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PHY 6646 - Spring 2003
Topics Covered
The subject matter of the course is defined by the content of the lectures
plus all reading assignments announced in class.
The main topics are listed below in the order they were covered.
Each topic is cross-referenced to the most closely related section(s) of
Shankar ("Sh"), Ballentine ("Ba"), Merzbacher ("Me"), and/or Sakurai ("Sa").
Addition of Angular Momenta
(continued from Fall 2002)
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Scalar, vector, and tensor operators (Sh15.3)
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Irreducible tensor operators (Sh15.3, handout)
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Particle in an Electromagnetic Field
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Charged particle in an EM field: general formalism (Sh18.4, Ba11.2)
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Charged particle in a uniform electric field (Me7.2)
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Charged particle moving in a uniform magnetic field (Ba11.3)
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The Aharanov-Bohm and related effects (Ba11.4, Sh18.4,
handout)
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Orbital and spin magnetic moments (Sh14.4)
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Spin dynamics (Sh14.4, Ba12.1)
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Spin-1/2 in a magnetic field (Sh14.4)
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The Variational Method
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Variational formulation of the eigenvalue problem (Ba10.6)
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The variational method (Ba10.6, Sh16.1)
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Variational theorem for the lowest eigenvalue (Sh16.1)
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Variational approximations for higher eigenvalues (Sh16.1, Me8.2)
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The WKB Method
Time-Independent Perturbation Theory
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Rayleigh-Schrodinger perturbation theory (Sh17.1, Sh17.2)
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Degenerate Rayleigh-Schrodinger perturbation theory (Sh17.3,
handout)
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Near degeneracy (Ba10.5)
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Brillouin-Wigner perturbation theory (Ba10.5,
handout)
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Time-Dependent Perturbation Theory
Scattering Theory
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Basic ideas (Sh19.2)
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Scattering theory (Sh19.4, Sa7.1, Me13.3)
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Born approximation (Sh19.3-4)
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Method of partial waves (Sh19.5)
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Two-particle scattering (Sh19.6)
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Identical Particles
Introduction to Relativistic Quantum Mechanics
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The Klein-Gordon and Dirac Equations (Sh20.1)
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The emergence of spin (Sh20.2)
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Antiparticles (Sh20.3)
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