College of LS&A

Fall '01 Graduate Course Guide

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Courses in Physics


This page was created at 9:24 AM on Thu, Oct 11, 2001.

Fall Academic Term, 2001 (September 5 December 21)

Open courses in Physics
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Wolverine Access Subject listing for PHYSICS

Fall Term '01 Time Schedule for Physics.

To see what graduate courses have been added to or changed in Physics this week go to What's New This Week.

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PHYSICS 401. Intermediate Mechanics.

Section 001.

Instructor(s): Rudolf Thun (rthun@umich.edu)

Prerequisites: Phys. 126/128 or 240 (or 260)/241, and Math. 216. (3).

Credits: (3).

Course Homepage: No homepage submitted.

This course is required for physics concentrators. It presents a systematic development of Newtonian mechanics beginning with single particle motion in one dimension and extending through multiparticle systems moving in three dimensions. The conservation laws of energy and linear and angular momentum are emphasized. Lagrangian mechanics is introduced, and Hamiltonian mechanics may be introduced as well. Physical systems treated in detail include the forced damped-oscillator, inverse square forced orbits, harmonic motion in two dimensions, coupled oscillations and rigid body motion in two and three dimensions. Mathematical topics given extensive treatment include vector algebra, elements of vector calculus, ordinary differential equations, plane and spherical polar coordinates and phasors and/or complex numbers. Grades are based on one or two exams and a two-hour final.

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PHYSICS 402. Light.

Section 001.

Instructor(s): Fred Becchetti Jr (fdb@umich.edu)

Prerequisites: Phys. 126/128 or 240 (or 260)/241, and Math. 216. (3).

Credits: (3).

Course Homepage: No homepage submitted.

Topics studied cover the phenomena of physical optics, reflection, refraction, interference, diffraction, and polarization interpreted in terms of the wave theory of light. Selected topics in contemporary optics, such as adaptive optics, fiber optics, human vision, etc. will also be covered.

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PHYSICS 405. Intermediate Electricity and Magnetism.

Section 001.

Instructor(s): Paul Berman (pberman@umich.edu)

Prerequisites: Phys. 126/128 or 240 (or 260)/241, and Math. 216. (3).

Credits: (3).

Course Homepage: http://ww-personal.umich.edu/~pberman/em01.html

This is a second course on the classical theory of electromagnetism. Familiarity with Maxwell's equations at the level of 240 is assumed. Physics 340 is strongly recommended. The course elaborates on the theoretical content of the Maxwell theory as well as practical application. Topics: review of vector analysis; electrostatic boundary value problems; magnetostatics; dielectric and magnetic materials; Maxwell's equations and electrodynamics; the wave equation, electromagnetic waves in free space, waves in conducting and dielectric media; guided waves; electromagnetic radiation; sources of EM radiation.

This course provides a rigorous introduction to electricity and magnetism, suitable for junior-year physics majors or engineering students. The subjects covered during the first part of the course will be, in the listed order, static electric fields in the vacuum, static electric fields in matter, and static magnetic fields in vacuum and matter. We will continue with a discussion of time-dependent phenomena, including electromagnetic induction, that will lead us to the complete set of Maxwell's equations and some of their solutions. The prerequisites are Physics 126/128 or Physics 240/241, and Math 216. Physics 340 is recommended.

Textbook: D. J. Griffiths, Introduction to Electrodynamics, 3rd Ed., (Prentice Hall, 1999). ISBN 0-13-805326-X.. Supplementary: R. H. Hood, Classical Electromagnetism, HBC Publishers. The level of this book is a little below Griffiths, but it is sufficient for the course. The book uses SI units and contains a floppy disc. Supplementary: J. D. Jackson, Classical Electrodynamics, John Wiley & Sons. This book is on the level of a graduate course and uses Gaussian units.

Reading assignments, which are part of the homework, may complement the material covered in class.

Homework: Homework problems will be assigned once per week, and will be due one week from when they are assigned. The homework will be collected, and all or a part of it will be graded. The homework will contribute 30 percent towards the final course grade.

Examinations: There will be two "midterm" examinations and a comprehensive final exam at the end of the course.

Course Grading: Your course grade will be based on the total number of points earned on the midterm examination, the final examination, and on the graded homework problems. The relative weighting is determined as follows:
Midterm Exams weight 20% each
Final Exam weight 30%
Homework weight 30%
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PHYSICS 413 / CMPLXSYS 541. Introduction to Nonlinear Dynamics and the Physics of Complexity.

Section 001.

Instructor(s): Leonard Sander (lsander@umich.edu)

Prerequisites: Phys. 401. (3).

Credits: (3).

Course Homepage: http://www-personal.umich.edu/~lsander/syll413.html

Goals and Audience: This course is intended to introduce the study of a variety of nonlinear-dynamical systems using examples from physics, chemistry, biology, population dynamics, and other fields. We will look at chaotic systems, and, as time allows, pattern formation.

Course Content: Students who are interested in the general area of modeling dynamical processes, disorderly growth, nonlinearity and chaos, who have some familiarity with differential equations, and are willing to use computers as a learning tool are welcome.

The homework will include a substantial number of assignments which use the computer. We will have a series of orientation classes on computer use using the campus computer classrooms. Students who want to do a class project (in lieu of an examination) will be encouraged to do so, and should consult with the instructor early in the semester to determine a topic.

Text: S.H. Strogatz, Nonlinear Dynamics and Chaos. (Addison-Wesley, 1994)

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PHYSICS 419 / RCNSCI 419 / NRE 574 / PUBPOL 519. Energy Demand.

Section 001.

Instructor(s):

Prerequisites: Basic college economics and senior standing. (3). May not be included in a concentration plan in physics.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided.

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PHYSICS 435. Gravitational Physics.

Section 001.

Instructor(s): Michael Duff (mduff@umich.edu)

Prerequisites: Phys. 390 and 401. (3).

Credits: (3).

Course Homepage: http://coursetools.ummu.umich.edu/2001/fall/physics/435/001.nsf

Course description Einstein's General Theory of Relativity is not only one of the major intellectual achievements of the twentieth century, it has also become an indispensible ingredient in modern cosmology, astrophysics and unified theories of the elementary particles. The course will cover the following: Review of Special Relativity and Newtonian Gravity. Physical foundations of General Relativity. Tensor calculus: metrics, connections and curvatures. Einstein's equations; the Schwarzschild solution; experimental tests. Black holes. Big Bang cosmology. Introduction to unified theories: extra dimensions, supergravity, superstrings and M-theory.

Evaluation: Based 25 % on weekly homework and 75 % on three written open-book examinations at 25 % each (October 4, November 6, December 11). Prerequisites: Physics 390 and 401, or equivalent.

Prerequisites: Physics 390 and 401, or equivalent. Required text: Gravitation and Cosmology, Steven Weinberg, Wiley 1972.

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PHYSICS 441. Advanced Laboratory I.

Instructor(s): Roy Clarke (royc@umich.edu)

Prerequisites: Phys. 390 and any 400-level Physics course. (2).

Credits: (2).

Course Homepage: No homepage submitted.

This is an advanced laboratory course. A wide selection of individual experiments is offered, each covering a fundamental physics concept. Students are required to select five experiments in consultation with the lab instructor. Experiments are to be selected from several different areas of physics. Examples of experiments include the photo-electric effect, electron charge/mass ratio, X-ray diffraction, muon lifetime, nuclear magnetic resonance, high Tc superconductors, chaos, and electron microscope imaging. Physics 441 is offered Fall Term and Physics 442 is offered Winter Term. Physics concentrators are required to take both terms and perform different experiments in the two courses.

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PHYSICS 451. Methods of Theoretical Physics I.

Section 001.

Instructor(s): Ratindranath Akhoury (akhoury@umich.edu)

Prerequisites: Math. 215 and 216. (3).

Credits: (3).

Course Homepage: No homepage submitted.

This is a course in the mathematical methods used in physics and is considered necessary preparation for graduate school. Among the topics treated are orthogonal functions and vector spaces, complex variables, differential equations and their special functions, Fourier series, and aspects of group theory.

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PHYSICS 453. Quantum Mechanics.

Section 001.

Instructor(s): Jens Zorn (jenszorn@umich.edu)

Prerequisites: Phys. 390. (3).

Credits: (3).

Course Homepage: http://coursetools.ummu.umich.edu/2001/fall/physics/453/001.nsf

This course begins with an overview of the experimental and theoretical foundations for quantum mechanics. The theory is developed and applied to simple physical systems, with examples taken from atomic, molecular, condensed matter, nuclear, and particle physics. Topics include: basics of the Schrödinger equations and its solutions in rectangular and spherical coordinates; properties, uses, and interpretations of state functions; expectation values and physical observables; coherence, correlation, and interference. Other topics include spin, the exclusion principle, and some quantum statistical mechanics.

Text: "Introduction to Quantum Mechanics" David Griffiths (Prentice Hall Publisher) ALSO: On-line course notes: "Atomic Physics and Quantum Mechanics", by Jens Zorn available at https://coursetools.ummu.umich.edu/2001/fall/physics/453/001.nsf

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PHYSICS 505. Electricity and Magnetism I.

Section 001.

Instructor(s): Jianming Qian (qianj@umich.edu)

Prerequisites: Graduate standing. (3).

Credits: (3).

Course Homepage: https://coursetools.ummu.umich.edu/2001/fall/physics/505/001.nsf

Electrostatics, time-independent magnetic phenomena, time-dependent electromagnetic fields, free electromagnetic fields, covariant formalism of electrodynamics, scattering and diffraction of electromagnetic waves, wave guides, radiating systems, radiation from moving charges.

Required Text: Classical Electrodynamics, J.D. Jackson, third edition (1999)

Homework: There will be 12 homework assignments, nominally due at the start of each Thursday lecture. Late homework will not be accepted.

Exams: There will be an in-class, 80-minute midterm exam covering chapters 1-4 of the Jackson text on Tuesday October 24, and the final exam covering chapters 1-7 will be held Monday December 18 1:30-3:30 p.m.

Grading: Course grades will be based on homework (35%), the midterm exam (30%) and the final exam (35%).

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PHYSICS 510. Statistical Physics I.

Section 001.

Instructor(s): Franco Nori (nori@umich.edu)

Prerequisites: Phys. 406. Graduate standing. (3).

Credits: (3).

Course Homepage: http://www-personal.engin.umich.edu/~nori/course/physics_510.html

Course outline:

  • Review and Introduction
    • Thermodynamics
    • Foundations of Statistical Mechanics
  • Classical Statistical Mechanics
    • Derivation of Thermodynamics
    • Various Ensembles and Thermodynamic Potentials
    • The Partition Function
  • Quantum Statistical Mechanics
    • Fermi Statistics
    • Bose Statistics
    • Examples, including superfluids and Fermi gases at high density
  • Models and Special Topics
    • Phase equilibrium and Phase Transitions
    • Fluctuations

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PHYSICS 511. Quantum Theory and Atomic Structure I and II.

Section 001.

Instructor(s): James Liu (jimliu@umich.edu)

Prerequisites: Graduate standing. (3).

Credits: (3).

Course Homepage: http://pauli.physics.lsa.umich.edu/p511/

This is a two-term sequence on the quantum theory and its applications to non-relativistic atomic, molecular, nuclear and solid state systems; time independent and time dependent perturbation theory; angular momentum, scattering theory; interaction of photons with non-relativistic systems; the Dirac equation.

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PHYSICS 513. Advanced Quantum Mechanics I.

Section 001.

Instructor(s): Martin Einhorn (meinhorn@umich.edu)

Prerequisites: Graduate standing. (3).

Credits: (3).

Course Homepage: http://coursetools.ummu.umich.edu/2001/fall/physics/513/001.nsf

The primary goal this first semester is to understand quantum fields, to learn how to derive Feynman rules, and to calculate Feynman diagrams. This should allow you to understand theories such as quantum electrodynamics in the lowest order. We hope also to cover Sponteneous Symmetry Breaking and some applications. [The second term gets into other topics, such as effective field theory and renormalization, critical exponents, and, depending on the students' interests, finite temperature, nonlinear sigma models, gauge field theories such as Quantum Chromodynamics and Electroweak Interactions.]

Text: M. E. Peskin and D. V. Schroeder, (PS) Introduction to Quantum Field Theory, Reading: Perseus Books (formerly, Addison-Wesley), 1995.

We shall more or less follow the textbook, but the emphasis and speed depend on the interests and backgrounds of the students enrolled.

Prerequisites:

  • Knowledge of special relativity and relativistic kinematics.
  • Quantum mechanics, both Lagrangian and Hamiltonian formulations, perturbation theory, and scattering theory.
  • Some experience with classical field theory would be useful.
  • Some familiarity with the Dirac equation and with Dirac matrix algebra would be helpful but not necessary.
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PHYSICS 515. Supervised Research.

Instructor(s):

Prerequisites: Graduate standing. (4-6). (INDEPENDENT).

Credits: (4-6).

Course Homepage: No homepage submitted.

Four to six credit-hour courses in research.

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PHYSICS 516. Supervised Research.

Instructor(s):

Prerequisites: Graduate standing. (4-6). (INDEPENDENT).

Credits: (4-6).

Course Homepage: No homepage submitted.

Four to six credit-hour courses in research.

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PHYSICS 518 / APPPHYS 518. Microcomputers in Experimental Research.

Section 001.

Instructor(s):

Prerequisites: Graduate standing. (3).

Credits: (3).

Course Homepage: No homepage submitted.

See Applied Physics 518.001.

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PHYSICS 520. Condensed Matter Physics.

Section 001.

Instructor(s): James Allen (jwallen@umich.edu)

Prerequisites: "Phys. 510, 511 or equivalent." Graduate standing. (3).

Credits: (3).

Course Homepage: No homepage submitted.

Modern theory of solids with emphasis on electron states, band theory, electron-electron interactions, phonons, electron-phonon interactions, transport theory, semiconductor physics and superconductors.

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PHYSICS 529 / APPPHYS 529. Techniques of Experimental Physics.

Section 001.

Instructor(s): Timothy Chupp (chupp@umich.edu)

Prerequisites: Graduate standing. (3).

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided.

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PHYSICS 541. Elementary Particle Physics II.

Section 001.

Instructor(s): Gordon Kane (gkane@umich.edu)

Prerequisites: Physics 521. Graduate standing. (3).

Credits: (3).

Course Homepage: http://feynman.physics.lsa.umich.edu/kane.html

This course will take several topics from Particle Physics I (521) and develop them in the detail appropriate for students planning to work in particle physics. It will include predictions and tests of the electroweak theory, QCD, supersymmetry, CP violation and particle cosmology.

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PHYSICS 611 / APPPHYS 611 / EECS 634. Nonlinear Optics.

Section 001.

Instructor(s): Winful

Prerequisites: EECS 537 or 538 or 530. Graduate standing. (3). CAEN lab access fee required for non-Engineering students.

Credits: (3).

Lab Fee: CAEN lab access fee required for non-Engineering students.

Course Homepage: No homepage submitted.

See Applied Physics 611.001.

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PHYSICS 624. Advanced Statistical Methods.

Section 001.

Instructor(s): Byron Roe (byronroe@umich.edu)

Prerequisites: Graduate standing and permission of instructor. (3).

Credits: (3).

Course Homepage: http://www-mhp.physics.lsa.umich.edu/~roe/phys624.html

This course provides a practical introduction into the use of probability and statistics in experimental physics. The emphasis is on applications and understanding. The skills learned here are some of the basic skills physicists use wherever they are employed: industry, academia... The areas emphasized are rather different than those emphasized in mathematics department courses. This is a subject students often study on their own. However, there are a number of subtle points. I and my colleagues discussed some of these things over many years, and proper solutions are still being found. There are articles published each year in major journals whose value is lessened or negated because of improper or less than optimal use of statistics. Some areas to be treated are:

  • Basic probability concepts; initial definitions, meaning of random.
  • Multiple scattering and the sqrt(N) rule.
  • Measurement error and propagation of errors.
  • Discrete distributions and combinatorials. Normal distributions and other continuous distributions.
  • Generating functions and characteristic functions.
  • Computer generation of random numbers with a given distribution from a set of uniformly distributed random numbers.
  • Two dimensional and multi-dimensional distributions.
  • The Central Limit theorem; where it can be used and where it fails.
  • Queuing theory. This is the theory of standing in lines. If you are buffering incoming events to be computed, how big a buffer is needed? Also included are problems of gambling, population survival models, lines with several servers (Quikline concept)...
  • Inverse probability; confidence limits, recent developments for treating problems when an unlikely result is obtained..
  • Methods for estimating parameters: least squares, maximum likelihood, curve fitting, Bartlett S function, estimating likelihood ratios needed for an experiment. Fitting curves of y(x), when the data points have errors in both x and y. Fitting curves with weighted events.

The items after this point are advanced topics subject to modification depending on interests of the students.

  • The Kolmogorov tests will likely be covered in any case. Data smoothing, interpolating functions, unfolding problems. Optimizingcuts on a data set with both signal and background.
  • Advanced data fitting: Fitting data with correlations and constraints, Kolmogorov-Smirnov tests and other tests beyond least squares.

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PHYSICS 650 / APPPHYS 550 / EECS 538. Lasers and Electro-Optics I.

Section 001.

Instructor(s): Herbert Graves Winful

Prerequisites: EECS 434. Graduate standing. (3). CAEN lab access fee required for non-Engineering students.

Credits: (3).

Lab Fee: CAEN lab access fee required for non-Engineering students.

Course Homepage: No homepage submitted.

See Applied Physics 550.001.

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PHYSICS 715. Special Problems.

Section 001 Topic?

Instructor(s):

Prerequisites: Graduate standing and permission of instructor. (1-6).

Credits: (1-6).

Course Homepage: No homepage submitted.

No Description Provided.

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PHYSICS 990. Dissertation/Precandidate.

Instructor(s):

Prerequisites: Election for dissertation work by doctoral student not yet admitted as a Candidate. Graduate standing. (1-8). (INDEPENDENT). May be repeated for credit.

Credits: (1-8; 1-4 in the half-term).

Course Homepage: No homepage submitted.

Election for dissertation work by doctoral student not yet admitted as a Candidate.

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PHYSICS 993. Graduate Student Instructor Training Program.

Instructor(s): Dennis M Allen

Prerequisites: Must have Teaching Assistant award. Graduate standing and permission of instructor. (1).

Credits: (1).

Course Homepage: No homepage submitted.

A seminar for all beginning graduate student instructors, consisting of a two day orientation before the term starts and periodic workshops/meetings during the Fall Term. Beginning graduate student instructors are required to register for this class.

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PHYSICS 995. Dissertation/Candidate.

Instructor(s):

Prerequisites: Graduate School authorization for admission as a doctoral Candidate. Graduate standing. (8). (INDEPENDENT). May be repeated for credit.

Credits: (8; 4 in the half-term).

Course Homepage: No homepage submitted.

Graduate School authorization for admission as a doctoral Candidate. N.B. The defense of the dissertation (the final oral examination) must be held under a full term Candidacy enrollment period.

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Undergraduate Course Listings for PHYSICS.


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