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Courses in Physics (Division 444)
This page was created at 8:02 AM on Fri, Oct 20, 2000.
Fall Term, 2000 (September 6 – December 22)
Open courses in Physics
Wolverine Access Subject listing for PHYSICS
Take me to the Fall Term '00 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.
Physics 401. Intermediate Mechanics.
Prerequisites & Distribution: 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 dampedoscillator, 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 twohour final.
Physics 402. Light.
Prerequisites & Distribution: Phys. 126/128 or 240/241, 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. Several topics in modern optics will also be developed.
Physics 405. Intermediate Electricity and Magnetism.
Prerequisites & Distribution: Phys. 126/128 or 240/241, and Math. 216. (3).
Credits: (3).
Course Homepage: http://wwwpersonal.umich.edu/~graithel/P405_00/home.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 junioryear 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 timedependent 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 013805326X. 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%

Physics 413/Complex Systems 541. Introduction to Nonlinear Dynamics and the Physics of Complexity.
Section 001 – The Physics of Nonlinear Dynamical Complex Systems.
Prerequisites & Distribution: Phys. 401. (3).
Credits: (3).
Course Homepage: http://wwwpersonal.umich.edu/~lsander/syll413.html
This course is intended to introduce the study of a variety of nonlineardynamical and complex systems at an undergraduate level. It should be useful to students in engineering, mathematics, or one of the sciences. The topics covered will provide an introduction to nonlinear, complex, and disordered systems, emphasizing its concepts, ideas, and some applications. Nonlinearities and disorder often produce complex behavior, and they will be two central themes underlying the course material. Most of the course will focus on basic tools of dynamical systems to study nonlinear differential and difference equations (including bifurcation theory, numerical algorithms, chaos, fractals; with many examples and applications). At the end, we will discuss some currentresearch issues in spatiotemporal dynamics, collecting transport in disorder systems, instabilities, and avalanches in a variety of systems. This course will emphasize the effective use of computers in science, including interactive graphics and several useful numerical techniques. Computers can be used as a discovery tool to explore new ideas, and students will be encouraged to do so. The Science Learning Center provides the software and books needed to do most of the homeworks. Grading is based on homeworks and two exams. Texts: (Recommended) S.H. Strogatz, Nonlinear Dynamics and Chaos, with Applications to Physics, Biology, Chemistry, and Engineering (AddisonWesley, 1994 J.H. Hubbard and B.H. West, Differential Equations: A Dynamical Systems Approach (part I and II) (SpringerVerlag, 1991 and 1995).
Physics 419/RC Nat. Sci. 419/NR&E 574/Public Policy 519. Energy Demand.
Prerequisites & Distribution: Basic college economics and senior standing. (3).May not be included in a concentration plan in physics.
Credits: (3).
Course Homepage: No Homepage Submitted.
The natural resource impact of any particular human activity can usually be drastically reduced – given technological development and institutional change. (This is true for a variety of resources: fuels, forests, clean water, clean air...). This course is about the end use of energy and its efficiency – in contrast with a focus on the supply of energy. Thus we will not find out how to provide more electricity or how to clean up power plants, but how we could provide the needed lighting and other services with much less electricity.
The course will examine the use of energy in the U.S. for transportation, for processing of materials by industry and for comfortable buildings. There will be a focus on transportation and the potential for reducing its environmental impacts, including controlling global warming by reducing the emission of greenhouse gases associated with energy use. The study will be done from the perspectives of physics, economics, behavior, social organization and politics. The course will require a paper on an issue involving a particular end use of energy and a project on some aspect of energy use in the locality. Prerequisites are a collegelevel course in mathematics or economics or physical science, and SENIOR standing. The course will require establishment of minimum proficiency in analytical techniques concerning energy.
Physics 435. Gravitational Physics.
Prerequisites & Distribution: Phys. 390 and 401. (3).
Credits: (3).
Course Homepage: No Homepage Submitted.
The Einstein theory of general relativity provides the foundation of gravitational physics, astrophysics, and cosmology. After an introduction to the theory, experimental tests of general relativity which were performed in the past, the implications of pulsars, black holes, supernovae, and cosmic background radiation as well as the ongoing experimental detection of gravitational waves are discussed. This is an elective course for concentrators in physical sciences. Regular exams as for any elective course in physics are given.
Physics 441. Advanced Laboratory I.
Prerequisites & Distribution: Phys. 390 and any 400level 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 photoelectric effect, electron charge/mass ratio, Xray 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.
Physics 451. Methods of Theoretical Physics.
Prerequisites & Distribution: Phys. 401. (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.
Physics 453. Quantum Mechanics.
Prerequisites & Distribution: Phys. 390. (3).
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.
Physics 505. Electricity and Magnetism I.
Section 001.
Prerequisites & Distribution: Graduate standing. (3).
Credits: (3).
Course Homepage: http://wwwmhp.physics.lsa.umich.edu/~keithr/p505/home.html
Electrostatics, timeindependent magnetic phenomena, timedependent 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 inclass, 80minute midterm exam covering chapters 14 of the Jackson text on Tuesday October 24, and the final exam covering chapters 17 will be held Monday December 18 1:303:30 p.m.
Grading: Course grades will be based on homework (35%), the midterm exam (30%) and the final exam (35%).
Physics 510. Statistical Physics I.
Section 001.
Prerequisites & Distribution: Phys. 406. Graduate standing. (3).
Credits: (3).
Course Homepage: http://wwwpersonal.umich.edu/~fcm/classes/510F00/index.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
 Ising Model
 Phase equilibrium and Phase Transitions
 Fluctuations
Required Text:
Goodstein, States of Matter.
Grading:
Homework – 40%, Midterm – 30%, Final – 30%.
Physics 511. Quantum Theory and Atomic Structure I and II.
Section 001.
Prerequisites & Distribution: Graduate standing. (3).
Credits: (3).
Course Homepage: No Homepage Submitted.
This is a twoterm sequence on the quantum theory and its applications to nonrelativistic atomic, molecular, nuclear and solid state systems; time independent and time dependent perturbation theory; angular momentum, scattering theory; interaction of photons with nonrelativistic systems; the Dirac equation.
Physics 513. Advanced Quantum Mechanics I.
Section 001 – Introduction to Quantum Field Theory I
Prerequisites & Distribution: Graduate standing. (3).
Credits: (3).
Course Homepage: https://coursetools.ummu.umich.edu/2000/fall/lsa/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 semester
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, AddisonWesley), 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.
Physics 515. Supervised Research.
Prerequisites & Distribution: Graduate standing. (46). (INDEPENDENT).
Credits: (46).
Course Homepage: No Homepage Submitted.
Four to six credithour courses in research.
Physics 516. Supervised Research.
Prerequisites & Distribution: Graduate standing. (46). (INDEPENDENT).
Credits: (46).
Course Homepage: No Homepage Submitted.
Four to six credithour courses in research.
Physics 520. Condensed Matter Physics.
Section 001.
Prerequisites & Distribution: "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, electronelectron interactions, phonons, electronphonon interactions, transport theory, semiconductor physics and superconductors.
Physics 522. Atomic Physics and Quantum Mechanics.
Section 001.
Prerequisites & Distribution: Graduate standing. (3).
Credits: (3).
Course Homepage: No Homepage Submitted.
The structure of atoms and the interaction of atoms with fields. Topics: nonrelativistic and relativistic hydrogen and positronium; Lamb shift; hyperfine interactions; group theory and the structure of multipleelectron atoms; coupling schemes; HartreeFock theory; single and multichannel quantumdefect theories; atoms in external fields; atomic transitions; linewidth; photoionization; strongfield effects; time reversal; parity violation; quantum chaos.
Physics 541. Elementary Particle Physics II.
Section 001.
Prerequisites & Distribution: Physics 521. Graduate standing. (3).
Credits: (3).
Course Homepage: No Homepage Submitted.
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. Will include predictions and tests of the electroweak theory, QCD, supersymmetry, and CP violation.
Physics 608/Biophys. 608/Biol. 608. Biophysical Principles of Microscopy.
Section 001.
Prerequisites & Distribution: Physics 405 and Graduate standing. (3).
Credits: (3).
Course Homepage: No Homepage Submitted.
No Description Provided
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Physics 631. Advanced Mathematical Physics.
Section 001.
Prerequisites & Distribution: Graduate standing and permission of instructor. (3).
Credits: (3).
Course Homepage: http://feynman.physics.lsa.umich.edu/~mduff/631/
No Description Provided
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Physics 650/EECS 538/Applied Physics 550. Lasers and ElectroOptics I.
Section 001.
Instructor(s): Herbert Winful
Prerequisites & Distribution: EECS 434. Graduate standing. (3).
Credits: (3).
Course Homepage: No Homepage Submitted.
See Applied Physics 550.001.
Physics 715. Special Problems.
Section 001.
Prerequisites & Distribution: Graduate standing and permission of instructor. (16).
Credits: (16).
Course Homepage: No Homepage Submitted.
No Description Provided
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Physics 990. Dissertation/Precandidate.
Prerequisites & Distribution: Election for dissertation work by doctoral student not yet admitted as a Candidate. Graduate standing. (18). (INDEPENDENT). May be repeated for credit.
Credits: (18; 14 in the halfterm).
Course Homepage: No Homepage Submitted.
Election for dissertation work by doctoral student not yet admitted as a Candidate.
Physics 993. Graduate Student Instructor Training Program.
Prerequisites & Distribution: 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.
Physics 995. Dissertation/Candidate.
Prerequisites & Distribution: Graduate School authorization for admission as a doctoral Candidate. Graduate standing. (8). (INDEPENDENT). May be repeated for credit.
Credits: (8; 4 in the halfterm).
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.
This page was created at 8:02 AM on Fri, Oct 20, 2000.
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