PHYSICS 581 - Spring 2008
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Instructor: P. Phillips, Rm. 2121 ESB Grader: J. Wu, (email:wu4@uiuc.edu) 4107 ESB |
Exams: Midterm, Final at end of term
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Suggested Texts: Baym, Davydov, Feynman (Statistical Mechanics),
Feynman and Hibbs, Shankar Note to Students: Buy either Baym or Shankar at www.amazon.com |
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I. Fundamentals of time-dependent quantum mechanics A. Heisenberg and Schroedinger pictures, 1st-order Perturbation theory B. Light-heavy particle collision, nth-order perturbative result C. Fermi’s golden rule D. Quantization of a radiation field E. Einstein A and B coefficients, dipole selection rules F. Density Matrices G. Loss of quantum coherence H. Functional integration, extremum principle I. Free-particle action, tunneling, instantons J. Double-well done doubly well K. Functional integration of harmonic oscillator in external field L. Particle in a magnetic field, Aharonov-Bohm Effect II. Spin 1/2A. Spin-angular momentum B. Spin magnetic moment, spin-orbit coupling, Pauli equation C. Spins in magnetic fields, Stern-Gerlach experiment D. Addition of angular momentum E. Clebsch-Gordon coefficients F. Klein-Gordon equation G. b-matrices, Dirac equationIII. Many-Body Problems A. Identical particles, second-quantization B. Hartree-Fock approximation/Koopman’s theorem C. Interacting e− gasD. Two-electron atoms, Thomas-Fermi E. Zeeman splitting F. Introduction to superconductivity, Cooper pairs |
Lecture 0
Problem Set 1 Solutions
Problem Set 2 - Due Feb. 11 Problem Set 3 - Due Feb. 27 Problem Set 4 - Due Mar. 10 UPDATED 3/14 - Midterm - Due Mar. 28 Problem Set 5 - Due April 9
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