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Course 8: Physics 
  8.018.299 plus UROP and THU    8.3008.999 plus THG   
Graduate Subjects8.309 Classical Mechanics III
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(Subject meets with 8.09) Prereq: None Units: 408 Lecture: TR9.3011 (3370) Recitation: F1 (26328) or F2 (26328) +final Covers Lagrangian and Hamiltonian mechanics, systems with constraints, rigid body dynamics, vibrations, central forces, HamiltonJacobi theory, actionangle variables, perturbation theory, and continuous systems. Provides an introduction to ideal and viscous fluid mechanics, including turbulence, as well as an introduction to nonlinear dynamics, including chaos. Students taking graduate version complete different assignments. S. Millholland Textbooks (Spring 2024) 8.311 Electromagnetic Theory I
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Prereq: 8.07 Units: 408 Lecture: MW10.3012 (5217) Recitation: T11 (4265) Basic principles of electromagnetism: experimental basis, electrostatics, magnetic fields of steady currents, motional emf and electromagnetic induction, Maxwell's equations, propagation and radiation of electromagnetic waves, electric and magnetic properties of matter, and conservation laws. Subject uses appropriate mathematics but emphasizes physical phenomena and principles. L. Fu No textbook information available 8.315[J] Mathematical Methods in Nanophotonics
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(Same subject as 18.369[J]) Prereq: 8.07, 18.303, or permission of instructor Units: 309 Lecture: MWF2 (2131) Highlevel approaches to understanding complex optical media, structured on the scale of the wavelength, that are not generally analytically soluable. The basis for understanding optical phenomena such as photonic crystals and band gaps, anomalous diffraction, mechanisms for optical confinement, optical fibers (new and old), nonlinearities, and integrated optical devices. Methods covered include linear algebra and eigensystems for Maxwell's equations, symmetry groups and representation theory, Bloch's theorem, numerical eigensolver methods, time and frequencydomain computation, perturbation theory, and coupledmode theories. S. G. Johnson Textbooks (Spring 2024) 8.316 Data Science in Physics
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(Subject meets with 8.16) Prereq: 8.04 and (6.100A, 6.100B, or permission of instructor) Units: 309 Lecture: MW2.304 (36112) Aims to present modern computational methods by providing realistic, contemporary examples of how these computational methods apply to physics research. Designed around research modules in which each module provides experience with a specific scientific challenge. Modules include: analyzing LIGO open data; measuring electroweak boson to quark decays; understanding the cosmic microwave background; and lattice QCD/Ising model. Experience in Python helpful but not required. Lectures are viewed outside of class; inclass time is dedicated to problemsolving and discussion. Students taking graduate version complete additional assignments. P. Harris Textbooks (Spring 2024) 8.321 Quantum Theory I
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Prereq: 8.05 Units: 408 A twoterm subject on quantum theory, stressing principles: uncertainty relation, observables, eigenstates, eigenvalues, probabilities of the results of measurement, transformation theory, equations of motion, and constants of motion. Symmetry in quantum mechanics, representations of symmetry groups. Variational and perturbation approximations. Systems of identical particles and applications. Timedependent perturbation theory. Scattering theory: phase shifts, Born approximation. The quantum theory of radiation. Second quantization and manybody theory. Relativistic quantum mechanics of one electron. H. Liu 8.322 Quantum Theory II
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Prereq: 8.07 and 8.321 Units: 408 Lecture: MW12.30 (26168) Recitation: F1 (26168) A twoterm subject on quantum theory, stressing principles: uncertainty relation, observables, eigenstates, eigenvalues, probabilities of the results of measurement, transformation theory, equations of motion, and constants of motion. Symmetry in quantum mechanics, representations of symmetry groups. Variational and perturbation approximations. Systems of identical particles and applications. Timedependent perturbation theory. Scattering theory: phase shifts, Born approximation. The quantum theory of radiation. Second quantization and manybody theory. Relativistic quantum mechanics of one electron. H. Liu No textbook information available 8.323 Relativistic Quantum Field Theory I
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Prereq: 8.321 Units: 408 Lecture: MW910.30 (32155) Recitation: F9.30 (4163) A oneterm selfcontained subject in quantum field theory. Concepts and basic techniques are developed through applications in elementary particle physics, and condensed matter physics. Topics: classical field theory, symmetries, and Noether's theorem. Quantization of scalar fields, spin fields, and Gauge bosons. Feynman graphs, analytic properties of amplitudes and unitarity of the Smatrix. Calculations in quantum electrodynamics (QED). Introduction to renormalization. D. Harlow Textbooks (Spring 2024) 8.324 Relativistic Quantum Field Theory II
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Prereq: 8.322 and 8.323 Units: 408 The second term of the quantum field theory sequence. Develops in depth some of the topics discussed in 8.323 and introduces some advanced material. Topics: perturbation theory and Feynman diagrams, scattering theory, Quantum Electrodynamics, one loop renormalization, quantization of nonabelian gauge theories, the Standard Model of particle physics, other topics. W. Taylor 8.325 Relativistic Quantum Field Theory III
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Prereq: 8.324 Units: 408 Lecture: TR910.30 (4261) Recitation: F10 (26210) The third and last term of the quantum field theory sequence. Its aim is the proper theoretical discussion of the physics of the standard model. Topics: quantum chromodynamics; Higgs phenomenon and a description of the standard model; deepinelastic scattering and structure functions; basics of lattice gauge theory; operator products and effective theories; detailed structure of the standard model; spontaneously broken gauge theory and its quantization; instantons and thetavacua; topological defects; introduction to supersymmetry. W. Taylor No textbook information available 8.333 Statistical Mechanics I
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Prereq: 8.044 and 8.05 Units: 408 First part of a twosubject sequence on statistical mechanics. Examines the laws of thermodynamics and the concepts of temperature, work, heat, and entropy. Postulates of classical statistical mechanics, microcanonical, canonical, and grand canonical distributions; applications to lattice vibrations, ideal gas, photon gas. Quantum statistical mechanics; Fermi and Bose systems. Interacting systems: cluster expansions, van der Waal's gas, and meanfield theory. J. Tailleur 8.334 Statistical Mechanics II
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Prereq: 8.333 Units: 408 Lecture: MW2.304 (3370) Recitation: F2.304 (3370) Second part of a twosubject sequence on statistical mechanics. Explores topics from modern statistical mechanics: the hydrodynamic limit and classical field theories. Phase transitions and broken symmetries: universality, correlation functions, and scaling theory. The renormalization approach to collective phenomena. Dynamic critical behavior. Random systems. M. Kardar Textbooks (Spring 2024) 8.351[J] Classical Mechanics: A Computational Approach
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(Same subject as 6.5160[J], 12.620[J]) Prereq: Physics I (GIR), 18.03, and permission of instructor Units: 336 Classical mechanics in a computational framework, Lagrangian formulation, action, variational principles, and Hamilton's principle. Conserved quantities, Hamiltonian formulation, surfaces of section, chaos, and Liouville's theorem. Poincaré integral invariants, PoincaréBirkhoff and KAM theorems. Invariant curves and cantori. Nonlinear resonances, resonance overlap and transition to chaos. Symplectic integration. Adiabatic invariants. Applications to simple physical systems and solar system dynamics. Extensive use of computation to capture methods, for simulation, and for symbolic analysis. Programming experience required. J. Wisdom, G. J. Sussman 8.370[J] Quantum Computation
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(Same subject as 2.111[J], 6.6410[J], 18.435[J]) Prereq: 8.05, 18.06, 18.700, 18.701, or 18.C06 Units: 309 Provides an introduction to the theory and practice of quantum computation. Topics covered: physics of information processing; quantum algorithms including the factoring algorithm and Grover's search algorithm; quantum error correction; quantum communication and cryptography. Knowledge of quantum mechanics helpful but not required. A. Harrow 8.371[J] Quantum Information Science
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(Same subject as 6.6420[J], 18.436[J]) Prereq: 18.435 Units: 309 Lecture: MW9.3011 (37212) Examines quantum computation and quantum information. Topics include quantum circuits, the quantum Fourier transform and search algorithms, the quantum operations formalism, quantum error correction, CalderbankShorSteane and stabilizer codes, fault tolerant quantum computation, quantum data compression, quantum entanglement, capacity of quantum channels, and quantum cryptography and the proof of its security. Prior knowledge of quantum mechanics required. A. Harrow Textbooks (Spring 2024) 8.372 Quantum Information Science III
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Prereq: 8.371 Units: 309 Third subject in the Quantum Information Science (QIS) sequence, building on 8.370 and 8.371. Further explores core topics in quantum information science, such as quantum information theory, errorcorrection, physical implementations, algorithms, cryptography, and complexity. Draws connections between QIS and related fields, such as manybody physics, and applications such as sensing. Staff 8.381, 8.382 Selected Topics in Theoretical Physics
(, )Not offered regularly; consult department Prereq: Permission of instructor Units: 309 Topics of current interest in theoretical physics, varying from year to year. Subject not routinely offered; given when sufficient interest is indicated. Staff 8.391 PreThesis Research
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Prereq: Permission of instructor Units arranged [P/D/F] Advanced problems in any area of experimental or theoretical physics, with assigned reading and consultations. Chakrabarty, Deepto 8.392 PreThesis Research
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Prereq: Permission of instructor Units arranged [P/D/F] TBA. Advanced problems in any area of experimental or theoretical physics, with assigned reading and consultations. Spring: Chakrabarty, Deepto Summer: S. Larkin No required or recommended textbooks 8.395[J] Teaching CollegeLevel Science and Engineering
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(Same subject as 1.95[J], 5.95[J], 7.59[J], 18.094[J]) (Subject meets with 2.978) Prereq: None Units: 202 [P/D/F] Participatory seminar focuses on the knowledge and skills necessary for teaching science and engineering in higher education. Topics include theories of adult learning; course development; promoting active learning, problemsolving, and critical thinking in students; communicating with a diverse student body; using educational technology to further learning; lecturing; creating effective tests and assignments; and assessment and evaluation. Students research and present a relevant topic of particular interest. Appropriate for both novices and those with teaching experience. J. Rankin 8.396[J] Leadership and Professional Strategies & Skills Training (LEAPS), Part I: Advancing Your Professional Strategies and Skills
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(Same subject as 5.961[J], 9.980[J], 12.396[J], 18.896[J]) Prereq: None Units: 201 [P/D/F] Begins Apr 1. Lecture: TR9.3011 (32082) Part I (of two parts) of the LEAPS graduate career development and training series. Topics include: navigating and charting an academic career with confidence; convincing an audience with clear writing and arguments; mastering public speaking and communications; networking at conferences and building a brand; identifying transferable skills; preparing for a successful job application package and job interviews; understanding group dynamics and different leadership styles; leading a group or team with purpose and confidence. Postdocs encouraged to attend as nonregistered participants. Limited to 80. A. Frebel No required or recommended textbooks 8.397[J] Leadership and Professional Strategies & Skills Training (LEAPS), Part II: Developing Your Leadership Competencies
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(Same subject as 5.962[J], 9.981[J], 12.397[J], 18.897[J]) Prereq: None Units: 201 [P/D/F] Ends Mar 22. Lecture: TR9.3011 (32082) Part II (of two parts) of the LEAPS graduate career development and training series. Topics covered include gaining self awareness and awareness of others, and communicating with different personality types; learning about team building practices; strategies for recognizing and resolving conflict and bias; advocating for diversity and inclusion; becoming organizationally savvy; having the courage to be an ethical leader; coaching, mentoring, and developing others; championing, accepting, and implementing change. Postdocs encouraged to attend as nonregistered participants. Limited to 80. D. Rigos No required or recommended textbooks 8.398 Selected Topics in Graduate Physics
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Prereq: None Units arranged Lecture: W12 (26414) A seminar for firstyear PhD students presenting topics of current interest, with content varying from year to year. Open only to firstyear graduate students in Physics. Fall: J. Thaler Spring: J. Thaler No required or recommended textbooks 8.399 Physics Teaching
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Prereq: Permission of instructor Units arranged [P/D/F] TBA. For qualified graduate students interested in gaining some experience in teaching. Laboratory, tutorial, or classroom teaching under the supervision of a faculty member. Students selected by interview. Fall: C. Paus Spring: C. Paus No required or recommended textbooks Physics of Atoms, Radiation, Solids, Fluids, and Plasmas8.421 Atomic and Optical Physics I
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Prereq: 8.05 Units: 309 Lecture: TR12.30 (34304) The first of a twoterm subject sequence that provides the foundations for contemporary research in selected areas of atomic and optical phsyics. The interaction of radiation with atoms: resonance; absorption, stimulated and spontaneous emission; methods of resonance, dressed atom formalism, masers and lasers, cavity quantum electrodynamics; structure of simple atoms, behavior in very strong fields; fundamental tests: time reversal, parity violations, Bell's inequalities; and experimental methods. W. Ketterle Textbooks (Spring 2024) 8.422 Atomic and Optical Physics II
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Prereq: 8.05 Units: 309 The second of a twoterm subject sequence that provides the foundations for contemporary research in selected areas of atomic and optical physics. Nonclassical states of light squeezed states; multiphoton processes, Raman scattering; coherence level crossings, quantum beats, double resonance, superradiance; trapping and cooling light forces, laser cooling, atom optics, spectroscopy of trapped atoms and ions; atomic interactions classical collisions, quantum scattering theory, ultracold collisions; and experimental methods. M. Zwierlein 8.431[J] Nonlinear Optics
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(Same subject as 6.6340[J]) Prereq: 6.2300 or 8.03 Units: 309 Lecture: MW34.30 (36372) +final Techniques of nonlinear optics with emphasis on fundamentals for research in optics, photonics, spectroscopy, and ultrafast science. Topics include: electrooptic modulators and devices, sum and difference frequency generation, and parametric conversion. Nonlinear propagation effects in optical fibers including selfphase modulation, pulse compression, solitons, communication, and femtosecond fiber lasers. Review of quantum mechanics, interaction of light with matter, laser gain and operation, density matrix techniques, perturbation theory, diagrammatic methods, nonlinear spectroscopies, ultrafast lasers and measurements. Discussion of research operations and funding and professional development topics. Introduces fundamental methods and techniques needed for independent research in advanced optics and photonics, but useful in many other engineering and physics disciplines. J. Fujimoto No textbook information available 8.481, 8.482 Selected Topics in Physics of Atoms and Radiation
(, )Not offered regularly; consult department Prereq: 8.321 Units: 309 Presentation of topics of current interest, with content varying from year to year. Subject not routinely offered; given when sufficient interest is indicated. Staff 8.511 Theory of Solids I
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Prereq: 8.231 Units: 309 First term of a theoretical treatment of the physics of solids. Concept of elementary excitations. Symmetry translational, rotational, and timereversal invariances theory of representations. Energy bands electrons and phonons. Topological band theory. Survey of electronic structure of metals, semimetals, semiconductors, and insulators, excitons, critical points, response functions, and interactions in the electron gas. Theory of superconductivity. L. Levitov 8.512 Theory of Solids II
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Prereq: 8.511 Units: 309 Lecture: TR12.30 (4159) Second term of a theoretical treatment of the physics of solids. Interacting electron gas: manybody formulation, Feynman diagrams, random phase approximation and beyond. General theory of linear response: dielectric function; sum rules; plasmons; optical properties; applications to semiconductors, metals, and insulators. Transport properties: noninteracting electron gas with impurities, diffusons. Quantum Hall effect: integral and fractional. Electronphonon interaction: general theory, applications to metals, semiconductors and insulators, polarons, and fieldtheory description. Superconductivity: experimental observations, phenomenological theories, and BCS theory. L. Levitov No textbook information available 8.513 ManyBody Theory for Condensed Matter Systems
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Prereq: 8.033, 8.05, 8.08, and 8.231 Units: 309 Concepts and physical pictures behind various phenomena that appear in interacting manybody systems. Visualization occurs through concentration on path integral, meanfield theories and semiclassical picture of fluctuations around meanfield state. Topics covered: interacting boson/fermion systems, Fermi liquid theory and bosonization, symmetry breaking and nonlinear sigmamodel, quantum gauge theory, quantum Hall theory, meanfield theory of spin liquids and quantum order, stringnet condensation and emergence of light and fermions. XG. Wen 8.514 Strongly Correlated Systems in Condensed Matter Physics
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Prereq: 8.322 and 8.333 Units: 309 Study of condensed matter systems where interactions between electrons play an important role. Topics vary depending on lecturer but may include lowdimension magnetic and electronic systems, disorder and quantum transport, magnetic impurities (the Kondo problem), quantum spin systems, the Hubbard model and hightemperature superconductors. Topics are chosen to illustrate the application of diagrammatic techniques, fieldtheory approaches, and renormalization group methods in condensed matter physics. Staff 8.581, 8.582 Selected Topics in Condensed Matter Physics
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Prereq: Permission of instructor Units: 309 Presentation of topics of current interest, with contents varying from year to year. Subject not routinely offered; given when sufficient interest is indicated. W. Oliver 8.590[J] Topics in Biophysics and Physical Biology
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(Same subject as 7.74[J], 20.416[J]) Prereq: None Units: 204 [P/D/F] Provides broad exposure to research in biophysics and physical biology, with emphasis on the critical evaluation of scientific literature. Weekly meetings include indepth discussion of scientific literature led by distinct faculty on active research topics. Each session also includes brief discussion of nonresearch topics including effective presentation skills, writing papers and fellowship proposals, choosing scientific and technical research topics, time management, and scientific ethics. J. Gore, N. Fakhri 8.591[J] Systems Biology
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(Same subject as 7.81[J]) (Subject meets with 7.32) Prereq: (18.03 and 18.05) or permission of instructor Units: 309 Introduction to cellular and populationlevel systems biology with an emphasis on synthetic biology, modeling of genetic networks, cellcell interactions, and evolutionary dynamics. Cellular systems include genetic switches and oscillators, network motifs, genetic network evolution, and cellular decisionmaking. Populationlevel systems include models of pattern formation, cellcell communication, and evolutionary systems biology. Students taking graduate version explore the subject in more depth. J. Gore 8.592[J] Statistical Physics in Biology
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(Same subject as HST.452[J]) Prereq: 8.333 or permission of instructor Units: 309 A survey of problems at the interface of statistical physics and modern biology: bioinformatic methods for extracting information content of DNA; gene finding, sequence comparison, phylogenetic trees. Physical interactions responsible for structure of biopolymers; DNA double helix, secondary structure of RNA, elements of protein folding. Considerations of force, motion, and packaging; protein motors, membranes. Collective behavior of biological elements; cellular networks, neural networks, and evolution. Staff 8.593[J] Biological Physics
()Not offered regularly; consult department (Same subject as HST.450[J]) Prereq: 8.044 recommended but not necessary Units: 408 Designed to provide seniors and firstyear graduate students with a quantitative, analytical understanding of selected biological phenomena. Topics include experimental and theoretical basis for the phase boundaries and equation of state of concentrated protein solutions, with application to diseases such as sickle cell anemia and cataract. Proteinligand binding and linkage and the theory of allosteric regulation of protein function, with application to proteins as stores as transporters in respiration, enzymes in metabolic pathways, membrane receptors, regulators of gene expression, and selfassembling scaffolds. The physics of locomotion and chemoreception in bacteria and the biophysics of vision, including the theory of transparency of the eye, molecular basis of photo reception, and the detection of light as a signaltonoise discrimination. Staff 8.613[J] Introduction to Plasma Physics I
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(Same subject as 22.611[J]) Prereq: (6.2300 or 8.07) and (18.04 or Coreq: 18.075) Units: 309 Introduces plasma phenomena relevant to energy generation by controlled thermonuclear fusion and to astrophysics. Elementary plasma concepts, plasma characterization. Motion of charged particles in magnetic fields. Coulomb collisions, relaxation times, transport processes. Twofluid hydrodynamic and MHD descriptions. Plasma confinement by magnetic fields, simple equilibrium and stability analysis. Wave propagation in a magnetic field; application to RF plasma heating. Introduction to kinetic theory; Vlasov, Boltzmann and FokkerPlanck equations; relation of fluid and kinetic descriptions. Electron and ion acoustic plasma waves, Landau damping. N. Gomes Loureiro 8.614[J] Introduction to Plasma Physics II
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(Same subject as 22.612[J]) Prereq: 22.611 Units: 309 Followup to 22.611 provides indepth coverage of several fundamental topics in plasma physics, selected for their wide relevance and applicability, from fusion to space and astrophysics. Covers both kinetic and fluid instabilities: twostream, Weibel, magnetorotational, parametric, iontemperaturegradient, and pressureanisotropydriven instabilities (mirror, firehose). Also covers advanced fluid models, and driftkinetic and gyrokinetic equations. Special attention to dynamo theory, magnetic reconnection, MHD turbulence, kinetic turbulence, and shocks. Staff 8.624 Plasma Waves
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Prereq: 22.611 Units: 309 Comprehensive theory of electromagnetic waves in a magnetized plasma. Wave propagation in cold and hot plasmas. Energy flow. Absorption by Landau and cyclotron damping and by transit time magnetic pumping (TTMP). Wave propagation in inhomogeneous plasma: accessibility, WKB theory, mode conversion, connection formulae, and Budden tunneling. Applications to RF plasma heating, wave propagation in the ionosphere and laserplasma interactions. Wave propagation in toroidal plasmas, and applications to ion cyclotron (ICRF), electron cyclotron (ECRH), and lower hybrid (LHH) wave heating. Quasilinear theory and applications to RF current drive in tokamaks. Extensive discussion of relevant experimental observations. Staff 8.641 Physics of HighEnergy Plasmas I
()Not offered regularly; consult department Prereq: 22.611 Units: 309 Physics of HighEnergy Plasmas I and II address basic concepts of plasmas, with temperatures of thermonuclear interest, relevant to fusion research and astrophysics. Microscopic transport processes due to interparticle collisions and collective modes (e.g., microinstabilities). Relevant macroscopic transport coefficients (electrical resistivity, thermal conductivities, particle "diffusion"). Runaway and slideaway regimes. Magnetic reconnection processes and their relevance to experimental observations. Radiation emission from inhomogeneous plasmas. Conditions for thermonuclear burning and ignition (DT and "advanced" fusion reactions, plasmas with polarized nuclei). Role of "impurity" nuclei. "Finiteβ" (pressure) regimes and ballooning modes. Convective modes in configuration and velocity space. Trapped particle regimes. Nonlinear and explosive instabilities. Interaction of positive and negative energy modes. Each subject can be taken independently. Staff 8.642 Physics of HighEnergy Plasmas II
()Not offered regularly; consult department Prereq: 22.611 Units: 309 Physics of HighEnergy Plasmas I and II address basic concepts of plasmas, with temperatures of thermonuclear interest, relevant to fusion research and astrophysics. Microscopic transport processes due to interparticle collisions and collective modes (e.g., microinstabilities). Relevant macroscopic transport coefficients (electrical resistivity, thermal conductivities, particle "diffusion"). Runaway and slideaway regimes. Magnetic reconnection processes and their relevance to experimental observations. Radiation emission from inhomogeneous plasmas. Conditions for thermonuclear burning and ignition (DT and "advanced" fusion reactions, plasmas with polarized nuclei). Role of "impurity" nuclei. "Finiteβ" (pressure) regimes and ballooning modes. Convective modes in configuration and velocity space. Trapped particle regimes. Nonlinear and explosive instabilities. Interaction of positive and negative energy modes. Each subject can be taken independently. Staff 8.670[J] Principles of Plasma Diagnostics
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(Same subject as 22.67[J]) Prereq: 22.611 Units: 444 Introduction to the physical processes used to measure the properties of plasmas, especially fusion plasmas. Measurements of magnetic and electric fields, particle flux, refractive index, emission and scattering of electromagnetic waves and heavy particles; their use to deduce plasma parameters such as particle density, pressure, temperature, and velocity, and hence the plasma confinement properties. Discussion of practical examples and assessments of the accuracy and reliability of different techniques. J. Hare 8.681, 8.682 Selected Topics in Fluid and Plasma Physics
(, ) Not offered regularly; consult department Prereq: 22.611 Units: 309 Presentation of topics of current interest, with content varying from year to year. Subject not routinely offered; given when interest is indicated. Staff Nuclear and Particle Physics8.701 Introduction to Nuclear and Particle Physics
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Prereq: None. Coreq: 8.321 Units: 309 The phenomenology and experimental foundations of particle and nuclear physics; the fundamental forces and particles, composites. Interactions of particles with matter, and detectors. SU(2), SU(3), models of mesons and baryons. QED, weak interactions, parity violation, leptonnucleon scattering, and structure functions. QCD, gluon field and color. W and Z fields, electroweak unification, the CKM matrix. Nucleonnucleon interactions, properties of nuclei, single and collective particle models. Electron and hadron interactions with nuclei. Relativistic heavy ion collisions, and transition to quarkgluon plasma. M. Williams 8.711 Nuclear Physics
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Prereq: 8.321 and 8.701 Units: 408 Lecture: TR12.30 (26328) +final Modern, advanced study in the experimental foundations and theoretical understanding of the structure of nuclei, beginning with the two and threenucleon problems. Basic nuclear properties, collective and singleparticle motion, giant resonances, mean field models, interacting boson model. Nuclei far from stability, nuclear astrophysics, bigbang and stellar nucleosynthesis. Electron scattering: nucleon momentum distributions, scaling, olarization observables. Parityviolating electron scattering. Neutrino physics. Current results in relativistic heavy ion physics and hadronic physics. Frontiers and future facilities. R. Garcia Ruiz No textbook information available 8.712 Advanced Topics in Nuclear Physics
(, ) Not offered regularly; consult department Prereq: 8.711 or permission of instructor Units: 309 Subject for experimentalists and theorists with rotation of the following topics: (1) Nuclear chromodynamics introduction to QCD, structure of nucleons, lattice QCD, phases of hadronic matter; and relativistic heavy ion collisions. (2) Mediumenergy physics nuclear and nucleon structure and dynamics studied with medium and highenergy probes (neutrinos, photons, electrons, nucleons, pions, and kaons). Studies of weak and strong interactions. Staff 8.751[J] Quantum Technology and Devices
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(Same subject as 22.51[J]) (Subject meets with 22.022) Prereq: 22.11 Units: 309 Lecture: TR910.30 (36372) Examines the unique features of quantum theory to generate technologies with capabilities beyond any classical device. Introduces fundamental concepts in applied quantum mechanics, tools and applications of quantum technology, with a focus on quantum information processing beyond quantum computation. Includes discussion of quantum devices and experimental platforms drawn from active research in academia and industry. Students taking graduate version complete additional assignments. P. Cappellaro No required or recommended textbooks 8.781, 8.782 Selected Topics in Nuclear Theory
(, )Not offered regularly; consult department Prereq: 8.323 Units: 309 Presents topics of current interest in nuclear structure and reaction theory, with content varying from year to year. Subject not routinely offered; given when sufficient interest is indicated. Staff 8.811 Particle Physics
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Prereq: 8.701 Units: 309 Modern review of particles, interactions, and recent experiments. Experimental and analytical methods. QED, electroweak theory, and the Standard Model as tested in recent key experiments at ee and pp colliders. Mass generation, W, Z, and Higgs physics. Weak decays of mesons, including heavy flavors with QCD corrections. Mixing phenomena for K, D, B mesons and neutrinos. CP violation with results from Bfactories. Future physics expectations: Higgs, SUSY, substructure as addressed by new experiments at the LHC collider. L. Winslow 8.812 Graduate Experimental Physics
()Not offered regularly; consult department Prereq: 8.701 Units: 183 Provides practical experience in particle detection with verification by (Feynman) calculations. Students perform three experiments; at least one requires actual construction following design. Topics include Compton effect, Fermi constant in muon decay, particle identification by timeofflight, Cerenkov light, calorimeter response, tunnel effect in radioactive decays, angular distribution of cosmic rays, scattering, gammagamma nuclear correlations, and modern particle localization. Staff 8.821 String Theory
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Prereq: 8.324 Units: 309 Credit cannot also be received for 8.251 An introduction to string theory. Basics of conformal field theory; lightcone and covariant quantization of the relativistic bosonic string; quantization and spectrum of supersymmetric 10dimensional string theories; Tduality and Dbranes; toroidal compactification and orbifolds; 11dimensional supergravity and Mtheory. Meets with 8.251 when offered concurrently. H. Liu 8.831 Supersymmetric Quantum Field Theories
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Prereq: Permission of instructor Units: 309 Topics selected from the following: SUSY algebras and their particle representations; Weyl and Majorana spinors; Lagrangians of basic fourdimensional SUSY theories, both rigid SUSY and supergravity; supermultiplets of fields and superspace methods; renormalization properties, and the nonrenormalization theorem; spontaneous breakdown of SUSY; and phenomenological SUSY theories. Some prior knowledge of Noether's theorem, derivation and use of Feynman rules, lloop renormalization, and gauge theories is essential. Staff 8.851 Effective Field Theory
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Prereq: 8.324 Units: 309 Credit cannot also be received for 8.S851 Lecture: TR10.3012 (4261) Covers the framework and tools of effective field theory, including: identifying degrees of freedom and symmetries; power counting expansions (dimensional and otherwise); field redefinitions, bottomup and topdown effective theories; finetuned effective theories; matching and Wilson coefficients; reparameterization invariance; and advanced renormalization group techniques. Main examples are taken from particle and nuclear physics, including the SoftCollinear Effective Theory. I. Stewart No required or recommended textbooks 8.871 Selected Topics in Theoretical Particle Physics
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Prereq: 8.323 Units: 309 Presents topics of current interest in theoretical particle physics, with content varying from year to year. Subject not routinely offered; given when sufficient interest is indicated. Staff 8.872 Selected Topics in Theoretical Particle Physics
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Prereq: 8.323 Units: 309 Presents topics of current interest in theoretical particle physics, with content varying from year to year. Subject not routinely offered; given when sufficient interest is indicated. Staff 8.881, 8.882 Selected Topics in Experimental Particle Physics
(, ) Not offered regularly; consult department Prereq: 8.811 Units: 309 Presents topics of current interest in experimental particle physics, with content varying from year to year. Subject not routinely offered; given when sufficient interest is indicated. Staff Space Physics and Astrophysics8.901 Astrophysics I
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Prereq: Permission of instructor Units: 309 Lecture: MW12.30 (4261) Size and time scales. Historical astronomy. Astronomical instrumentation. Stars: spectra and classification. Stellar structure equations and survey of stellar evolution. Stellar oscillations. Degenerate and collapsed stars; radio pulsars. Interacting binary systems; accretion disks, xray sources. Gravitational lenses; dark matter. Interstellar medium: HII regions, supernova remnants, molecular clouds, dust; radiative transfer; Jeans' mass; star formation. Highenergy astrophysics: Compton scattering, bremsstrahlung, synchrotron radiation, cosmic rays. Galactic stellar distributions and populations; Oort constants; Oort limit; and globular clusters. A. Vanderburg Textbooks (Spring 2024) 8.902 Astrophysics II
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Prereq: 8.901 Units: 309 Galactic dynamics: potential theory, orbits, collisionless Boltzmann equation, etc. Galaxy interactions. Groups and clusters; dark matter. Intergalactic medium; xray clusters. Active galactic nuclei: unified models, black hole accretion, radio and optical jets, etc. Homogeneity and isotropy, redshift, galaxy distance ladder. Newtonian cosmology. RoberstonWalker models and cosmography. Early universe, primordial nucleosynthesis, recombination. Cosmic microwave background radiation. Largescale structure, galaxy formation. M. Vogelsberger 8.913 Plasma Astrophysics I
()Not offered regularly; consult department Prereq: Permission of instructor Units: 309 For students interested in space physics, astrophysics, and plasma physics in general. Magnetospheres of rotating magnetized planets, ordinary stars, neutron stars, and black holes. Pulsar models: processes for slowing down, particle acceleration, and radiation emission; accreting plasmas and xray stars; stellar winds; heliosphere and solar wind relevant magnetic field configuration, measured particle distribution in velocity space and induced collective modes; stability of the current sheet and collisionless processes for magnetic reconnection; theory of collisionless shocks; solitons; FerroaroRosenbluth sheet; solar flare models; heating processes of the solar corona; Earth's magnetosphere (auroral phenomena and their interpretation, bowshock, magnetotail, trapped particle effects); relationship between gravitational (galactic) plasmas and electromagnetic plasmas. 8.913 deals with heliospheric, 8.914 with extraheliospheric plasmas. Staff 8.914 Plasma Astrophysics II
()Not offered regularly; consult department Prereq: Permission of instructor Units: 309 For students interested in space physics, astrophysics, and plasma physics in general. Magnetospheres of rotating magnetized planets, ordinary stars, neutron stars, and black holes. Pulsar models: processes for slowing down, particle acceleration, and radiation emission; accreting plasmas and xray stars; stellar winds; heliosphere and solar wind relevant magnetic field configuration, measured particle distribution in velocity space and induced collective modes; stability of the current sheet and collisionless processes for magnetic reconnection; theory of collisionless shocks; solitons; FerroaroRosenbluth sheet; solar flare models; heating processes of the solar corona; Earth's magnetosphere (auroral phenomena and their interpretation, bowshock, magnetotail, trapped particle effects); relationship between gravitational (galactic) plasmas and electromagnetic plasmas. 8.913 deals with heliospheric, 8.914 with extraheliospheric plasmas. Staff 8.921 Stellar Structure and Evolution
()Not offered regularly; consult department Prereq: Permission of instructor Units: 309 Observable stellar characteristics; overview of observational information. Principles underlying calculations of stellar structure. Physical processes in stellar interiors; properties of matter and radiation; radiative, conductive, and convective heat transport; nuclear energy generation; nucleosynthesis; and neutrino emission. Protostars; the main sequence, and the solar neutrino flux; advanced evolutionary stages; variable stars; planetary nebulae, supernovae, white dwarfs, and neutron stars; close binary systems; and abundance of chemical elements. Staff 8.942 Cosmology
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Prereq: Permission of instructor Units: 309 Thermal backgrounds in space. Cosmological principle and its consequences: Newtonian cosmology and types of "universes"; survey of relativistic cosmology; horizons. Overview of evolution in cosmology; radiation and element synthesis; physical models of the "early stages." Formation of largescale structure to variability of physical laws. First and last states. Some knowledge of relativity expected. 8.962 recommended though not required. K. Masui 8.952 Particle Physics of the Early Universe
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Prereq: 8.323; Coreq: 8.324 Units: 309 Basics of general relativity, standard big bang cosmology, thermodynamics of the early universe, cosmic background radiation, primordial nucleosynthesis, basics of the standard model of particle physics, electroweak and QCD phase transition, basics of group theory, grand unified theories, baryon asymmetry, monopoles, cosmic strings, domain walls, axions, inflationary universe, and structure formation. Staff 8.962 General Relativity
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Prereq: 8.07, 18.03, and 18.06 Units: 408 URL: https://physics.mit.edu/faculty/scotthughes/ Lecture: TR2.304 (4163) Recitation: M4 (4149) or F11 (4153) The basic principles of Einstein's general theory of relativity, differential geometry, experimental tests of general relativity, black holes, and cosmology. S. Hughes Textbooks (Spring 2024) 8.971 Astrophysics Seminar
(, ) Not offered regularly; consult department Prereq: Permission of instructor Units: 204 [P/D/F] Advanced seminar on current topics, with a different focus each term. Typical topics: astronomical instrumentation, numerical and statistical methods in astrophysics, gravitational lenses, neutron stars and pulsars. Staff 8.972 Astrophysics Seminar
(, ) Not offered regularly; consult department Prereq: Permission of instructor Units: 204 [P/D/F] Advanced seminar on current topics, with a different focus each term. Typical topics: gravitational lenses, active galactic nuclei, neutron stars and pulsars, galaxy formation, supernovae and supernova remnants, brown dwarfs, and extrasolar planetary systems. The presenter at each session is selected by drawing names from a hat containing those of all attendees. Offered if sufficient interest is indicated. Staff 8.981, 8.982 Selected Topics in Astrophysics
() Not offered regularly; consult department Prereq: Permission of instructor Units: 309 [P/D/F] Topics of current interest, varying from year to year. Subject not routinely offered; given when sufficient interest is indicated. Staff 8.995 Practical Experience in Physics
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Prereq: None Units arranged [P/D/F] TBA. For Course 8 students participating in offcampus experiences in physics. Before registering for this subject, students must have an internship offer from a company or organization, must identify a Physics supervisor, and must receive prior approval from the Physics Department. Upon completion of the project, student must submit a letter from the company or organization describing the work accomplished, along with a substantive final report from the student approved by the MIT supervisor. Consult departmental academic office. Fall: Detmold, William IAP: Detmold, William Spring: Detmold, William Summer: Detmold, William No textbook information available (IAP 2024); No required or recommended textbooks (Spring 2024) 8.998 Teaching and Mentoring MIT Students
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  8.018.299 plus UROP and THU    8.3008.999 plus THG   