: (1) Essential tools of quantum mechanics, including addition of angular momentum, perturbation and scattering theory, and an introduction to relativistic quantum mechanics. (2) Key results of quantum mechanics such as the solution of the hydrogen atom, Fermi’s golden rule, and the spontaneous decay of excited states of atoms.
Prerequisites: Quantum mechanics at the undergraduate level, and at the level of PHYS2050. Multivariable calculus, and linear ordinary and partial differential equations, linear algebra. Willingness and ability to learn and use Python for some simple computational quantum science. 
PHYS 2100  General Relativity and Cosmology 
This graduate course in general relativity and cosmology will cover the principles of Einstein's general theory of relativity, differential geometry, the first order formulation of general relativity (EinsteinCartan theory), experimental tests of general relativity and black holes. The second half of the course will focus on relativistic cosmology with a focus on its interface with field theory. 
PHYS 2140  Statistical Mechanics 
This course provides a graduate level introduction to the foundations of classical and quantum statistical mechanics with applications to ideal gases (including the magnetic properties of electron gases and BoseEinstein condensation), interacting systems, and phase transitions, including an introduction to the renormalization group and scaling at continuous phase transitions.
Prerequisites: thermodynamics, statistical mechanics and quantum mechanics. 
PHYS 2170  Introduction to Nuclear and High Energy Physics 
This course provides a comprehensive introduction to modern elementary particle physics for graduate and senior undergraduate students. The focus of the course is the detailed description of the Standard Model of particle physics, which has proven remarkably successful in describing the properties and behavior of elementary particles and fields. Topics of current interest, new developments, and outstanding problems are be highlighted. Special attention is devoted to experimental methods, which resulted in most significant discoveries in particle physics.
Prerequisites: Introductory Quantum Mechanics (PHYS0560, or PHYS1410, or equivalent). 
PHYS 2280  Astrophysics and Cosmology 
This class is a graduate course on the bigbang cosmological model. The course covers three distinct areas: The homogeneous universe (kinematics, dynamics, big bang nucleosynthesis, production of relic particles, baryogenesis/leptogenesis), the inhomogeneous universe (inflation, linear perturbation theory of the growth of fluctuations, cosmic microwave background, large scale structure, statistical measures), and nonlinear evolution of collisionless fluids (spherical collapse, excursion sets, the Nbody problem).
Prerequisites are graduate courses in electrodynamics, classical, quantum and statistical mechanics as well as general relativity. A basic knowledge of the Standard Model of particle physics is assumed as well as computational skills that involve the solution of coupled partial differential equations. 
PHYS 2300  Quantum Theory of Fields I 
An introduction to the quantum theory of fields. Topics include scalar field theory, quantum electrodynamics, path integrals, perturbation theory and an introduction to renormalization. 
PHYS 2340  Group Theory 
This course aims to provide a basic introduction to the elements of group theory most commonly encountered in physics, including discrete groups, Lie groups and Lie algebras. The course will place a particular emphasis on characters and the representation theory of Lie algebras. Students should have a solid background in linear algebra, and some exposure to quantum mechanics may be helpful. 
PHYS 2420  Solid State Physics II 
Advanced topics in solid state physics. The course concentrates on collective phenomena and puts heavy emphasis on the concept of quasiparticles in condensed matter physics. We cover kinetic theory of gases, Fermi liquid theory, superfluids and superconductors. Students are expected to be familiar with the basic solid state physics and with quantum mechanics. 
PHYS 2600  Computational Physics 
An introduction to scientific computing applied to physical science problems. This course is a general survey of numerical methods with an emphasis on the use of those methods to better understand physical systems. Topics include numerical solution of differential equations, chaotic systems, statistical modeling, molecular dynamics, and Monte Carlo simulations.
Prerequisites: PHYS0070, PHYS0160 (or PHYS0050, PHYS0060) and PHYS2070; MATH0180 and MATH0200 or MATH0350. 
PHYS 2620H 
Quantum Computation, Information, and Sensing

Quantum physics has changed our lives. Thanks to the invention of the transistor, every electronic device in your hand is an example of a quantum physics application. A classical computer has the potential to become the most important application and revolutionize science and technology. It would help us gain enormous computational power that humans could not achieve otherwise. Indeed, quantum physics also sets a hard limit for the current silicon technology. Quantum tunneling is present in nanoscale transistors and undermines Moore’s law.
It seems that we live at the time of the second quantum revolution when quantum physics emerges as the key to unlock the unimaginable power of quantum computing and quantum information. Due to the probabilistic nature of quantum mechanics, quantum information cannot be precisely copied. This is gamechanging in cryptography; quantum keys are uhackable due to the laws of nature. Quantum parallelism and quantum interference provide a fundamental basis for quantum computation and allow achieving previously impossible tasks. This course will start with a review of the basic concepts of quantum mechanics, which provide a physical interpretation of the quantum world and quantum measurement. We will also introduce quantum circuits, important quantum algorithms (DeutschJozsa, Grover, Quantum Fourier Transformation, etc.), and quantum protocols (BB84, quantum teleportation, etc.). The implementation of quantum algorithms on actual quantum computers (IBM QISKit) and quantum simulators will practically help students learn quantum coding. 
PHYS 2620J 
Statistical Physics in Inference and (Deep) Learning  In this course, students will explore the statistical physics principles underlying probabilistic inference and various neural network architectures. The course is designed to bridge the gap between approaches to teaching modern statistical physics that are either purely theoretical, or focus largely on its applications in data analysis. To that end, there will be a conscious effort to study topics such as: MaxEnt models, variational methods, Hebb’s rule, biasvariance tradeoff, regularization and others with analytical derivations as well as workedout code examples in Jupyter notebooks. The course is aimed at both undergraduate and graduate students; while prior knowledge of statistical physics and coding would be helpful, the course is designed to be selfcontained and all relevant concepts will be reviewed before discussing their applications. 
PHYS 2711  Seminar in Research Topics  This course involves learning advanced material of current research interest under the supervision of a physics faculty member. There is a section number for each professor. 
PHYS 2970  Preliminary Examination Preparation  Ph.D. students are required to pass the preliminary exam. The exam focuses on an advanced topic of current research interest. This class can be taken to prepare for the exam. 
PHYS 2981  Research in Physics  Experimental or theoretical research under the supervision of a faculty advisor. There is a section number for each professor. 
PHYS 2990  Thesis Preparation 
Thesis defense culminates the career of a graduate student. A thesis describes original research performed by the degree candidate. This class can be taken to prepare one's thesis.
