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Physics P511/P512
Quantum Mechanics I-II - Fall 2006/Spring 2007

Course WWW home page: http://physics.indiana.edu/~berger/p511_fall2006/p511.html

TR 10:10-12:05PM (Section 13597)
Swain West 219
Instructor: Mike Berger

Phone: (812) 855-2609
Email: berger AT indiana.edu
WWW: http://physics.indiana.edu/~berger/aboutme.html
Office Hours: Wednesday, 1:30-3:30pm, or by appt.
Quantum Mechanics (P511-P512)

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o Text

Modern Quantum Mechanics (Rev. Ed.)

by J. J. Sakurai

o Outline

Fundamentals

States of a quantum mechanical system
Representations
Kets, bras, and operators
Amplitudes
Position and Momentum
Wave Functions

Quantum Dynamics

Time evolution and the Schrodinger equation
Schrodinger and Heisenberg Pictures
Simple Harmonic Oscillator
Path Integrals

Angular Momentum

Rotation group, Euler angles, SO(3), SU(2)
Spin-1/2 systems
Commutation Relations
Eigenstates of angular momentum
Addition of angular momentum
Clebsch-Gordon coefficients
Wigner-Eckart theorem

Symmetries

Conservation laws
Degeneracies
Parity
Time reversal
Translations

Perturbation Theory

Time-independent perturbation theory
Variational methods
Time-dependent perturbation theory

Quantum Indistinguisability

Permutation symmetry
Young tableaux

Scattering Theory

Lippmann-Schwinger equation
Born approximation
Optical theorem
Partial waves

o Other Useful Reference Material

Roger Newton, Quantum Physics: A Text for Graduate Students (Springer Verlag)

P.A.M. Dirac, The Principles of Quantum Mechanics (Oxford)

L.D. Landau and E.M. Lifshitz, Quantum Mechanics (Pergamon)

L.I. Schiff, Quantum Mechanics (McGraw-Hill)

G. Baym, Lectures on Quantum Mechanics (Benjamin)

H.A. Bethe and E.E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Springer)

H.J. Lipkin, Quantum Mechanics (North Holland)

J.D. Jackson, Mathematics for Quantum Mechanics (Benjamin)

L. Pauling and E.B. Wilson, Introduction to Quantum Mechanics (McGraw-Hill)

S. Glasstone, Theoretical Chemistry (Van Nostrand)

E. Merzbacher, Quantum Mechanics (Wiley)

S. Gasiorowicz, Quantum Physics (Wiley)

A. Messiah, Quantum Mechanics (2 volumes) (Wiley)



o Problem Sets

Note to Windows users: Postscript files can be viewed with GSview. Please see http://xxx.lanl.gov/help/pswindows.html for details.

Problem Sets will typically be due on Thursdays.

Problem Set 1

Problem Set 2

Problem Set 3

Problem Set 4

Problem Set 5

Problem Set 6

Exam I, October 19

Problem Set 7

Problem Set 8

Problem Set 9

Exam II, November 21

Problem Set 10

Exam III, December 14

Problem Set 11

Problem Set 12

Problem Set 13

Problem Set 14

Problem Set 15

Exam IV, March 1

Problem Set 16

Problem Set 17

Exam V, April 5

Problem Set 18

Problem Set 19

Exam VI, May 3

o Grades

Check your grades

o Grader

Leonid Isaev

o Websites for Time Evolution of Harmonic Oscillator States

http://www.fi.uib.no/AMOS/MOV/HO/

http://www.tp.umu.se/~holmlund/osc/

http://www.phys.uri.edu/~yoon/qhomain.html

o Website for Stark Effect for n=2 and 3

http://efrw01.frascati.enea.it/~apruzzes/ABS/strong.html