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The chapter reference listed here for each topic pertains to the course
text -
Quantum Mechanics: Fundamentals, By Gottfried & Tung-Mow Yan,
2nd Edition, Springer Verlag
| Topic |
Details |
Chapter References |
| Scattering Theory |
Continuum Functions, Scattering amplitude & cross
sections, Born series, Partial-wave analysis |
4.4, 8.1, 8.2, 8.3, 9.1 |
| Motion in a Magnetic field |
Gauge Invariance, Landau Levels, Aharonov-Bohm Effect,
Macroscopic Quantum Coherence |
4.3 |
| Advanced Theory of Angular Momentum |
Spin 1/2 Systems, Addition of Angular momenta, Tensor
Operators, Wigner-Eckart Theorem, Vector Model, Lande Factor |
3.3, 3.5, 7.4, 7.6 |
| Relativistic QM |
Klein-Gordon Equation, Dirac Equation, Non-relativistic
reduction |
13.2, 13.3 |
| Variational Approach |
Direct Variational Method, Diagonalisation, Resonance
Problems |
3.7, 4.1 |
| Stationary Perturbations |
Rayleigh - Schrödinger expansion, fine and hyperfine
structure of spectra, atom in static electric and magnetic fields,
band structure of solids |
3.7, 5.3, 5.4 |
| Time-Dep Peturbations |
Transition probability, Golden rule, Adiabatic and Sudden
perturbations |
3.7, 4.1 |
| Radiation Theory |
Quantization of E-M field, absorption and emission,
photoelectric effect |
10.1-10.4, 10.6 |
| Many Body Systems |
Identical particles, Bosons and Fermions, shell structure
of atoms and nuclei, Thomas-Fermi approximation |
6.1, 8.7, 11.1 |
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