College of LS&A

Winter Academic Term 2004 Graduate Course Guide

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Courses in Physics


This page was created at 6:20 PM on Wed, Jan 21, 2004.

Winter Academic Term 2004 (January 6 - April 30)


PHYSICS 401. Intermediate Mechanics.

Section 001.

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

Prerequisites: PHYSICS 126/128 or 240 (or 260)/241, and MATH 216. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://tenaya.physics.lsa.umich.edu/~keithr/p401

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): Rudolf P Thun (rthun@umich.edu)

Prerequisites: PHYSICS 126/128 or 240 (or 260)/241, and MATH 216. Prior or concurrent enrollment in PHYSICS 451. PHYSICS 340 recommended. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

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.

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PHYSICS 406. Statistical and Thermal Physics.

Section 001.

Instructor(s): Samuel M Moukouri (moukouri@umich.edu)

Prerequisites: PHYSICS 390. (3). May not be repeated for credit.

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.

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PHYSICS 420. Living with Physics for Elementary Teachers.

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

Prerequisites: Open only to elementary education concentrators. (3). May not be repeated for credit. No credit granted to those who have completed or are enrolled in PHYSICS 106. Laboratory fee ($25) required.

Credits: (3).

Lab Fee: Laboratory fee ($25) required.

Course Homepage: No homepage submitted.

Physics 420 is a survey course designed for students planning a career in elementary education. It focuses on material to be used in the elementary classroom.

Text: Conceptual Physical Science — 2nd edition; Hewitt, Sucltocki, Hewitt; Addison, Wesley, Longman (Required).

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PHYSICS 442. Advanced Laboratory II.

Instructor(s):

Prerequisites: PHYSICS 390 and any 400-level Physics course. (2). May not be repeated for credit.

Credits: (2).

Course Homepage: http://phys-advlab.physics.lsa.umich.edu/Phys441_442/

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.

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PHYSICS 452. Methods of Theoretical Physics II.

Section 001.

Instructor(s): James Daniel Wells (jwells@umich.edu)

Prerequisites: PHYSICS 451. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://www.umich.edu/~jwells/Physics452/

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.

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PHYSICS 453. Quantum Mechanics.

Section 001.

Instructor(s): Leopoldo A Pando Zayas

Prerequisites: PHYSICS 390. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

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.

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PHYSICS 457. Subatomic Physics.

Section 001.

Instructor(s): Carl W Akerlof (akerlof@umich.edu)

Prerequisites: PHYSICS 453. (3). May not be repeated for credit.

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; and (4) nuclear radiation — interaction of charged particles, gamma-rays and neutrons with matter, nuclear radiation detectors. The basic elements of quantum mechanics are used.

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PHYSICS 460. Quantum Mechanics II.

Section 001.

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

Prerequisites: PHYSICS 453. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://coursetools.ummu.umich.edu/2004/winter/physics/460/001.nsf

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.

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PHYSICS 463. Introduction to Solid State Physics.

Section 001.

Instructor(s): David A Reis (dreis@umich.edu)

Prerequisites: PHYSICS 453. (3). May not be repeated for credit.

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.

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PHYSICS 501. First-Year Mini-Colloquium.

Section 001.

Instructor(s): Alexei V Tkachenko

Prerequisites: Graduate standing. (1). May be elected twice for credit.

Credits: (1).

Course Homepage: http://www.umich.edu/~alexei/minicolloquium.html

Course objective is to learn about research opportunities within the Physics graduate studies program.

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PHYSICS 506. Electricity and Magnetism II.

Section 001.

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

Prerequisites: Graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://www-personal.umich.edu/~graithel/P506_04/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.

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PHYSICS 507. Theoretical Mechanics I.

Section 001.

Instructor(s): Alexei V Tkachenko (alexei@umich.edu)

Prerequisites: Graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://www-personal.umich.edu/~alexei/Ph507.htm

  • Lagrangian Mechanics
    Generalized coordinates - Hamilton Principle - Lagrange Equation - Symmetries & Conservation Laws

  • Classical Integrable Problems
    1D motion - mechanical analogies in physics - semi-classical approximation in Quantum Mechanics - two-body problem - motion in central field & Kepler's problem - Virial theorem - Scattering

  • Hamiltonian Formalism
    Canonical Variables & Hamiltonian - Hamilton Equations - Phase Space - Poisson Brackets - Liuville Theorem

  • Mechanics of Rigid Body
    Rotational motion - Angular Momentum - Inertia Tensor- Euler Equations - Presession

  • Oscillations
    Small oscillations: Eigenvalue problem - Damping, Force oscillations and Resonance - Parametric resonance - Nonlinear oscillations - Bifurcations

  • Non-integrable systems, Introduction to Classical Chaos
    Action-angle variables - KAM theorem - Attractors & Lyapunov exponent - Poincare Maps - Stable and chaotic trajectories - Chaos in dissipative systems - Period doubling - Strange attractor

  • Continuous Mechanics: elements of Elastic theory and Hydrodynamics

Books

Required:
Herbert Goldstein "Classical Mechanics" (3rd Edition) ISBN: 0201657023

Strongly Recommended:
L. D. Landau, E. M. Lifshitz "Mechanics" (3rd Edition) ISBN: 0750628960
L. D. Landau, E. M. Lifshitz "Theory of Elasticity" ISBN: 075062633X

Recommended:
Jorge V. José, Eugene J. Saletan "Classical Dynamics : A Contemporary Approach" ISBN: 0521636361
V. I. Arnold, A. Weinstein, K. Vogtmann "Mathematical Methods of Classical Mechanics" ISBN: 0387968903

Homework and Exam Information

Final Score = 40% * Weakly Homework + 25% * Midterm Exam + 35% * Final Exam

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PHYSICS 508 / CMPLXSYS 535. Theory of Social and Technological Networks.

Section 001.

Instructor(s): Mark E Newman

Prerequisites: Calculus and linear algebra; some computer programming experience recommended. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://www-personal.umich.edu/~mejn/courses/2004/cscs535/

See CMPLXSYS 535.001.

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PHYSICS 512. Quantum Theory and Atomic Structure, II.

Section 001.

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

Prerequisites: Graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://www-personal.umich.edu/~pberman/qm04w.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.

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PHYSICS 515. Supervised Research.

Instructor(s):

Prerequisites: Graduate standing. Permission of instructor required. (4-6). (INDEPENDENT). May not be repeated for credit.

Credits: (4-6).

Course Homepage: No homepage submitted.

Four to six credit-hour courses in research.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: 5, Permission of instructor/department

PHYSICS 521. Elementary Particle Physics I.

Section 001.

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

Prerequisites: PHYSICS 512 and graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

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.

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PHYSICS 523. Advanced Quantum Mechanics II.

Section 001.

Instructor(s): Finn Larsen (larsenf@umich.edu)

Prerequisites: PHYSICS 513 and graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://www-personal.umich.edu/~larsenf/PHY523.html

No Description Provided. Contact the Department.

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PHYSICS 540 / APPPHYS 601. Advanced Condensed Matter.

Section 001.

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

Prerequisites: Graduate standing. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

This is the second of a two course sequence (PHYSICS 520 & 540) in condensed matter physics. It provides an introduction to basic subjects not covered in PHYSICS 520 (e.g., linear response and group theory) as well as a presentation of topics of current interest such as the quantum Hall effect and superconductivity.

Prerequisites: Solid State Physics (PHYSICS 520), Statistical Physics (PHYSICS 510) and Quantum Mechanics (PHYSICS 511 & 512), or equivalent courses. Graduate standing.

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PHYSICS 542 / EECS 638. Quantum Optics.

Section 001.

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

Prerequisites: Graduate standing. (3). May not be repeated for credit. CAEN lab access fee required for non-Engineering students.

Credits: (3).

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

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

Course Outline:

  1. Review of quantum mechanics — problems, solutions, strategies and QM representations for describing optical interactions with atoms.
  2. Simple atom-field interactions: perturbation theory, transition rates, the density matrix, Bloch equations, vector model of the density matrix, signal fields, line-broadening, and real atoms.
  3. Coherent optical transients: nutation, free induction, photon echoes.
  4. Coherent interactions of fields and atoms: saturation of stationary 2-and 3-level atoms, saturation of moving atoms, 3-level coherence, Zeeman coherence, 4-wave mixing, Feynman diagrams.
  5. Quantized Fields and Coherent States: field quantization, spontaneous emission, Weisskopf-Wigner Theory, Glauber states, squeezed states, quantum statistics, quantized reservoir theory, reduced density matrices, resonance fluorescence, dressed atoms, adiabatic and rapid passage.
  6. Applications of dark states in electromagnetically-induced transparency, laser cooling, and radiation trapping in super-radiance.

Pre-requisites: Graduate level quantum mechanics and classical electrodynamics

Grading: Midterm 30 %; Homework (6 bi-weekly problem sets) 40 %; Final Exam 30 %;

Textbook: P. Meystre and M. Sargent, "Elements of Quantum Optics", 3rd edition, Springer-Verlag, Berlin, 1999.

On Reserve:

  1. R. Loudon, "The Quantum Theory of Light", 3rd edition, Clarendon Press, Oxford, 1983.
  2. S. Stenholm, "Foundations of Laser Spectroscopy" Wiley, NY, 1984.
  3. M. Weissbluth, "Photon-atom interactions", Academic Press, NY, 1989.
  4. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, "Atom-Photon Interactions", Wiley, New York, 1992.
  5. D.F. Walls and G.J. Milburn, "Quantum Optics", Springer-Verlag, Berlin, 1994.
  6. M.D. Levenson and S.S. Kano, "Nonlinear Laser Spectroscopy", Academic Press, New York, 1988.
  7. M.O. Scully and M.S. Zubairy, "Quantum Optics", Cambridge University Press 1997.
  8. M. Sargent, M.O. Scully, W.E. Lamb, "Laser Physics", Addison-Wesley, London, 1974.

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

Section 001.

Instructor(s): Herbert Graves Winful

Prerequisites: EECS 537 or 538 or 530. Graduate standing. (3). May not be repeated for credit. 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 APPPHYS 611.001.

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PHYSICS 620. Solid State.

Section 001.

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

Prerequisites: Graduate standing and permission of instructor. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

An advanced course in condensed matter physics. It provides an introduction to basic subjects not covered in PHYSICS 520 (e.g., linear response and group theory) as well as a presentation of topics of current interest such as the quantum Hall effect and superconductivity.

Check Times, Location, and Availability Cost: No Data Given. Waitlist Code: 5, Permission of instructor

PHYSICS 628. Experimental High Energy Physics.

Section 001 — Collider Physics.

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

Prerequisites: Graduate standing and permission of instructor. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: http://coursetools.ummu.umich.edu/2004/winter/physics/628/001.nsf

The course will cover techniques and physics of modern hadron collider experiment. Specifically, it will be organized in the following six main areas: collider detector, Quantum Chromodynamics, electroweak physics, top quark production and decays, B physics, and physics beyond the standard model.

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PHYSICS 629 / CHE 629. Complex Fluids.

Section 001.

Instructor(s): Ronald G Larson (rlarson@umich.edu)

Prerequisites: CHE 527. Graduate standing. (3). May not be repeated for credit. 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.

Structure, dynamics, and flow properties of polymers, colloids, liquid crystals, and other substances with both liquid and solid-like characteristics.

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PHYSICS 651 / APPPHYS 551 / EECS 539. Lasers.

Section 001.

Instructor(s): Kim A Winick

Prerequisites: EECS 537 or 538. Graduate standing. (3). May not be repeated for credit. 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 APPPHYS 551.001.

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PHYSICS 668. Advanced Astrophysics.

Section 001.

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

Prerequisites: Graduate standing and permission of instructor. (3). May not be repeated for credit.

Credits: (3).

Course Homepage: No homepage submitted.

No Description Provided. Contact the Department.

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PHYSICS 715. Special Problems.

Instructor(s):

Prerequisites: Graduate standing and permission of instructor. (1-6). (INDEPENDENT). May not be repeated for credit.

Credits: (1-6).

Course Homepage: No homepage submitted.

Non-thesis research under the supervision of Physics faculty.

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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. This course has a grading basis of "S" or "U."

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.

Section 001.

Instructor(s):

Prerequisites: Must have Teaching Assistant award. Graduate standing and permission of instructor. (1). May not be repeated for credit. This course has a grading basis of "S" or "U."

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 course.

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PHYSICS 995. Dissertation/Candidate.

Instructor(s):

Prerequisites: Graduate School authorization for admission as a doctoral Candidate (Prerequisites enforced at registration). (8). (INDEPENDENT). May be repeated for credit. This course has a grading basis of "S" or "U."

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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