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Unformatted text preview: 4. Angular momentum Angular momentum operators; eigenvalues and eigenfunctions (spherical harmonics). Orbital angular momentum. The hydrogen atom. Spin. Exchange symmetry for identical particles; bosons and fermions. Slater determinants. 5. Time-independent approximation methods Perturbation theory (non-degenerate and degenerate). Projection operators and Greens functions. The variational principle. Linear variations and basis set expansions. Self-consistent field theory. The Born-Oppenheimer approximation. Potential functions. 6. Introduction to time-dependent quantum mechanics The time-dependent Schrdinger equation. Stationary states. Evolution of non-stationary states. Time-evolution operator for time-independent Hamiltonians. The Schrdinger, Heisenberg and interaction representations. The Heisenberg equation of motion. Time evolution operator for time-dependent Hamiltonians. Time ordering and Dyson series....
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This note was uploaded on 02/08/2012 for the course CHEM 540 taught by Professor Mccall during the Fall '08 term at University of Illinois, Urbana Champaign.
- Fall '08