Phys621 : (Fall 2006)
Quantum Mechanics

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This course is for graduate students in Physics and related areas.
Its goal is to help students acquire an advanced foundation in quantum
mechanics.
It assumes undergraduatelevel physics background, in particular
introductory quantum mechanics and basic mathematics.
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 Fundamental concepts. (13 lectures)
historical foundations; Schrodinger Equation and
wave function; Dirac notations;
measurements, observables, and the uncertainty relation;
eigenvalues and operators; spins; time evolution and
quantum dynamics; axioms of quantum theory; path integrals.
 Important ``first'' applications. (4 lectures)
simple Harmonic oscillator; onedimensional systems; motion in an
electromagnetic field; geometrical phase(*)
 Angular momentum.
(7 lectures)
Angular momentum commutation relations, rotations; eigenvalues and
eigenstates of angular momentum; orbital angular momenta; addition of
angular momenta; central forces; hydrogen atom.
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 "Modern Quantum Mechanics," by J. J. Sakurai,
edited by S. F. Tuan, Revised Edition
(AddisonWesley, Inc., Reading, Massachusetts, 1994) ISBN 0201539292.
Reference Books (many of these are on reserve in the Physics Library):
Baym, Lectures on Quantum Mechanics.
QC174.1 .B35
CohenTannoudji, Quantum Mechanics, 1977. QC 174.12 C6313
Dirac, Principles of Quantum Mechanics, 1958. QC 174.3 D5 1958
Gasiorowicz, Quantum Physics, 2nd ed., 1996.
QC 174.12 G37 1996
Gottfried, Quantum Mechanics. QC 174.1 G64
Gottfried and Yan, Quantum Mechanics: fundamentals, 2003.
QC 174.12 G68
Landau and Lifshitz, Quantum Mechanics: nonrelativistic theory,
1977. QC 174.12 L3513
Merzbacher, Quantum Mechanics, 1970. QC 174.12 M47 1998
Messiah, Quantum Mechanics. QC 174.1 M413
Schwabl, Quantum Mechanics. QC 174.12 S38713 1991.
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 45%  homework (7 sets)
 5%  classroom participation and overall effort
 25%  midterm (takehome)
 25%  final exam
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