Quantum Mechanics 215A: OutlineQuantum Mechanics 215A: OutlineCh. 1: 2 classes |
Mathematics: Bra-Ket notation, linear algebra, delta function, etc. |
Ch. 2: 2 classes |
Classical mechanics: review. Hamiltonians, Lagrangians. |
Ch. 3: 1 classes |
Why quantum mechanics, anyway? Newton was a genius. |
Ch. 4: 2 classes |
Postulates of Quantum Mechanics: rules to study by. |
Ch. 5: 3 classes |
One particle in one dimension. Solvable, sometimes. |
Ch. 6: 1 classes |
Connecting to the classical limit. Uncertainty to certainty. |
Ch. 7: 3 classes |
The harmonic oscillator. Raising and lowering operators. |
Ch. 9: 1 classes |
The uncertainty relations of Heisenberg: what is unknowable? |
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End of Fall Quarter here. |
Ch. 11: 3 classes |
Symmetries, quantum numbers, and conserved quantities. |
Ch. 10: 3 classes |
More "degrees of freedom," many particles and all that. |
Ch. 12: 4 classes |
Rotational invariance and angular momentum. |
Ch. 13: 2 classes |
The hydrogen atom: an exactly solvable problem. Central potentials. |
Ch. 14: 3 classes |
Spin angular momentum, spinors, other weirdness. Spin control. |
Ch. 8: 2 classes |
Path integral formulation of QM: all you need to know. |
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Probable end of winter Quarter. |
Ch. 15: 3 classes |
Addition of angular momenta: peculiar vector operators. |
Ch. 16: 3 classes |
Variational method; WKB semiclassical approximation. |
Ch. 17: 3 classes |
Time-independent perturbation theory: the art of approximation. |
Ch. 18: 7 classes |
Time-dependent perturbation theory. Theory of evolution. |
Ch. 19: 6 classes |
Scattering theory: collisions in quantum mechanics. |
Ch. 20: 3 classes |
Relativistic quantum mechanics: the Dirac equation. |
Ch. 21: 0 classes |
Path integrals II; probably won't get to this information. |
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End of spring quarter. |