Physical Sciences 2. Mechanics, Elasticity, Fluids, and Diffusion
Catalog Number: 6053
Logan S. McCarty and Melissa Franklin
Half course (fall term). Tu., Th., 9:30-11, and a weekly section and lab to be arranged. EXAM GROUP: 11, 12
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.
Note: This course, when taken for a letter grade, meets the General Education requirement for Science of the Physical Universe or Empirical and Mathematical Reasoning, but not both.
This course, when taken for a letter grade, meets the Core area requirement for Science A.
Prerequisite: Physical Sciences 1 (or Chemistry 7), Mathematics 1b, or the equivalent.
Physical Sciences 3. Electromagnetism, Circuits, Waves, Optics, and Imaging
Catalog Number: 5262
Logan S. McCarty
Half course (spring term). Tu., Th., 9:30-11, and a weekly section and lab to be arranged. EXAM GROUP: 11, 12
This course is an introduction to electromagnetism, digital information, waves, optics and sound. Topics 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.
Note: 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. This course, when taken for a letter grade, meets the General Education requirement for Science of the Physical Universe or Empirical and Mathematical Reasoning, but not both. This course, when taken for a letter grade, meets the Core area requirement for Science A.
Prerequisite: Physical Sciences 2 (or Physics 1a or 11a), Mathematics 1b, or equivalent.
Physical Sciences 10. Chemistry: A Microscopic Perspective on Molecules, Materials, and Life - (New Course)
Catalog Number: 75544
Adam E. Cohen and Logan S. McCarty
Half course (fall term). M., W., F., at 10 and a weekly section and lab to be arranged. EXAM GROUP: 3
An introduction to the fundamental theories of quantum mechanics and statistical mechanics and their role in governing the behavior of matter. The course begins with the quantum behavior of a single electron and develops the elements of the periodic table, the nature of the chemical bond, and the bulk properties of materials. Applications include seminconductor electronics, solar energy conversion, medical imaging, and the stability and dynamism of living systems. Calculus will be used extensively.
Note: Physical Sciences 10 and Physical Sciences 11 may be taken in any order. The general chemistry requirement for medical school can be satisfied with any two of the following courses: Life and Physical Sciences A, Life Sciences 1a, Physical Sciences 1, Physical Sciences 10, or Physical Sciences 11.
Prerequisite: A strong background in chemistry (Chemistry AP score of 5, or Physical Sciences 1, or equivalent preparation), mathematics at the level of Mathematics 1b (may be taken concurrently), and some familiarity with physics (force, energy, work, and electric charge).
Physical Sciences 11. Foundations and Frontiers of Modern Chemistry: A Molecular and Global Perspective - (New Course)
Catalog Number: 24022
James G. Anderson and Gregory C. Tucci
Half course (spring term). M., W., F., at 10 and a weekly section and lab to be arranged. EXAM GROUP: 3
The Physical Sciences hold the key to solving unprecedented problems at the intersection of science, technology, and an array of rapidly emerging global scale challenges. The course emphasizes a molecular scale understanding of energy and entropy; free energy in equilibria, acid/base reactivity, and electrochemistry; molecular bonding and kinetics; catalysis in organic and inorganic systems; the union of quantum mechanics, nanostructures, and photovoltaics; and the analysis of nuclear energy. Case studies are used both to develop quantitative reasoning and to directly link these principles to global strategies.
Note: Physical Sciences 10 and Physical Sciences 11 may be taken in any order. The general chemistry requirement for medical students can be satisfied with any two of the following courses: Life and Physical Sciences A, Life Sciences 1a, Physical Sciences 1, Physical Sciences 10, or Physical Sciences 11.
This course, when taken for a letter grade, meets the General Education requirement for Science of the Physical Universe or the Core area requirement for Science A.
Prerequisite: A strong background in chemistry. Students are expected to have had Honors or AP-level high school chemistry preparation or a placement score of 650 or better on the Harvard Chemistry Placement exam. A few operations of calculus are developed and used. Fluency in pre-calculus secondary school mathematics is assumed.
Physics 11a. Mechanics
Catalog Number: 3131
Joao Pedro Guimaraes da Costa
Half course (fall term). Tu., Th., 11:30-1,and a weekly 90-minute section to be arranged. EXAM GROUP: 13, 14
Physics 11a is the first half of a one-year physics sequence. It introduces classical mechanics, including the laws of conservation of energy, momentum, and angular momentum; translational motion of particles, rigid bodies, and fluids; rotational motion of rigid bodies; and description of waves. Physics 11a may be taken by students who have taken or who are concurrently taking Math 1b. Calculus is used routinely but the emphasis is placed on the basic concepts.
Note: Physics 11a may not be taken for credit by students who have passed Physics 15a or 16. This course, when taken for a letter grade, meets the General Education requirement for Science of the Physical Universe or Empirical and Mathematical Reasoning, but not both. This course, when taken for a letter grade, meets the Core area requirement for Science A.
Physics 11b. Electricity, Magnetism, and Waves
Catalog Number: 5472
Masahiro Morii
Half course (spring term). Tu., Th., 9:30–11; Tu., 3–4:30; Tu., 4:30–6. EXAM GROUP: 11, 12
Physics 11b is the second half of a one-year physics sequence. It covers the basic phenomena of electricity and magnetism, elements of circuits with selected applications, Maxwell’s equations, electromagnetic waves, and optics.
Note: May not be taken for credit by students who have passed Physics 15b or Physics 15c. This course, when taken for a letter grade, meets the General Education requirement for Science of the Physical Universe or Empirical and Mathematical Reasoning, but not both. This course, when taken for a letter grade, meets the Core area requirement for Science A.
Prerequisite: Physics 11a; Mathematics 1b. Additionally, some elementary ideas from multivariable calculus will be used and students are encouraged to take Mathematics 19a, 21a or Applied Mathematics 21a concurrently.
Physics 15a. Introductory Mechanics and Relativity
Catalog Number: 1984
Aravinthan Samuel, Melissa Franklin and Amir Yacoby (fall term), and Cumrun Vafa and Robert Westervelt (spring term)
Half course (fall term; repeated spring term). Tu., Th., 11:30-1. EXAM GROUP: 13, 14
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, oscillations, simple harmonic motions; gravitation, planetary motion; fluids; special relativity.
Note: Laboratory sessions may be arranged. This course, when taken for a letter grade, meets the General Education requirement for Science of the Physical Universe or Empirical and Mathematical Reasoning, but not both. This course, when taken for a letter grade, meets the Core area requirement for Science A.
Prerequisite: 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.
Physics 15b. Introductory Electromagnetism
Catalog Number: 2701
David J. Morin (fall and spring term), Mara Prentiss (fall term), and Amir Yacoby (spring term)
Half course (fall term; repeated spring term). Tu., Th., 11:30-1. EXAM GROUP: 13, 14
Electricity and magnetism. Topics include electrostatics, electric currents, magnetic field, electromagnetic induction, Maxwell’s equations, electromagnetic radiation, and electric and magnetic fields in materials.
Note: Four laboratory experiments, plus one introductory laboratory session, support the material presented in the lectures and the text. This course, when taken for a letter grade, meets the General Education requirement for Science of the Physical Universe or Empirical and Mathematical Reasoning, but not both. This course, when taken for a letter grade, meets the Core area requirement for Science A.
Prerequisite: 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.
Physics 15c. Wave Phenomena
Catalog Number: 8676
Jennifer E. Hoffman, Markus Greiner (fall term), and Vinothan N. Manoharan (spring term)
Half course (fall term; repeated spring term). Fall: Tu., Th., 1:30–3; M., at 7 p.m.; Th., at 7 p.m.; Spring: Tu., Th., 1–2:30; M., at 7 p.m.; Th., at 7 p.m. EXAM GROUP: 15, 16
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, and solitons.
Note: The Laboratory section of the course will be taught at the Science Center. The labs will be carried out in 3-hour sessions once a week for up to 8 weeks during the semester.
This course, when taken for a letter grade, meets the General Education requirement for Science of the Physical Universe or Empirical and Mathematical Reasoning, but not both.
This course, when taken for a letter grade, meets the Core area requirement for Science A.
Prerequisite: Physics 15a, Physics 15b, or written permission of the Head Tutor in Physics. Mathematics preparation at least at the level of Mathematics 21b taken concurrently is required. Some prior knowledge of complex numbers (for example as taught in Mathematics 1b) is helpful. Linear algebra and differential equations are used extensively. Students taking Mathematics 21b concurrently will likely find that some concepts are introduced in Physics 15c before they have seen them in Mathematics 21b. Some students may wish to postpone Physics 15c until they have completed Mathematics 21b.
Physics 16. Mechanics and Special Relativity
Catalog Number: 2019
Howard Georgi
Half course (fall term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
Newtonian mechanics and special relativity for students with good preparation in physics and mathematics at the level of the advanced placement curriculum. Topics include oscillators damped and driven and resonance (how to rock your car out of a snow bank or use a swing), an introduction to Lagrangian mechanics and optimization, symmetries and Noether’s theorem, special relativity, collisions and scattering, rotational motion, angular momentum, torque, the moment of inertia tensor (dynamic balance), gravitation, planetary motion, and a quantitative introduction to some of the mind-bending ideas of modern cosmology like inflation and dark energy.
Note: Laboratory sessions may be arranged. Emphasis is placed on collaborative teaching and learning. Many class materials are Mathematics notebooks. This course, when taken for a letter grade, meets the General Education requirement for Science of the Physical Universe or Empirical and Mathematical Reasoning, but not both. This course, when taken for a letter grade, meets the Core area requirement for Science A.
Prerequisite: Score of 5 on the mechanics section of the Physics C Advanced Placement exam, or equivalent. Mathematics preparation at least at the level of Mathematics 21a taken concurrently is required. Thorough knowledge of calculus of one variable and vectors plus some mathematical sophistication. The mathematical level will be significantly higher than that of Physics 15a.
*Physics 90r. Supervised Research
Catalog Number: 2460
David J. Morin and members of the Department
Half course (fall term; repeated spring term). Hours to be arranged.
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.
Note: 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.
*Physics 91r. Supervised Reading Course for Undergraduates
Catalog Number: 1218
David J. Morin and members of the Department
Half course (fall term; repeated spring term). Hours to be arranged.
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.
Note: 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.
*Physics 95. Topics in Current Research
Catalog Number: 2806 Enrollment: Limited to 10.
Isaac F. Silvera
Half course (fall term). Section i: M., 2:30-4; Section ii: W., 7:30-9 p.m.
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.
Note: Primarily for junior and senior concentrators. First class meeting M 2:30-4. Monday class time to be rescheduled to fit everyone’s schedule.
Physics 125. Widely Applied Physics
Catalog Number: 6990
Mara Prentiss
Half course (spring term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Applies elementary physics to real things and practical situations. Emphasis is on developing physical intuition and the ability to do order-of-magnitude calculations. New physical concepts are introduced as necessary. Example topics: the Big Bang, stars, nuclear reactions, and searches for extra-solar planets; aerodynamics, rockets and spacecraft; materials properties; transistors and electronics; electronic noise, lasers, and the global positioning system; magnetic resonance imaging, physiology of major organs, and health risks; energy use and production; climate and global change.
Note: This course, when taken for a letter grade, meets the General Education requirement for Science of the Physical Universe or the Core area requirement for Science A.
Prerequisite: Physics 15a, b, c, and mathematics at the level of Mathematics 21a (which may be taken concurrently). Physics 143a and 181 helpful, but not required.
Physics 129. Energy Science
Catalog Number: 42157
Lene V. Hau
Half course (spring term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
Non-fossil energy sources and energy storage are important for our future. We cover four main subjects to which students with a background in physics and physical chemistry could make paradigm changing contributions: photovoltaic cells, nuclear power, batteries, and photosynthesis. Fundamentals of electrodynamics, statistical/thermal physics, and quantum mechanics are taught as needed to give students an understanding of the topics covered.
Prerequisite: Physics 15a (or 16), 15b,c or 11a,b. Pre/co-requisite Physics 143a or Chemistry 160 or equivalent.
[Physics 136. Physics of Medical Imaging]
Catalog Number: 0182
Andrew J. M. Kiruluta (Medical School)
Half course (fall term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
This course presents the underlying physics of modern medical diagnostic imaging techniques. We will explore the physics of diagnostic imaging from a unified electromagnetics’ viewpoint ranging from a simple mapping of radiation attenuation coefficients in X-ray, to resonance absorption in a nuclear magnetic resonance (NMR) induced inhomogeneously broadened RF absorber. The bulk of the course will focus on the powerful technique of NMR imaging. Flexibility exists to vary the depth of each area depending on background and experience of the students.
Note: Expected to be given in 2012–13.
Prerequisite: Physics 15b or 11b and mathematics preparation at least to the level of Mathematics 21b taken concurrently. Physics 143a and b are recommended but not essential.
Physics 140. Physical Biology and Biological Physics
Catalog Number: 5394
Aravinthan D. T. Samuel
Half course (spring term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
We will discuss how theoretical and experimental tools derived from physics--in particular, statistical mechanics, fluid mechanics, optics and imaging--have been used to gain insight into molecular and cellular biology. We will also discuss a few cases where the study of biological materials (e.g. polymers and membranes) has inspired new developments in physics. In all cases, the relevant topics in physics and biology will be taught from first principles.
Note: Given in alternate years. Lectures, problem sets, discussions. May not be taken for credit by students who have taken MCB 140.
Prerequisite: Physics 15a.b.
[Physics 141. The Physics of Sensory Systems in Biology]
Catalog Number: 1284 Enrollment: Limited to 15.
Aravinthan D. T. Samuel
Half course (fall term). Hours to be arranged.
Living organisms use sensory systems to inform themselves of the sights, sounds, and smells of their surrounding environments. Sensory systems are physical measuring devices, and are therefore subject to certain limits imposed by physics. Here we will consider the physics of sensory measurement and perception, and study ways that biological systems have solved their underlying physical problems. We will discuss specific cases in vision, olfaction, and hearing from a physicist’s point of view.
Note: Expected to be given in 2012–13.
Prerequisite: Physics 11a,b or 15 a,b,c required. Physics 181 recommended, but not required.
Physics 143a. Quantum Mechanics I
Catalog Number: 1050
John M. Doyle (spring term) and Gerald Gabrielse (fall term)
Half course (fall term; repeated spring term). Spring: Tu., Th., 10–11:30. EXAM GROUP: Spring: 12, 13
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; time-independent perturbation theory; scattering.
Prerequisite: Linear algebra including matrix diagonalization; Physics 15c or written permission of the Head Tutor.
Physics 143b. Quantum Mechanics II
Catalog Number: 0253
Subir Sachdev
Half course (fall term). Tu., Th., 10-11:30, and a weekly section to be arranged. EXAM GROUP: 12, 13
Time dependent perturbation theory, resonance, spin-1/2 systems, harmonic excitation; identical particles; emission and absorption of radiation; scattering, partial wave analysis, the Born approximation, scattering length; other topics as time permits including density matrix, entanglement, quantum computing, decoherence, tensor operators.
Prerequisite: Physics 143a.
Physics 145. Elementary Particle Physics
Catalog Number: 6057
Masahiro Morii
Half course (spring term). Lecture meets M.,W., (F.,) at 10; seminars and sections Tu., Th., 7:30-9 pm, as needed. EXAM GROUP: 3
Introduction to elementary particle physics. Emphasis is on concepts and phenomenology rather than on a detailed calculational development of theories. Starts with the discovery of the electron in 1897, ends with the theoretical motivation for the Higg’s boson, and attempts to cover everything important in between. Taught partly in seminar mode, with each student presenting a classic paper of the field.
Prerequisite: Physics 143a. Physics 143b or equivalent is useful.
Physics 151. Mechanics
Catalog Number: 2068
Arthur M. Jaffe
Half course (fall term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
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.
Prerequisite: Physics 15a, 15b or written permission of the Head Tutor; Mathematics 21a, b or equivalent.
Physics 153. Electrodynamics
Catalog Number: 0264
Gary J. Feldman
Half course (spring term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
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.
Prerequisite: Physics 15a, b, and c, or written permission of the Head Tutor; Mathematics 21a, b or equivalent.
Physics 165. Modern Atomic, Molecular, and Optical Physics - (New Course)
Catalog Number: 16952
John M. Doyle
Half course (fall term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
Includes the use of coherent electromagnetic radiation to probe and control atomic systems, use of traps to isolate atoms, molecules, and elementary particles for studies of ultracold quantum degenerate matter and precision tests of the standard model; resonance methods. Goals of course include acquainting student with these and other modern research topics while providing the foundations of modern atomic, molecular and optical physics research.
Prerequisite: Physics 143a and 143b.
[Physics 167. Condensed Matter Physics of Modern Technologies]
Catalog Number: 4654
Instructor to be determined
Half course (fall term). Hours to be arranged.
This course will explore how recent developments in condensed matter physics are expanding the frontiers of modern technologies. We will review semiconducting, magneto- and optoelectronic devices, magnetoresistive materials, carbon nanotubes, and high temperature superconductors. Technologies in the earliest stages of their development, such as nanotechnology, quantum computations and communication, will also be discussed.
Note: Expected to be given in 2012–13.
Prerequisite: Quantum mechanics (Physics 143a).
Physics 175. Laser Physics and Modern Optical Physics
Catalog Number: 9076
Markus Greiner
Half course (spring term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
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.
Prerequisite: Physics 15b, 15c, 143a, or permission of the instructor.
Physics 181. Statistical Mechanics and Thermodynamics
Catalog Number: 6346
Erel Levine
Half course (spring term). M., W., F., at 11. EXAM GROUP: 4
Introduction to thermal physics: basic concepts of thermodynamics (energy, heat, work, temperature, and entropy), classical and quantum ensembles and partition functions. Applications include theory of solids (Debye and Einstein); black body radiation (Planck); classical and quantum gases and liquids; magnetism and phase transitions; biological molecules and signals.
Note: May not be taken for credit in addition to Engineering Sciences 181.
Prerequisite: Physics 143a or equivalent.
*Physics 191r. Advanced Laboratory
Catalog Number: 7711 Enrollment: Together with Physics 247r, limited to a total of 24 students.
Peter S. Pershan and Robert M. Westervelt (fall term), Isaac F. Silvera, Mikhail Lukin and Ronald Walsworth (spring term)
Half course (fall term; repeated spring term). Tu., Th., 1–5. EXAM GROUP: Fall: 15, 16, 17; Spring: 15, 16, 17, 18
Students carry out three experimental projects selected from those available representing condensed matter, atomic, nuclear, and particle physics. Included are nuclear magnetic resonance, microwave spectroscopy, optical pumping, scattering of laser light, neutron activation of radioactive isotopes, Compton scattering of gamma rays, the relativistic mass of the electron, recoil free gamma-ray resonance, the lifetime of the muon, studies of superfluid helium, positron annihilation superconducting transitions, the quantum Hall effect, and properties of semiconductors. The facilities of the laboratory include several computer controlled experiments as well as computers for analysis.
Note: A substantial amount of outside reading is expected.
Prerequisite: Physics 15a or 16, 15b, 15c. Physics 143a is highly recommended.
[Physics 195. Introduction to Solid State Physics]
Catalog Number: 2978
Instructor to be determined
Half course (spring term). Hours to be arranged.
Fundamental physical properties of crystalline solids discussed in terms of the basic principles of classical and quantum physics. Crystal structure, lattice vibrations, specific heat, energy band theory of metals and semiconductors and insulators, electrical transport in metals and semiconductors, optical and magnetic properties, and superconductivity.
Note: Expected to be given in 2012–13. Designed as a first course in solid state physics for students with knowledge of elementary quantum mechanics (Physics 143a). Some knowledge of statistical physics (Physics 181) is also helpful, but not a formal prerequisite. Students who propose to take Applied Physics 295a in the spring term, and who have not previously taken a formal course in solid state physics, are strongly advised to take this course first. It is suggested that students may wish to take Applied Physics 195 when this course is bracketed.
Physics 211r (formerly Physics 211). Black Holes from A to Z
Catalog Number: 0469
Andrew Strominger
Half course (spring term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
A survey of black holes focusing on the deep puzzles they present concerning the relations between general relativity, quantum mechanics and thermodynamics. This is the second semester of a two semester sequence and will primarily concern quantum aspects of black holes. Topics include: the information puzzle, the Bekenstein-Hawking entropy/area law, microstate counting, asymptotic symmetries, holography, Kerr/CFT and applications to condensed matter and fluid dynamics. Parallel issues arising in cosmologies with event horizons will also be covered.
Prerequisite: General relativity at level of Physics 210 or equivalent. Physics 253a helpful, but not required.
[*Physics 215. Biological Dynamics]
Catalog Number: 90876 Enrollment: Open to undergraduates with instructor permission.
Erel Levine
Half course (fall term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
Develops theoretical basis for modeling and quantitative analysis of biological problems. Emphasis on contemporary research topics, including molecular, cellular and tissue dynamics; development and differentiation; signal- and mechano-transduction; individuals, populations and environments.
Note: Expected to be given in 2012–13. It is suggested that students may wish to take AP215 when this course is bracketed. May not be taken for credit in addition to AP215.
Prerequisite: Knowledge of differential equations and statistical mechanics at undergraduate level.
Physics 216. Mathematics of Modern Physics - (New Course)
Catalog Number: 85954
Arthur M. Jaffe
Half course (spring term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
Introduction to functional analytic methods relevant for problems in quantum and statistical physics. Properties of linear transformations on Hilbert space. Generators of continuous groups and semigroups. Properties of Green’s functions and matrices. Uniqueness and non-uniqueness of ground states and equilibrium states. Heat kernel methods. Index theory, invariants, and related algebraic structure. The KMS condition and its consequences.
Prerequisite: Familiarity with quantum theory at an undergraduate level.
Physics 232 (formerly Physics 232a). Advanced Classical Electromagnetism
Catalog Number: 4885
Jacob Barandes
Half course (spring term). M., W., F., at 10. EXAM GROUP: 3
Maxwell’s equations in free space and in macroscopic media; conservation laws; time-dependent solutions and radiation; scattering and diffraction. Additional topics may include Lorentz transformations and radiation from rapidly moving accelerating charges; waves in a dispersive medium; wave guides.
Prerequisite: Physics 153 and Applied Math 105a, 105b, or equivalent.
Physics 245. Particle Physics - (New Course)
Catalog Number: 80241
Joao Pedro Guimaraes da Costa
Half course (spring term). Tu., 2–4. EXAM GROUP: 16, 17
Experiments at the Large Hadron Collider may significantly change our understanding of elementary particle physics. An introduction to particle physics with focus on collider physics aimed at first-year graduate students who want to understand or work in LHC physics. Topics include electroweak interactions and electroweak symmetry breaking, quantum chromodynamics, parton distribution functions, and heavy quark production and decay. Theoretical and experimental aspects will be interwoven. Depending on the size of the class, the course will be taught partly in seminar mode, with students presenting an in-depth study into relevant topics. Course complementary to a quantum field theory course.
Prerequisite: Prerequisite: Physics 143b or equivalent undergraduate full year quantum mechanics course. Physics 145 recommended or undergraduate particle physics course at the level of Griffiths, but not required.
*Physics 247r. Laboratory Course in Contemporary Physics
Catalog Number: 8665 Enrollment: Together with Physics 191r, limited to a total of 24 students.
Peter S. Pershan and Robert M. Westervelt (fall term), Isaac F. Silvera, Mikhail Lukin and Ronald Walsworth (spring term)
Half course (fall term; repeated spring term). Tu., Th., 1–5. EXAM GROUP: Fall: 15, 16, 17; Spring: 15, 16, 17, 18
Three experimental projects are selected representing condensed matter, atomic, nuclear, and particle physics. Examples: experiments on NMR, microwave spectroscopy, optical pumping, scattering of laser light, neutron activation, Compton scattering of gamma rays, relativistic mass of the electron, recoil-free gamma ray resonance, lifetime of the muon, superfluid helium, superconducting transitions, and properties of semiconductors.
Note: A substantial amount of outside reading may be required.
[Physics 248. Phenomena of Elementary Particle Physics ]
Catalog Number: 5431
Instructor to be determined
Half course (fall term). Hours to be arranged.
Topics in the phenomena of elementary particle physics, including weak interactions, QCD, deep inelastic scattering and nucleon structure functions, and heavy quark production and decay.
Note: Expected to be given in 2012–13.
Prerequisite: Physics 145 or equivalent, i.e. a course at the level of Griffiths, Introduction to Elementary Particles.
Physics 251a. Advanced Quantum Mechanics I
Catalog Number: 2191
Bertrand I. Halperin
Half course (fall term). M., W., F., at 12. EXAM GROUP: 5
Basic course in nonrelativistic quantum mechanics. Review of wave functions and the Schrödinger Equation; Hilbert space; the WKB approximation; central forces and angular momentum; scattering; electron spin; measurement theory; the density matrix; time-independent perturbation theory.
Prerequisite: Physics 143a, b or equivalent, or permission of instructor.
Physics 251b. Advanced Quantum Mechanics II
Catalog Number: 2689
Bertrand I. Halperin
Half course (spring term). M., W., F., at 12. EXAM GROUP: 5
Heisenberg picture; time-dependent perturbations; inelastic scattering; degenerate harmonic oscillators; electrons in a uniform magnetic field; quantized radiation field; absorption and emission of radiation; identical particles and second quantization; symmetry principles; Feynman Path integrals.
Prerequisite: Physics 251a.
Physics 253a. Quantum Field Theory I
Catalog Number: 8050
Matthew D. Schwartz
Half course (fall term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
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.
Prerequisite: Physics 143a,b or equivalents.
Physics 253b. Quantum Field Theory II
Catalog Number: 5250
Xi Yin
Half course (spring term). Tu., Th., 1–2:30. EXAM GROUP: 15, 16
A continuation of Physics 253a. spontaneous symmetry breaking and Goldstone bosons, chiral anomalies, effective field theory, non-Abelian gauge theories, the Higgs mechanism, and an introduction to the standard model, quantum chromodynamics and grand unification. Other possible subjects include solitons, quantum gravity, conformal field theory, supersymmetry and applications to condensed matter physics.
Prerequisite: Physics 253a.
[Physics 253c. Quantum Field Theory III]
Catalog Number: 4000
Lisa Randall
Half course (fall term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
This course explores advanced topics in quantum field theory. Possible topics include semi-classical methods, tunneling in flat and curved spaces, topological defects, lattice gauge theories, conformal field theories in diverse dimensions, large N and string description of gauge theory, the AdS/CFT correspondence, and supersymmetric gauge theories in four dimensions.
Note: Expected to be given in 2012–13.
Prerequisite: Physics 253b.
[Physics 262. Statistical Physics]
Catalog Number: 1157
David R. Nelson
Half course (fall term). M., W., F., at 11. EXAM GROUP: 4
Basic principles of statistical physics and thermodynamics, with applications including: the equilibrium properties of classical and quantum gases, phase transitions and critical phenomena, as illustrated by the liquid-gas transition and simple magnetic models. Our treatment will include Bose-Einstein condensation and degenerate Fermi gases.
Note: Expected to be given in 2012–13. Students may wish to take Applied Physics 284 when this course is bracketed.
Prerequisite: Physics 143a and Physics 181 or Engineering Sciences 181.
Physics 268r. Special Topics in Condensed Matter Physics. Quantum Many- Body Systems
Catalog Number: 7951
Eugene A. Demler
Half course (spring term). Tu., Th., 11:30–1. EXAM GROUP: 13, 14
Field theory methods and Green’s function approach to quantum many-body systems. Subjects discussed will include interacting electron and phonon systems, magnetism and superconductivity, systems with disorder, low dimensional systems, systems of ultracold atoms, nonequilibrium phenomena.
Prerequisite: Applied Physics 295a or equivalent.
Physics 269r. Topics in Statistical Physics and Physical Biology
Catalog Number: 6214
David R. Nelson
Half course (spring term). M., W., F., at 11. EXAM GROUP: 4
Introduction to strongly interacting soft condensed matter and biophysical systems. We begin with the physics of cells and related single molecule experiments on bio-polymers such as DNA, RNA and proteins. A major part of the course will then focus on genetic engineering, and the non-equilibrium statistical dynamics of genetic circuits and neural networks.
Prerequisite: Physics 262, Applied Physics 284 or equivalent.
[Physics 270. Mesoscopic Physics and Quantum Information Processing]
Catalog Number: 0788
Charles M. Marcus
Half course (spring term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
Introduces the subject of quantum effects in electronic systems, including conductance fluctuations, localization, electron interference, and many-body effects such as the Kondo effect. This year, we will also focus on solid state implementations of quantum information processing systems.
Note: Expected to be given in 2012–13. The reading list focuses primarily on the experimental literature, augmented by recent texts and reviews. The format of the course is a combination of lectures and journal-club-style presentations. A term paper on a topic within mesoscopic condensed matter physics or quantum information will allow for deeper exploration. Given in alternate years.
Prerequisite: Basic familiarity with quantum mechanics and solid state physics at the level of undergraduate courses.
[Physics 271 (formerly Physics 287). Topics in the Physics of Quantum Information]
Catalog Number: 7647
Mikhail D. Lukin
Half course (fall term). M., W., 12–1:30. EXAM GROUP: 5, 6
Introduction to physics of quantum information, with emphasis on ideas and experiments ranging from quantum optics to condensed matter physics. Background and theoretical tools will be introduced. The format is a combination of lectures and class presentations.
Note: Expected to be given in 2012–13.
Prerequisite: Quantum mechanics at the level of introductory graduate courses.
[Physics 283b. Beyond the Standard Model]
Catalog Number: 7153
Instructor to be determined
Half course (fall term). Hours to be arranged.
Covers current advances in particle physics beyond the Standard Model. Topics could include supersymmetry, the physics of extra dimensions, experimental searches, including for T violation, and connections between particle physics and cosmology.
Note: Expected to be given in 2012–13.
Physics 284. Strongly Correlated Systems in Atomic and Condensed Matter Physics
Catalog Number: 4673
Eugene A. Demler
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Explores an emerging interface involving strongly correlated systems in atomic and condensed matter physics. Topics include bosonic and fermionic Hubbard models, strongly interacting systems near Feshbach resonances, magnetism of ultracold atoms, quantum spin systems, low dimenstional systems, non-equilibrium coherent dynamics.
Prerequisite: Graduate quantum mechanics or permission of instructor.
[Physics 285a. Modern Atomic and Optical Physics I]
Catalog Number: 8204
Gerald Gabrielse
Half course (spring term). M.,W., 12-1:30. EXAM GROUP: 5, 6
Introduction to modern atomic physics. The fundamental concepts and modern experimental techniques will be introduced. Topics will include two-state systems, magnetic resonance, interaction of radiation with atoms, transition probabilities, spontaneous and stimulated emission, dressed atoms, trapping, laser cooling of “two-level” atoms, structure of simple atoms, fundamental symmetries, two-photon excitation, light scattering and selected experiments. The first of a two-term subject sequence that provides the foundations for contemporary research.
Note: Expected to be given in 2012–13.
Prerequisite: One course in quantum mechanics (143a and b, or equivalent).
Physics 285b. Modern Atomic and Optical Physics II
Catalog Number: 4195
Mikhail D. Lukin
Half course (fall term). M., W., 12-1:30. EXAM GROUP: 5, 6
Introduction to quantum optics and modern atomic physics. The basic concepts and theoretical tools will be introduced. Topics will include coherence phenomena, non-classical states of light and matter, atom cooling and trapping and atom optics. The second of a two-term subject sequence that provides the foundations for contemporary research.
Prerequisite: A course in electromagnetic theory (Physics 232a or equivalent); one half-course in intermediate or advanced quantum mechanics.
Physics 287a. Introduction to String Theory
Catalog Number: 2012
Xi Yin
Half course (fall term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
Introduction to the perturbative formulation of string theories and dualities. Quantization of bosonic and superstrings, perturbative aspects of scattering amplitudes, supergravity, D-branes, T-duality and mirror symmetry. Also a brief overview of recent developments in string theory.
Prerequisite: Physics 253a, b or equivalent.
[Physics 287br. Topics in String Theory]
Catalog Number: 4555
Xi Yin
Half course (fall term). Tu., Th., 2:30–4. EXAM GROUP: 16, 17
A selection of topics from current areas of research on string theory.
Note: Expected to be given in 2012–13.
Prerequisite: Physics 287a.
[Physics 289r. Euclidean Random Fields, Relativistic Quantum Fields and Positive Temperature]
Catalog Number: 6400
Arthur M. Jaffe
Half course (spring term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
The course will give the reconstruction of relativistic quantum fields from Euclidean fields as well as the relation between representations of the Poincaré group to those of Euclidean group. Related topics are reflection positivity and Osterwalder-Schrader quantization, and supersymmetry, some of which will be covered.
Note: Expected to be given in 2012–13.
Prerequisite: Physics 253a
Physics 295a. Introduction to Quantum Theory of Solids - (New Course)
Catalog Number: 10292
Efthimios Kaxiras
Half course (spring term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Properties of solids, electrical, optical, thermal, magnetic, mechanical, are treated based on an atomic scale picture and using the single electron approximation. Metals, semiconductors, and insulators are covered. including special topics such as superconductivity.
Prerequisite: Applied Physics 195 or equivalent, and one full quantum mechanics graduate level course similar to Physics 251a. Physics 251b may be taken concurrently.
[Physics 295b. Quantum Theory of Solids] - (New Course)
Catalog Number: 98229
----------
Half course (fall term). Tu., Th., 10–11:30. EXAM GROUP: 12, 13
Theoretical description of solids focusing on the effects of interactions between electrons, including dielectric response, magnetism, and superconductivity. Also, subjects from the physics of strongly correlated systems, such as quantum antiferromagnetism and high temperature superconductors.
Note: Expected to be given in 2012–13.
Prerequisite: Applied Physics 295a, Physics 251a, 251b, or permission of instructor.
*Physics 302. Teaching and Communicating Physics - (New Course)
Catalog Number: 51609 Enrollment: Limited to 30. Priority will be given to first-year graduate students.
Jacob Barandes and Rachael Lancor
Half course (spring term). W., or Th., 4-6.
Hands-on, experienced-based course for graduate students on teaching and communicating physics, conducted through practice, observation, feedback, and discussion. Departmental rules for teaching fellows, section and laboratory teaching, office hours, assignments, grading, and difficult classroom situations.
Note: Cannot be used as credit for the AM degree.
For Wednesdays, select Jacob Barandes, and for Thursdays, select Rachael Lancor.
*Physics 303a,303b. Sensory and Behavioral Neuroscience
Catalog Number: 1727,1792
Aravinthan D. T. Samuel 4625
*Physics 305a,305b. Experimental High Energy Physics
Catalog Number: 7929,0855
John Huth 3506 (on leave spring term)
*Physics 307a,307b. Atomic/Bio-physics, Quantum Optics
Catalog Number: 7534,3277
Lene V. Hau 2151 (on leave fall term)
*Physics 309a,309b. Topics in Elementary Particle Theory
Catalog Number: 4556,4561
Cumrun Vafa 2069 (on leave fall term)
*Physics 311a,311b. Experimental Atomic, Molecular, and Low-Energy Particle Physics
Catalog Number: 6839,6838
John M. Doyle 3507
*Physics 313a,313b. Experimental Condensed Matter Physics
Catalog Number: 7154,6363
Amir Yacoby 5596
*Physics 315a,315b. Topics in Theoretical Atomic, Molecular, and Condensed Matter Physics
Catalog Number: 7387,8871
Eric J. Heller 1074
*Physics 317a,317b. Topics in Biophysics
Catalog Number: 8345,0990
Xiaowei Zhuang 3991
*Physics 319a,319b. Topics in Experimental High Energy Physics
Catalog Number: 4520,4521
Melissa Franklin 2500
*Physics 321a,321b. Experimental Soft Condensed Matter Physics
Catalog Number: 9963,7098
David A. Weitz 2497
*Physics 323a,323b. Nanostructures and Mesoscopic Physics
Catalog Number: 3629,9079
Charles M. Marcus 2890
*Physics 327a,327b. Topics in Condensed Matter Physics
Catalog Number: 5969,6524
David R. Nelson 5066
*Physics 329a,329b. Condensed Matter and Statistical Theory
Catalog Number: 6198,6373
Bertrand I. Halperin 4755
*Physics 331a,331b. Topics in String Theory
Catalog Number: 1624,9280
Xi Yin 6162
*Physics 333a,333b. Experimental Atomic Physics
Catalog Number: 2902,2904
Mara Prentiss 2741
*Physics 335a,335b. Topics in the History and Philosophy of Physics
Catalog Number: 6697,4276
Gerald Holton 1883
*Physics 337a,337b. Topics in Experimental High Energy Physics
Catalog Number: 1809,6368
Masahiro Morii 3798
*Physics 339a,339b. Condensed Matter and Atomic Physics
Catalog Number: 5096,6843
Subir Sachdev 5252
*Physics 341a,341b. Topics in Experimental Atomic and Condensed Matter Physics
Catalog Number: 1990,6602
Markus Greiner 5344
*Physics 343a,343b. Observational Cosmology and Experimental Gravitation
Catalog Number: 4253,6881
Christopher Stubbs 4856 (on leave spring term)
*Physics 345a,345b. Experimental Gravitation: Radio and Radar Astronomy
Catalog Number: 5067,5072
Irwin I. Shapiro 7660
*Physics 347a,347b. Topics in Quantum Optics
Catalog Number: 8010,1627
Mikhail D. Lukin 3990
*Physics 349a,349b. Topics in Theoretical Particle Physics
Catalog Number: 4124,9866
Matthew D. Schwartz 6194
*Physics 351a,351b. Experimental Soft Condensed Matter and Materials Physics
Catalog Number: 6533,5661
Vinothan N. Manoharan 5251
*Physics 353a,353b. Topics in Statistical Physics and Quantitative Molecular Biology
Catalog Number: 66502,81609
Erel Levine 6304
*Physics 355a,355b. Theory of Elementary Particles
Catalog Number: 1213,7654
Roy J. Glauber 2113 (on leave spring term)
*Physics 357a,357b. Experimental Condensed Matter Physics
Catalog Number: 4430,5227
Robert M. Westervelt 6148
*Physics 359a,359b. Topics in Condensed Matter Physics
Catalog Number: 8238,7560
Eugene A. Demler 3847
*Physics 361a,361b. Topics in Experimental High Energy Physics
Catalog Number: 21181,51395
Joao Pedro Guimaraes da Costa 5698
*Physics 363a,363b. Topics in Condensed Matter Theory
Catalog Number: 2957,2958
Efthimios Kaxiras 3050
*Physics 365a,365b. Topics in Mathematical Physics
Catalog Number: 5170,1567
Arthur M. Jaffe 2095
*Physics 367a,367b. Experimental Astrophysics
Catalog Number: 1075,1274
Paul Horowitz 3537 (on leave 2011-12)
*Physics 369a,369b. Experimental Condensed Matter: Synchrotron Radiation Studies
Catalog Number: 1538,1539
Peter S. Pershan 1105 (on leave spring term)
*Physics 371a,371b. Topics in Experimental High Energy Physics
Catalog Number: 2519,6461
Gary J. Feldman 2599
*Physics 373a,373b. Historical and Philosophical Approaches to Modern and Contemporary Physics
Catalog Number: 6140,6143
Peter L. Galison 3239
*Physics 375a,375b. Topics in Theoretical High Energy Physics
Catalog Number: 9829,0132
Frederik Denef 6000 (on leave spring term)
*Physics 377a,377b. Theoretical High Energy Physics
Catalog Number: 1436,2007
Tai T. Wu 1051
*Physics 379a,379b. Topics in Elementary Particle Research and String Theory
Catalog Number: 7523,7524
Andrew Strominger 3700
*Physics 381a,381b. Experimental Condensed Matter Physics
Catalog Number: 1281,2355
Jennifer E. Hoffman 4888
*Physics 383a,383b. Low Temperature Physics of Quantum Fluids and Solids; Ultra High Pressure Physics
Catalog Number: 3851,4395
Isaac F. Silvera 7468
*Physics 385a,385b. Topics in Biophysics
Catalog Number: 5901,5902
Howard C. Berg 1377 (on leave spring term)
*Physics 387a,387b. Applied Photonics
Catalog Number: 5772,5774
Eric Mazur 7952
*Physics 389a,389b. Topics in Field Theory: The Standard Model and Beyond
Catalog Number: 4393,2571
Lisa Randall 4255 (on leave 2011-12)
*Physics 391a,391b. Experimental Atomic Physics, Biophysics, and Soft Matter Physics
Catalog Number: 1006,2753
Ronald L. Walsworth 2263
*Physics 393a,393b. Topics in Elementary Particle Theory
Catalog Number: 6051,6218
Howard Georgi 4754 (on leave spring term)
*Physics 397a,397b. Experimental Condensed Matter Physics
Catalog Number: 7355,7356
Jene A. Golovchenko 1986