Physical Sciences Courses at Harvard University, Lecture notes of Electromagnetism and Electromagnetic Fields Theory

Download Physical Sciences Courses at Harvard University and more Lecture notes Electromagnetism and Electromagnetic Fields Theory in PDF only on Docsity! HARVARD UNIVERSITY Page 2700 of 3410 5/5/2020 11:40 AM Physical Sciences 2 Mechanics, Elasticity, Fluids, and Diffusion (122575) Gregory Kestin Louis Deslauriers 2020 Fall (4 Credits) Schedule: TR 0900 AM - 1015 AM Instructor Permissions: None Enrollment Cap: n/a An introduction to classical mechanics, with special emphasis on the motion of organisms in fluids. Topics covered include: kinematics, Newton's laws of motion, oscillations, elasticity, random walks, diffusion, and fluids. Examples and problem set questions will be drawn from the life sciences and medicine. Recommended Prep: Physical Sciences 1 (or Chemistry 7), Mathematics 1b, or the equivalent. Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Undergraduate Students FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration Physical Sciences 3 Electromagnetism, Circuits, Waves, Optics, and Imaging (122576) Roxanne Guenette, Louis Deslauriers, Greg Kestin 2021 Spring (4 Credits) Schedule: TR 0900 AM - 1015 AM Instructor Permissions: None Enrollment Cap: n/a This course is an introduction to electromagnetism, digital information, waves, optics and sound. Topics HARVARD UNIVERSITY Page 2701 of 3410 5/5/2020 11:40 AM covered include: electric and magnetic fields, electrical potential, circuits, simple digital circuits, wave propagation in various media, microscopy, sound and hearing. The course will draw upon a variety of applications to the biological sciences and will use real-world examples to illustrate many of the physical principles described. There are six laboratories. Course Notes: This course is part of an integrated introduction to the physical sciences intended for students who plan to pursue a concentration in the life sciences and/or satisfy pre-medical requirements in Physics. May not ordinarily be taken for credit in addition to Physics 1b, 11b, or 15b. Recommended Prep: Physical Sciences 2 (or Physics 1a or 11a), Mathematics 1b, or equivalent. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS Divisional Distribution Science & Engineering & Applied Science FAS: Course Level Primarily for Undergraduate Students Physical Sciences 12A Mechanics and Statistical Physics from an Analytic, Numerical and Experimental Perspective (109274) Efthimios Kaxiras Camille Gomez-Laberge 2021 Spring (4 Credits) Schedule: MW 0900 AM - 1015 AM Instructor Permissions: None Enrollment Cap: n/a This is the first term of a two-semester introductory physical science and engineering course sequence. The focus is on quantitative scientific reasoning, with the first term's exploration framed in the context of basic mechanics. Students will gain competence in both analytic (using pencil, paper and single-variable calculus) and numerical (using computer modeling) approaches to modeling simple physical systems and for the analysis of experimental data. Topics include kinematics, linear and rotational motion, forces, energy, momentum, collisions, gravitation, oscillations, and a brief introduction to statistical physics and waves. Examples are drawn from across the physical sciences and engineering. The course is aimed at first year students who have an interest in pursuing a concentration in the sciences and/or engineering. The course structure includes lecture, discussion and laboratory components. Course Notes: Physical Sciences 12a may not be taken for credit by students who have passed Physics 11a, 15a or 16. Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Undergraduate Students All: Cross Reg Availability Available for Harvard Cross Registration FAS Divisional Distribution Science & Engineering & Applied Science Physical Sciences 12B Electromagnetism and Quantum Physics from an Analytic, Numerical and Experimental Perspective (109457) HARVARD UNIVERSITY Page 2619 of 3410 5/5/2020 11:40 AM Physics Subject: Physics Physics 15A Introductory Mechanics and Relativity (111164) Julia Mundy Keith Zengel 2021 Spring (4 Credits) Schedule: TR 1200 PM - 0115 PM Instructor Permissions: None Enrollment Cap: n/a Newtonian mechanics and special relativity. Topics include vectors; kinematics in three dimensions; Newton's laws; force, work, power; conservative forces, potential energy; momentum, collisions; rotational motion, angular momentum, torque; static equilibrium, simple harmonic motion, damped and driven oscillations; gravitation; fictitious forces; fluids; special relativity. Course Notes: Principles of Scientific Inquiry (PSI) is the laboratory component of Physics 15a. Topics include experimental design, model testing, error analysis, basic programming, oral presentations, and scientific writing. PSI will meet weekly throughout the semester. Recommended Prep: Mathematics preparation at least at the level of Mathematics 1b concurrently is required. However, some elementary ideas from multivariable calculus may be used and students are encouraged to take Mathematics 21a concurrently. Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Undergraduate Students FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration Physics 15A Introductory Mechanics and Relativity (111164) David Morin Amir Yacoby Keith Zengel 2020 Fall (4 Credits) Schedule: TR 1200 PM - 0115 PM Instructor Permissions: None Enrollment Cap: n/a Newtonian mechanics and special relativity. Topics include vectors; kinematics in three dimensions; Newton's laws; force, work, power; conservative forces, potential energy; momentum, collisions; rotational motion, angular momentum, torque; static equilibrium, simple harmonic motion, damped and driven oscillations; gravitation; fictitious forces; fluids; special relativity. Course Notes: Principles of Scientific Inquiry (PSI) is the laboratory component of Physics 15a. Topics include experimental design, model testing, error HARVARD UNIVERSITY Page 2620 of 3410 5/5/2020 11:40 AM analysis, basic programming, oral presentations, and scientific writing. PSI will meet weekly throughout the semester. Recommended Prep: Mathematics preparation at least at the level of Mathematics 1b concurrently is required. However, some elementary ideas from multivariable calculus may be used and students are encouraged to take Mathematics 21a concurrently. Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Undergraduate Students FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration Physics 15B Introductory Electromagnetism and Statistical Physics (111896) Girma Hailu Robert Westervelt 2020 Fall (4 Credits) Schedule: TR 1200 PM - 0115 PM Instructor Permissions: None Enrollment Cap: n/a Electricity and magnetism. Topics include electrostatics, electric currents, magnetic field, electromagnetic induction, Maxwell's equations, electromagnetic radiation, magnetic fields in materials, and some basic notions in kinetic theory, entropy, temperature, and phase transition associated with electricity and magnetism. Course Notes: Principles of Scientific Inquiry (PSI) is the laboratory component of Physics 15b. Students use creative problem-solving in applying theoretical topics to explore physical phenomena and design real life applications. Topics include experimental design, model testing, error analysis, basic programming, introductory circuit analysis, and practical applications of electromagnetism. PSI will meet weekly throughout the semester. Recommended Prep: Physics 15a, Physics 16, or written permission of the Head Tutor in Physics. Mathematics preparation at least at the level of Mathematics 21a taken concurrently is required. Vector calculus, (div, grad and curl) are used extensively--in principle, this is taught in the course. Students taking Mathematics 21a concurrently will likely find that some concepts are introduced in Physics 15b before they have seen them in Mathematics 21a. Some students may wish to postpone Physics 15b until they have completed Mathematics 21a. Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Undergraduate Students All: Cross Reg Availability Available for Harvard Cross Registration FAS Divisional Distribution Science & Engineering & Applied Science Physics 15B Introductory Electromagnetism and Statistical Physics (111896) Keith Zengel HARVARD UNIVERSITY Page 2621 of 3410 5/5/2020 11:40 AM Schedule: TR 1200 PM - 0115 PM Carlos Argüelles Delgado, Amir Yacoby, Keith Zengel 2021 Spring (4 Credits) Instructor Permissions: None Enrollment Cap: n/a Electricity and magnetism. Topics include electrostatics, electric currents, magnetic field, electromagnetic induction, Maxwell's equations, electromagnetic radiation, magnetic fields in materials, and some basic notions in kinetic theory, entropy, temperature, and phase transition associated with electricity and magnetism. Course Notes: Principles of Scientific Inquiry (PSI) is the laboratory component of Physics 15b. Students use creative problem-solving in applying theoretical topics to explore physical phenomena and design real life applications. Topics include experimental design, model testing, error analysis, basic programming, introductory circuit analysis, and practical applications of electromagnetism. PSI will meet weekly throughout the semester. Recommended Prep: Physics 15a, Physics 16, or written permission of the Head Tutor in Physics. Mathematics preparation at least at the level of Mathematics 21a taken concurrently is required. Vector calculus, (div, grad and curl) are used extensively--in principle, this is taught in the course. Students taking Mathematics 21a concurrently will likely find that some concepts are introduced in Physics 15b before they have seen them in Mathematics 21a. Some students may wish to postpone Physics 15b until they have completed Mathematics 21a. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level Primarily for Undergraduate Students FAS Divisional Distribution Science & Engineering & Applied Science Physics 15C Wave Phenomena (124154) Matteo Mitrano Markus Greiner 2020 Fall (4 Credits) Schedule: MW 1030 AM - 1145 AM Instructor Permissions: None Enrollment Cap: n/a Forced oscillation and resonance; coupled oscillators and normal modes; Fourier series; Electromagnetic waves, radiation, longitudinal oscillations, sound; traveling waves; signals, wave packets and group velocity; two- and three-dimensional waves; polarization; geometrical and physical optics; interference and diffraction. Optional topics: Water waves, holography, x-ray crystallography, solitons, music, quantum mechanics, and waves in the early universe. Course Notes: Principles of Scientific Inquiry (PSI) is the laboratory component of Physics 15c. Topics include experimental design, model testing, error analysis, basic programming, oral presentations, and scientific writing. PSI will meet weekly throughout the semester. Recommended Prep: Physics 15a, Physics 15b, or written permission of the Head Tutor in Physics. Mathematics preparation at least at the level of Mathematics HARVARD UNIVERSITY Page 2624 of 3410 5/5/2020 11:40 AM Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Undergraduate Students FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration Physics 90R Supervised Research (111672) David Morin 2021 Spring (4 Credits) Schedule: TBD Instructor Permissions: None Enrollment Cap: n/a Primarily for selected concentrators in Physics, or in Chemistry and Physics, who have obtained honor grades in Physics 15 and a number of intermediate-level courses. The student must be accepted by some member of the faculty doing research in the student's field of interest. The form of the research depends on the student's interest and experience, the nature of the particular field of physics, and facilities and support available. Students wishing to write a senior thesis can do so by arranging for a sponsor and enrolling in this course. Course Notes: A list of possible faculty sponsors and their fields is available in Lyman 238 and on the Physics Department Web page. Course enrollment forms may be obtained from Lyman 238. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level Primarily for Undergraduate Students FAS Divisional Distribution Science & Engineering & Applied Science Physics 91R Supervised Reading Course for Undergraduates (110569) David Morin 2020 Fall (4 Credits) Schedule: TBD Instructor Permissions: Instructor Enrollment Cap: n/a Open to selected concentrators in Physics, Chemistry and Physics, and other fields who wish to do supervised reading and studying of special topics in physics. Ordinarily such topics do not include those covered in a regular course of the Department. Honor grades in Physics 15 and a number of intermediate- level courses are ordinarily required. The student must be accepted by a member of the faculty. Course Notes: A list of possible faculty sponsors and their fields is available in Lyman 238 and on the Physics Department's website. Course enrollment forms may be obtained from Lyman 238. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level Primarily for Undergraduate Students FAS Divisional Distribution Science & Engineering & Applied Science HARVARD UNIVERSITY Page 2625 of 3410 5/5/2020 11:40 AM Physics 91R Supervised Reading Course for Undergraduates (110569) David Morin 2021 Spring (4 Credits) Schedule: TBD Instructor Permissions: None Enrollment Cap: n/a Open to selected concentrators in Physics, Chemistry and Physics, and other fields who wish to do supervised reading and studying of special topics in physics. Ordinarily such topics do not include those covered in a regular course of the Department. Honor grades in Physics 15 and a number of intermediate- level courses are ordinarily required. The student must be accepted by a member of the faculty. Course Notes: A list of possible faculty sponsors and their fields is available in Lyman 238 and on the Physics Department's website. Course enrollment forms may be obtained from Lyman 238. Additional Course Attributes: Attribute Value(s) FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level Primarily for Undergraduate Students Physics 95 Topics in Current Research (111967) Eric Mazur 2020 Fall (4 Credits) Schedule: W 0715 PM - 0845 PM M 0300 PM - 0415 PM Instructor Permissions: None Enrollment Cap: n/a The goal of this tutorial is twofold. First, students will learn about a range of modern physics research topics from experts at Harvard as well as from one another. Every Wednesday evening a faculty member speaks on his/her area of research, preceded by assigned reading and a student presentation designed to introduce the basic physics, as well as important developments and burning problems at the frontiers of that particular research area. Second, the tutorial provides structured activities to help students develop practical skills for their future careers, expanding knowledge on unfamiliar subjects, participating in discussions, presenting and writing clearly about complex topics, and engaging in self and peer evaluation. Course Notes: Primarily for junior and senior concentrators, however interested sophomores are welcome. Individual meetings for students will be held Tuesdays, 9:00am - 10:15am, in Prof. Mazur's office, Pierce 233. Class Notes: Additional one-on-one meetings will be scheduled on Tuesdays from 9: 00-10:15am. Additional Course Attributes: Attribute Value(s) FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level Primarily for Undergraduate Students HARVARD UNIVERSITY Page 2626 of 3410 5/5/2020 11:40 AM Physics 123 Laboratory Electronics (124108) Thomas Hayes Schedule: TR 0130 PM - 0545 PM2021 Spring (4 Credits) Instructor Permissions: Instructor Enrollment Cap: 20 A lab-intensive introduction to electronic circuit design. Develops circuit intuition and debugging skills through daily hands-on lab exercises, each preceded by class discussion, with minimal use of mathematics and physics. Moves quickly from passive circuits, to discrete transistors, then concentrates on operational amplifiers, used to make a variety of circuits including integrators, oscillators, regulators, and filters. The digital half of the course treats analog-digital interfacing, emphasizes the use of microcontrollers and programmable logic devices (PLDs). Course Notes: Physics 123 is the same course as Physics 223; if you are a graduate student, please enroll in 223. Limited to 20 students. Physics 123 is also offered as Engineering Sciences 153. Students may not take both for credit. Undergraduate engineering students should enroll in Engineering Sciences 153. Additional Course Attributes: Attribute Value(s) FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level For Undergraduate and Graduate Students Physics 123 Laboratory Electronics (124108) Schedule: TR 0130 PM - 0545 PM David Abrams 2020 Fall (4 Credits) Instructor Permissions: Instructor Enrollment Cap: 20 A lab-intensive introduction to electronic circuit design. Develops circuit intuition and debugging skills through daily hands-on lab exercises, each preceded by class discussion, with minimal use of mathematics and physics. Moves quickly from passive circuits, to discrete transistors, then concentrates on operational amplifiers, used to make a variety of circuits including integrators, oscillators, regulators, and filters. The digital half of the course treats analog-digital interfacing, emphasizes the use of microcontrollers and programmable logic devices (PLDs). Course Notes: Physics 123 is the same course as Physics 223; if you are a graduate student, please enroll in 223. Limited to 20 students. Physics 123 is also offered as Engineering Sciences 153. Students may not take both for credit. Undergraduate engineering students should enroll in Engineering Sciences 153. HARVARD UNIVERSITY Page 2629 of 3410 5/5/2020 11:40 AM 2020 Fall (4 Credits) Schedule: TR 1030 AM - 1145 AM Instructor Permissions: None Enrollment Cap: n/a Introduction to nonrelativistic quantum mechanics: uncertainty relations; Schrödinger equation; Dirac notation; matrix mechanics; one-dimensional problems including particle in box, tunneling, and harmonic oscillator; angular momentum, hydrogen atom, spin, Pauli principle; and if time allows: time-independent perturbation theory; and scattering. Recommended Prep: Linear algebra including matrix diagonalization; Physics 15c or written permission of the Head Tutor. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level For Undergraduate and Graduate Students FAS Divisional Distribution Science & Engineering & Applied Science Physics 143B Quantum Mechanics II (111731) Lisa Randall 2020 Fall (4 Credits) Schedule: WF 0130 PM - 0245 PM Instructor Permissions: None Enrollment Cap: n/a Introduction to path integrals, identical particles, many-electron theory, WKB approximation, time- dependent perturbation theory, scattering theory, relativistic quantum mechanics, and basics of quantum information. Recommended Prep: Physics 143a. Additional Course Attributes: Attribute Value(s) FAS Divisional Distribution Science & Engineering & Applied Science FAS: Course Level For Undergraduate and Graduate Students All: Cross Reg Availability Available for Harvard Cross Registration Physics 145 Elementary Particle Physics (117719) Melissa Franklin 2020 Fall (4 Credits) Schedule: WF 1030 AM - 1145 AM Instructor Permissions: None Enrollment Cap: n/a Introduction to elementary particle physics. Emphasis on concepts and phenomenology rather than on detailed calculational development of theories. Starts with the discovery of the electron in 1897 and ends with the theoretical motivations for the Higgs boson, and attempts to cover everything important in between. Students will also have a brief experience of particle physics research using Atlas experiment open data. Recommended Prep: Physics 143a. Physics 143b or equivalent is useful. HARVARD UNIVERSITY Page 2630 of 3410 5/5/2020 11:40 AM Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level For Undergraduate and Graduate Students FAS Divisional Distribution Science & Engineering & Applied Science Quantitative Reasoning with Data Yes Physics 151 Mechanics (111231) Arthur Jaffe 2020 Fall (4 Credits) Schedule: TR 1200 PM - 0115 PM Instructor Permissions: None Enrollment Cap: n/a Fundamental ideas of classical mechanics including contact with modern work and applications. Topics include Lagrange's equations, the role of variational principles, symmetry and conservation laws, Hamilton's equations, Hamilton-Jacobi theory and phase space dynamics. Applications to celestial mechanics, quantum mechanics, the theory of small oscillations and classical fields, and nonlinear oscillations, including chaotic systems presented. Recommended Prep: Physics 15a, 15b or written permission of the Head Tutor; Mathematics 21a, b or equivalent. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level For Undergraduate and Graduate Students FAS Divisional Distribution Science & Engineering & Applied Science Physics 153 Electrodynamics (111822) Girma Hailu 2021 Spring (4 Credits) Schedule: MW 1200 PM - 0115 PM Instructor Permissions: None Enrollment Cap: n/a Aimed at advanced undergraduates. Emphasis on the properties and sources of the electromagnetic fields and on the wave aspects of the fields. Course starts with electrostatics and subsequently develops the Maxwell equations. Topics: electrostatics, dielectrics, magnetostatics, electrodynamics, radiation, wave propagation in various media, wave optics, diffraction and interference. A number of applications of electrodynamics and optics in modern physics are discussed. Recommended Prep: Physics 15a, b, and c, or written permission of the Head Tutor; Mathematics 21a, b or equivalent. Additional Course Attributes: Attribute Value(s) FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level For Undergraduate and Graduate Students HARVARD UNIVERSITY Page 2631 of 3410 5/5/2020 11:40 AM Physics 175 Laser Physics and Modern Optical Physics (121941) Markus Greiner 2021 Spring (4 Credits) Schedule: WF 0130 PM - 0245 PM Instructor Permissions: None Enrollment Cap: n/a Introduction to laser physics and modern optical physics aimed at advanced undergraduates. Review of electromagnetic theory and relevant aspects of quantum mechanics. Wave nature of light. Physics of basic optical elements. Propagation of focused beams, optical resonators, dielectric waveguides. Interaction of light with matter, introduction to quantum optics. Lasers. Physics of specific laser systems. Introduction to nonlinear optics. Modern applications. Recommended Prep: Physics 15b, 15c, 143a, or permission of the instructor. Additional Course Attributes: Attribute Value(s) FAS: Course Level For Undergraduate and Graduate Students FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration Physics 181 Statistical Mechanics and Thermodynamics (143450) Matthew Schwartz 2021 Spring (4 Credits) Schedule: TR 1200 PM - 0115 PM Instructor Permissions: None Enrollment Cap: n/a This course provides an introduction to statistical mechanics and thermal physics. It surveys the fundamental elements of classical and quantum statistical mechanics (ensembles and partition functions) and thermodynamics (temperature, heat, work, free energy) and their application to a variety of physical systems. Topics covered may include heat engines, solid-state physics, blackbody radiation, phase transitions, physical chemistry, stellar physics, quantum information, Bose-Einstein condensation, and transport phenomena.  Course Notes: May not be taken for credit in addition to Engineering Sciences 181. Recommended Prep: Physics 143a or equivalent. Additional Course Attributes: Attribute Value(s) FAS Divisional Distribution Science & Engineering & Applied Science FAS: Course Level For Undergraduate and Graduate Students All: Cross Reg Availability Available for Harvard Cross Registration Physics 191 Advanced Laboratory (121993) Isaac Silvera NOT OFFERED HARVARD UNIVERSITY Page 2634 of 3410 5/5/2020 11:40 AM (or equivalent) first. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS Divisional Distribution None Quantitative Reasoning with Data Yes FAS: Course Level Primarily for Graduate Students Physics 210 General Theory of Relativity (114266) Jacob Barandes 2021 Spring (4 Credits) Schedule: MWF 0300 PM - 0415 PM Instructor Permissions: None Enrollment Cap: n/a An introduction to general relativity: the principle of equivalence, Riemannian geometry, Einstein's field equation, the Schwarzschild solution, the Newtonian limit, experimental tests, black holes. Recommended Prep: Physics 143a (quantum mechanics), 151 (mechanics) and 153 (electromagnetism), and Mathematics 21 (multivariable calculus) or equivalents. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level Primarily for Graduate Students FAS Divisional Distribution Science & Engineering & Applied Science Physics 212 Cosmology (203431) Cora Dvorkin 2020 Fall (4 Credits) Schedule: TR 1030 AM - 1145 AM Instructor Permissions: None Enrollment Cap: n/a Graduate course on Physical Cosmology. Topics will include: the physics of Inflation, Cosmic Microwave Background anisotropies, evidence for Dark Matter, discovery of the accelerated expansion of the Universe, primordial gravitational waves, gravitational lensing, likelihood analysis, structure formation. Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Graduate Students All: Cross Reg Availability Available for Harvard Cross Registration FAS Divisional Distribution Science & Engineering & Applied Science Physics 220 Fluid Dynamics (110144) HARVARD UNIVERSITY Page 2635 of 3410 5/5/2020 11:40 AM L Mahadevan 2020 Fall (4 Credits) Schedule: TBD Instructor Permissions: None Enrollment Cap: n/a Continuum mechanics; conservation of mass and momentum, energy; stress, kinematics, and constitutive equations; vector and tensor calculus. Dimensional analysis and scaling. Navier-Stokes equations, Reynolds number. Solutions for simple flow states. Low Reynolds number flows; porous media flows; lubrication theory; gravity currents. Inviscid flows, Kelvin circulation theorem, Bernoulli integrals, Vortical flows. Waves in fluids; acoustics, shocks, water waves. Airfoil theory. Boundary layers. Flow instabilities. Mixing, and turbulence in unbounded and bounded flows. Recommended Prep: Familiarity with dynamics, vectors, multivariable calculus, and partial differential equations. An undergraduate course in fluid dynamics or other continuum mechanics is strongly recommended. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS Divisional Distribution Science & Engineering & Applied Science FAS: Course Level Primarily for Graduate Students Physics 223 Electronics for Scientists (109346) Thomas Hayes Schedule: TR 0130 PM - 0545 PM 2021 Spring (4 Credits) Instructor Permissions: Instructor Enrollment Cap: 20 An introduction to electronic circuit design intended to develop circuit intuition and debugging skills through daily design exercises, discussion and hands-on lab exercises. The approach is intensely practical, minimizing theory. Moves quickly from passive circuits to discrete transistors, then concentrates on operational amplifiers, used to make a variety of circuits including integrators, oscillators, regulators, and filters. The digital half of the course treats analog-digital interfacing, emphasizes the use of microcontrollers and programmable logic devices (PLDs). Course Notes: Physics 223 is the same course as Physics 123; if you are an undergraduate student, please enroll in 123. Limited to 20 students. Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Graduate Students FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration Physics 223 Electronics for Scientists (109346) David Abrams HARVARD UNIVERSITY Page 2636 of 3410 5/5/2020 11:40 AM 2020 Fall (4 Credits) Schedule: TR 0130 PM - 0545 PM Instructor Permissions: Instructor Enrollment Cap: 20 An introduction to electronic circuit design intended to develop circuit intuition and debugging skills through daily design exercises, discussion and hands-on lab exercises. The approach is intensely practical, minimizing theory. Moves quickly from passive circuits to discrete transistors, then concentrates on operational amplifiers, used to make a variety of circuits including integrators, oscillators, regulators, and filters. The digital half of the course treats analog-digital interfacing, emphasizes the use of microcontrollers and programmable logic devices (PLDs). Course Notes: Physics 223 is the same course as Physics 123; if you are an undergraduate student, please enroll in 123. Limited to 20 students. Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Graduate Students FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration Physics 232 Advanced Electromagnetism (112263) Girma Hailu 2021 Spring (4 Credits) Schedule: MWF 0300 PM - 0415 PM Instructor Permissions: None Enrollment Cap: n/a Maxwell's equations in macroscopic media, conservation laws, Green's functions, time-dependent solutions and radiation, scattering and diffraction, and gauge invariance.   Time permitting:  geometrical optics and caustics, negative refractive index materials and radiation from rapidly accelerating charges. Recommended Prep: Physics 153 and Applied Mathematics 105a, 105b, or equivalent. Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Graduate Students All: Cross Reg Availability Available for Harvard Cross Registration FAS Divisional Distribution Science & Engineering & Applied Science Physics 247 Laboratory Course in Contemporary Physics (145024) Isaac Silvera Jenny Hoffman 2021 Spring (4 Credits) Schedule: TR 0130 PM - 0530 PM Instructor Permissions: Instructor Enrollment Cap: 20 Students carry out three experimental projects selected from those available representing condensed matter, atomic, nuclear, and particle physics. Included are pulsed nuclear magnetic resonance (with MRI), microwave spectroscopy, optical pumping, Raman scattering, scattering of laser light, nitrogen vacancies in diamond, neutron activation of radioactive isotopes, Compton scattering, relativistic mass of the LIKELY CANCELLED IN SPRING 2021 HARVARD UNIVERSITY Page 2639 of 3410 5/5/2020 11:40 AM Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level Primarily for Graduate Students FAS Divisional Distribution Science & Engineering & Applied Science Physics 253A Quantum Field Theory I (122930) Matthew Schwartz 2020 Fall (4 Credits) Schedule: TR 0130 PM - 0245 PM Instructor Permissions: None Enrollment Cap: n/a Introduction to relativistic quantum field theory. This course covers quantum electrodynamics. Topics include canonical quantization, Feynman diagrams, spinors, gauge invariance, path integrals, ultraviolet and infrared divergences, renormalization and applications to the quantum theory of the weak and gravitational forces. Recommended Prep: Physics 143a, b or equivalents. Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Graduate Students All: Cross Reg Availability Available for Harvard Cross Registration FAS Divisional Distribution Science & Engineering & Applied Science Physics 253B Quantum Field Theory II (115442) Xi Yin 2021 Spring (4 Credits) Schedule: WF 0130 PM - 0245 PM Instructor Permissions: None Enrollment Cap: n/a A continuation of Physics 253a. Topics include: the renormalization group, implications of unitarity, Yang- Mills theories, spontaneous symmetry breaking, weak interactions, anomalies, and quantum chromodynamics. Additional advanced topics may be covered depending on time and interest. Recommended Prep: Physics 253a. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level Primarily for Graduate Students FAS Divisional Distribution Science & Engineering & Applied Science Physics 253C Quantum Field Theory III (118459) Daniel Jafferis HARVARD UNIVERSITY Page 2640 of 3410 5/5/2020 11:40 AM Schedule: TR 0130 PM - 0245 PM2020 Fall (4 Credits) Instructor Permissions: None Enrollment Cap: n/a Selected advanced topics in quantum field theory, including, but not necessarily limited to: instantons, bosonization, anomalies, confinement, magnetic monopoles, large N expansions, and generalized global symmetries. Recommended Prep: Quantum field theory at the level of Physics 253a. Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Graduate Students FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration Physics 254 The Standard Model (109328) Matthew Reece 2020 Fall (4 Credits) Schedule: WF 0130 PM - 0245 PM Instructor Permissions: None Enrollment Cap: n/a The Standard Model of particle physics: theory and experimental implications. Topics include nonabelian gauge theory, spontaneous symmetry breaking, anomalies, the chiral Lagrangian, QCD and jets, collider physics and simulation, the Higgs at the LHC. Recommended Prep: Introductory relativistic field theory, at the level of Physics 253a. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS Divisional Distribution Science & Engineering & Applied Science FAS: Course Level Primarily for Graduate Students Physics 262 Statistical Mechanics (110526) Eugene Demler 2020 Fall (4 Credits) Schedule: MWF 1200 PM - 0115 PM Instructor Permissions: None Enrollment Cap: n/a Basic principles of statistical physics and thermodynamics, with applications including: the equilibrium properties of classical and quantum gases; phase diagrams, phase transitions and critical phenomena, as illustrated by the liquid-gas transition and simple magnetic models. Time permitting, introduction to nonequilibrium phenomena including Langevin dynamics and Boltzmann equation. Course Notes: Also offered as Applied Physics 284. Either course can be used to satisfy the statistical mechanics requirement in the Physics PhD program or the Applied Physics model PhD program. Recommended Prep: Physics 143a and Physics 181 or Engineering Sciences 181. HARVARD UNIVERSITY Page 2641 of 3410 5/5/2020 11:40 AM Additional Course Attributes: Attribute Value(s) FAS: Course Level Primarily for Graduate Students All: Cross Reg Availability Available for Harvard Cross Registration FAS Divisional Distribution Science & Engineering & Applied Science Physics 268R Special Topics in Quantum Matter (122818) Subir Sachdev 2020 Fall (4 Credits) Schedule: MWF 0300 PM - 0415 PM Instructor Permissions: None Enrollment Cap: n/a This is a special topics course on quantum systems of many particles, i.e. quantum matter. We will study well defined microscopic models, eg. simple spin models, representing electrons in solids or atoms in optical lattices, which will be shown, at long distances, to give rise to remarkable new excitations, from 'sound' and 'light', to fermions and even more exotic 'anyon' excitations. Often, (but not always) we will use field theory to describe this physics, which may also help demystify the origin of quantum field theory in a physical setting free from 'infinities'. This course will make contact with recent research directions such as topological order, quantum criticality and dualities.  Two criteria are applied when selecting topics. First, that they be of experimental relevance and, second, that they illustrate a central concept of quantum many body physics such as (i) the importance of locality in many body systems (ii) symmetry and its spontaneous breaking (iii) origin of gauge theories (iv) finding the right variables to describe the physics (a.k.a. dualities) (v) topological order (vi) scale invariance. Planned Topics: 1.The 1+1D transverse field Ising model - duality, fermionization, chiral symmetry. Experimental realization of "E8" in CoNb2O6. 2. Continuous symmetry breaking in 2+1D. Goldstone modes and the Anderson Tower. Non-perturbative approaches such as dualities and large-N expansions. The Mott- superfluid transition. 3. Symmetry and Topological Phases . - Integer quantum Hall effect and Chern insulators. The periodic table of topological insulators and superconductors. 4. Emergent Gauge Theories and topological order. Confinement and topological order. Chern Simons theories. Fractional quantum Hall states and gapped quantum spin liquids. Emergent electromagnetism in quantum magnets and "Spin-ice". 5. Special Topics (if time permits): Quantum entanglement in many body systems. Scale invariance. Evaluation: Assignments (roughly biweekly) and a final reading/small research project in groups of 2-3 based on enrollment. There will be no examinations. Suggested Text Books: 1. Gauge Fields and Strings: A. Polyakov HARVARD UNIVERSITY Page 2644 of 3410 5/5/2020 11:40 AM 2020 Fall (4 Credits) Schedule: MW 0900 AM - 1015 AM Instructor Permissions: None Enrollment Cap: n/a Lattices and symmetries. Phonons. Electronic Structure of Crystals. Semiclassical Transport Theory. Semiconductors. Localization. Integer Quantum Hall effect. Topological Insulators. Additional topics from the theory of interacting electrons, including introduction to magnetism and superconductivity. Recommended Prep: Physics 181 or equivalent, Applied Physics 195 or equivalent, and a graduate level quantum mechanics course similar to Physics 251a. (Physics 251b would be helpful and may be taken concurrently.) Additional Course Attributes: Attribute Value(s) FAS Divisional Distribution Science & Engineering & Applied Science All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level Primarily for Graduate Students Schedule: MW 1200 PM - 0115 PM Physics 295B Quantum Theory of Solids (127979) Yahui Zhang 2021 Spring (4 Credits) Instructor Permissions: None Enrollment Cap: n/a This course presents theoretical description of solids focusing on the effects of interactions between electrons. Topics include Fermi liquid theory, dielectric response and RPA approximation, ferro and antiferromagnetism, RKKY interactions and Kondo effect, electron-phonon interactions and superconductivity. Course Notes: Physics 295b is also offered as Applied Physics 295b. Students may not take both for credit. Recommended Prep: Physics 251a,b, an introductory course in solid state physics, or permission of instructor. Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level Primarily for Graduate Students FAS Divisional Distribution Science & Engineering & Applied Science Physics 300C Course-Related Work (210875) 2021 Spring (4 Credits) Schedule: Instructor Permissions: None Enrollment Cap: n/a Additional Course Attributes: Attribute Value(s) FAS: Course Level Graduate Course HARVARD UNIVERSITY Page 2645 of 3410 5/5/2020 11:40 AM All: Cross Reg Availability Not Available for Cross Registration FAS Divisional Distribution None Physics 300C Course-Related Work (210875) 2020 Fall (4 Credits) Schedule: Instructor Permissions: None Enrollment Cap: n/a Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Not Available for Cross Registration FAS Divisional Distribution None FAS: Course Level Graduate Course Physics 300R Research-Related Work (210873) 2020 Fall (4 Credits) Schedule: Instructor Permissions: None Enrollment Cap: n/a Additional Course Attributes: Attribute Value(s) FAS: Course Level Graduate Course FAS Divisional Distribution None All: Cross Reg Availability Not Available for Cross Registration Physics 300R Research-Related Work (210873) 2021 Spring (4 Credits) Schedule: Instructor Permissions: None Enrollment Cap: n/a Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Not Available for Cross Registration FAS: Course Level Graduate Course FAS Divisional Distribution None Physics 300T Teaching-Related Work (210874) 2020 Fall (4 Credits) Schedule: Instructor Permissions: None Enrollment Cap: n/a HARVARD UNIVERSITY Page 2646 of 3410 5/5/2020 11:40 AM Additional Course Attributes: Attribute Value(s) FAS: Course Level Graduate Course FAS Divisional Distribution None All: Cross Reg Availability Not Available for Cross Registration Physics 300T Teaching-Related Work (210874) 2021 Spring (4 Credits) Schedule: Instructor Permissions: None Enrollment Cap: n/a Additional Course Attributes: Attribute Value(s) FAS Divisional Distribution None All: Cross Reg Availability Not Available for Cross Registration FAS: Course Level Graduate Course Physics 301A Experimental Atomic and Elementary Particle Physics (110965) Gerald Gabrielse 2021 Spring (4 Credits) Schedule: TBD Instructor Permissions: None Enrollment Cap: n/a Additional Course Attributes: Attribute Value(s) All: Cross Reg Availability Available for Harvard Cross Registration FAS: Course Level Graduate Course FAS Divisional Distribution None Physics 301A Experimental Atomic and Elementary Particle Physics (110965) Gerald Gabrielse 2020 Fall (4 Credits) Schedule: TBD Instructor Permissions: Instructor Enrollment Cap: n/a Additional Course Attributes: Attribute Value(s) FAS Divisional Distribution None FAS: Course Level Graduate Course All: Cross Reg Availability Available for Harvard Cross Registration