College of LS&A

Winter '01 Graduate Course Guide

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Courses in Physics


This page was created at 9:13 PM on Mon, Jan 29, 2001.

Winter Term, 2001 (January 4 April 26)

Open courses in Physics
(*Not real-time Information. Review the "Data current as of: " statement at the bottom of hyperlinked page)

Wolverine Access Subject listing for PHYSICS

Winter Term '01 Time Schedule for Physics.


PHYSICS 401. Intermediate Mechanics.

Section 001.

Instructor(s): Meigan C Aronson (maronson@umich.edu)

Prerequisites: Phys. 126/128 or 240/241, 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 405. Intermediate Electricity and Magnetism.

Section 001.

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

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

Credits: (3).

Course Homepage: https://coursetools.ummu.umich.edu/2001/winter/physics/405/001.nsf

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.

  • Electrostatics
  • lectrostatics
  • Laplace Equation
  • Laplace Equation: Solution methods
  • Electric fields in matter
  • Electric fields in matter. Magnetic fields of currents.
  • Magnetostatics
  • Maxwell's Equations
  • Plane waves. Some properties.
  • Waveguides and resonators
  • Outlook: Potentials and gauges, radiation

Texts:
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.

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

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 406. Statistical and Thermal Physics.

Section 001.

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

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

Credits: (3).

Course Homepage: No Homepage Submitted.

An introduction to the thermal and other macroscopic properties of matter, their description in terms of classical thermodynamics, and their microscopic interpretation from the perspective of statistical mechanics. Techniques from classical mechanics, electricity and magnetism, and elementary quantum mechanics will be used. Frequent homework problem assignments, at least one hour exam, and a final examination will be given. Text: Statistical & Thermal Physics; Reif; McGraw Hill (Required).

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PHYSICS 420. Living with Physics for Elementary Teachers.

Section 001.

Instructor(s): Jean P Krisch (jkrisch@umich.edu)

Prerequisites: Open only to elementary education concentrators. (3).

Credits: (3).

Course Homepage: No Homepage Submitted.

Physics 420 is a survey course designed for concentrators in elementary education. It focuses on material to be used in the elementary classroom. Text: Conceptual Physics with MCAT 8th edition; Hewitt; Addison, Wesley, Longman (Required).

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PHYSICS 442. Advanced Laboratory II.

Instructor(s): Dante Eric Amidei (amidei@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 are offered. Students are required to select 5 experiments in consultation with the lab instruction. Experiments are to be selected from several different areas of physics. Texts: Quantum Physics, etc.; Eisberg; Wiley (Highly Recommended) Data Reduction and Error Analysis for the Physical Sciences; Bevington; McGraw Hill (Highly Recommended)

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PHYSICS 452. Methods of Theoretical Physics.

Section 001.

Instructor(s): Bing Zhou (bzhou@umich.edu)

Prerequisites: Phys. 451. (3).

Credits: (3).

Course Homepage: No Homepage Submitted.

Physics 451 and 452 constitute a two-term sequence in mathematical methods of physics. Among various textbooks, G. Arfken, Mathematical Methods for Physicists, is often used; and in that case about 85% of the contents would be covered over two terms. This course is considered a necessary preparation for graduate school. Text: Mathematical Methods for Physicists 4th edition; Arfken; Holt (Required). Introduction to Mathematical Physics latest edition; Wong; Oxford (Recommended).

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PHYSICS 453. Quantum Mechanics.

Section 001.

Instructor(s): Georg A Raithel (graithel@umich.edu)

Prerequisites: Phys. 390. (3).

Credits: (3).

Course Homepage: http://www-personal.umich.edu/~graithel/P453_01/home.html

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: Intro to Quantum Mechanics; Griffiths; Prentice Hall (Required).

Supplementary: J.J Sakurai, Modern Quantum Mechanics (The Benjamin/Cummings Pub. Comp., 1985). This book is on the level of a beginning graduate course.

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PHYSICS 457. Subatomic Physics.

Section 001.

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

Prerequisites: Phys. 453. (3).

Credits: (3).

Course Homepage: No Homepage Submitted.

Topics of study will include:

  1. nuclear structure binding energies, size and shape, angular momentum, parity, isopin, magnetic moments, electric quadrupole moments, statistical, shell and collective models for the nucleus
  2. nuclear decays, radioactivity, barrier penetration and alpha-particle decay, the weak interaction and beta-decay, electromagnetic transitions in nuclei;
  3. nuclear interactions basic properties of the nuclear force, nucleon-nucleon scattering, the deuteron, nuclear reactions and reaction models
  4. nuclear radiation interaction of charged particles, gamma-rays and neutrons with matter, nuclear radiation detectors.

The basic elements of quantum mechanics are used.

Text: Introduction to Elementary Particle Physics; Griffiths; Wiley (Required).

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PHYSICS 460. Quantum Mechanics II.

Section 001.

Instructor(s): Katherine Freese (ktfreese@umich.edu)

Prerequisites: Phys. 453. (3).

Credits: (3).

Course Homepage: No Homepage Submitted.

This course is a sequel to Physics 453, and continues to develop non-relativistic quantum mechanics from the perspective of atomic physics. Topics covered: quantum mechanics of the hydrogen atom; solving Schrödinger's equation for a single electron atom; spectra of alkali atoms: the quantum defect; orbital and spin magnetism; Fine structure; atoms in magnetic fields; quantum mechanics of atoms in magnetic fields; the Bloch equations; a brief look at relativity in quantum mechanics; atoms in electric fields, and introduction to perturbation theory; atoms in time-varying electric fields; time-dependent perturbation theory in a 2-level system; spin and photon echos; field quantization why excited states decay. A peek at quantum electrodynamics: mass renormalization and the Lamb shift; optical transitions; theory of lineshape; multi-electron atoms; angular momentum coupling schemes; X-rays and inner shell spectroscopy; ground state configurations and terms; a peek at group theory; Hartree and Hartree Fock methods of calculating wave functions; nuclear spin and the hyperfine interaction; lasers; modern spectroscopy; chemical bonds. Text: Intro to Quantum Mechanics; Griffiths; Prentice Hall (Required).

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PHYSICS 463. Introduction to Solid State Physics.

Section 001.

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

Prerequisites: Phys. 453. (3).

Credits: (3).

Course Homepage: No Homepage Submitted.

Main topics to be covered are cohesion in solids; Free Electron Theory in Metals; Periodicity in Solids, Crystal Structure, Symmetry, Reciprocal Lattice, Diffraction Methods, Electrons in Periodic Structures; Band Theory of Solids and Fermi Surfaces; Phonons, Thermal Effects; Applications to Semiconductor Devices. Students should have a background in thermodynamics, elementary statistical mechanics, plus a little quantum mechanics. There are three lectures per week, one of which may be a discussion period. Student evaluation is based on midterm and final exams; occasional short tests and weekly problem sets. Text: Introductory Solid State Physics; Myers; Taylor & Francis, Ltd. (Required).

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PHYSICS 489. Physics of Music.

Section 001 Meets with Physics 288.001.

Instructor(s): Daniel Axelrod (daxelrod@umich.edu)

Prerequisites: Permission of instructor. No credit granted to those who have completed or are enrolled in Phys. 288. (3). May not be included in a concentration plan in physics.

Credits: (3).

Course Homepage: http://instructor.physics.lsa.umich.edu/winter2001/288/

This course consists of Physics 288 plus a theoretical or experimental project which the student does independently. Text: The Acoustical Foundations of Music 2nd edition; Backus; W.W. Norton & Co. (Required).

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PHYSICS 506. Electricity and Magnetism II.

Section 001.

Instructor(s): John K Riles (keithr@umich.edu)

Prerequisites: Graduate standing. (3).

Credits: (3).

Course Homepage: http://www-mhp.physics.lsa.umich.edu/~keithr/p506/home.html

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.

Homework: There will be 13 homework assignments; Exams: There will be an in-class, 80-minute midterm exam covering chapters 8-10 of the Jackson text on Thursday February 22, and the final exam covering chapters 8-14 will be held Thursday April 26 1:30-3:30 p.m.

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

Text: Classical Electrodynamics; Jackson; Wiley (Required).

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PHYSICS 507. Theoretical Mechanics I.

Section 001 Classical Mechanics.

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

Prerequisites: Graduate standing. (3).

Credits: (3).

Course Homepage: http://www-personal.umich.edu/~lsander/syll507.html

I will give a treatment of advanced classical dynamics with Langranian and Hamiltonian mechanics, Hamilton-Jacobi theory, perturbation theory, non-linear mechanics (including, if time allows, the KAM theorem) and some rigid-body mechanics.

  1. Review of Newtonian Mechanics
  2. Lagrangian mechanics and constaints
  3. Topics in Lagrangian mechanics: central forces; rigid bodies; small oscillations.
  4. Hamiltonian mechanics.
  5. Canonical transformations, Hamilton-Jacobi theory, action-angle variables, perturbation theory.
  6. Non-linear dynamics and chaos; KAM theory.

There will be a midterm, a final and 8 or 9 problem sets. For the later part of the course I will introduce some numerical work to be done on a computer. The students will be required to use Maple. For those who are not familiar with computer techniques, I will hold a few introductory sessions in a computer classroom.

Text: Classical Mechanics; Goldstein; Addison Wesley (Required).

Books on Reserve in Physics Library

  • H. Goldstein, Classical Mechanics, Addison Wesley, 1980
  • Eugene J. Saletan and Alan H. Cromer, Theoretical mechanics, Wiley 1971
  • L. D. Landau and E. M. Lifshitz, Mechanics, Pergamon Press, 1976
  • V. I. Arnold, Mathematical methods of classical mechanics, Springer-Verlag, 1978
  • Jorge V. Jose and Eugene J. Saletan, Classical Dynamics : A Contemporary Approach, Cambridge 1998
  • E. Ott, Chaos in Dynamical Systems, Cambridge University Press, 1993
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PHYSICS 512. Quantum Theory and Atom Physics II.

Section 001.

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

Prerequisites: Graduate standing. (3).

Credits: (3).

Course Homepage: http://www-personal.umich.edu/~pberman/qm01w.html

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. Text: Quantum Mechanics; Merzbacher; Wiley (Required).

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PHYSICS 515. Supervised Research.

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/Applied Physics 518. Microcomputers in Experimental Research.

Section 001.

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

Prerequisites: Graduate standing. (3).

Credits: (3).

Course Homepage: No Homepage Submitted.

See Applied Physics 518.001.

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PHYSICS 521. Elementary Particle Physics I.

Section 001.

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

Prerequisites: Phys. 512. Graduate standing. (3).

Credits: (3).

Course Homepage: http://feynman.physics.lsa.umich.edu/521.html

Overview for anyone who wants to understand the very successful "Standard Model" of particle physics, with emphasis on the predictions and tests of the theory, why it is now widely believed to describe nature, and also on open questions. Topics to be studied: the ElectroWeak theory and Quantum Chromodynamics, properties of quarks and leptons, Higgs bosons, CP violation, a few topics beyond the Standard Model (grand unifications, supersymmetry, and neutrino masses), and existing and future experimental facilities and detectors. Texts: Modern Elementary Particle Physics; Kane; Addison Weslery (Recommended). Collider Physics; Barga, Phillips; Addison Weslery (Recommended).CP Violation; Bigi, Sands; Cambridge University Press (Recommended).

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PHYSICS 523. Advanced Quantum Mechanics II.

Section 001.

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

Prerequisites: Phys. 513. Graduate standing. (3).

Credits: (3).

Course Homepage: No Homepage Submitted.

Advanced course in relativistic quantum field theory with emphasis on gauge field theories. Among the topics explored are renormalization and unitarity of abelian and non-abelian gauge theories, spontaneous symmetry breaking, and renormalization group. Text: Intro to Quantum Field Theory; Peskin; Perseus Books (formerly Addison Wesley) (Required).

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PHYSICS 540/Applied Physics. 601. Advanced Condensed Matter.

Section 001.

Instructor(s): Frederick C Mackintosh (fcm@umich.edu)

Prerequisites: Graduate standing. (3).

Credits: (3).

Course Homepage: No Homepage Submitted.

No Description Provided

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PHYSICS 542/EECS 638/Applied Physics 609. Quantum Optics.

Instructor(s): Stephen C Rand (scr@umich.edu)

Prerequisites: Graduate standing. (3).

Credits: (3).

Course Homepage: http://www.eecs.umich.edu/courses/eecs638/index.html

See Applied Physics 609.

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PHYSICS 619/Applied Physics 619. Advanced Solid State.

Section 001.

Instructor(s): Çagliyan Kurdak (kurdak@umich.edu)

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

Credits: (3).

Course Homepage: No Homepage Submitted.

No Description Provided

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PHYSICS 642. Tutorial in Quantum Mechanics.

Section 001.

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

Prerequisites: Phys. 630. (2).

Credits: (2).

Course Homepage: No Homepage Submitted.

Course pack will be available in class

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PHYSICS 651/EECS 539/Applied Physics 551. Lasers.

Section 001.

Prerequisites: EECS 537 or 538. Graduate standing. (3).

Credits: (3).

Course Homepage: No Homepage Submitted.

See Applied Physics 551.001.

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PHYSICS 990. Dissertation/Precandidate.

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.

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 Winter Academic Term. Beginning graduate student instructors are required to register for this class.

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PHYSICS 995. Dissertation/Candidate.

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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