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- The angular momentum operators - Shift or ladder operators - The eigenvalue spectrum - The eigenfunctions - spherical harmonics - Angular momentum and rotation - Coupling or addition of angular moments 2. Central force fields - General treatment of the problem of a particle in a central potential - The radial equation and solutions - The free particle - The hydrogen atom 3. Scattering (collision theory) - Introduction to scattering cross section, centre of mass frame, scattering amplitude - The Born approximation - Scattering by a central potential; partial wave analysis 4. Approximation methods in quantum mechanics - Perturbation theory for non-degenerate stationary states - Degenerate perturbation theory - Time dependent perturbation theory - The variational method 5. Many particle system - identical particles - The principle of indistinguishability of identical particles - Symmetric and antisymmetric wave functions - The Pauli exclusion principle - Scattering of identical particles. Assessment is by assignments and examination. | |||||||||||||||||||
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Date: | 01 September 1992 bb
Source: COSIT Brochure |
© 1999 International Centre for Distance Learning, The Open University