| Lecture 10: Fermi's Golden Rule |
| L10.1 |
Box regularization: density of states for the continuum (20:31) |
| L10.2 |
Transitions with a constant perturbation (19:01) |
| L10.3 |
Integrating over the continuum to find Fermi's Golden Rule (19:37) |
| L10.4 |
Autoionization transitions (11:30) |
| Lecture 11: Fermi's Golden Rule for Harmonic Transitions |
| L11.1 |
Harmonic transitions between discrete states (15:12) |
| L11.2 |
Transition rates for stimulated emission and absorption processes (17:12) |
| L11.3 |
Ionization of hydrogen: conditions of validity, initial and final states (20:54) |
| L11.4 |
Ionization of Hydrogen: Matrix Element for Transition (22:20) |
| Lecture 12: Hydrogen Ionization (completed). Light and Atoms |
| L12.1 |
Ionization Rate for Hydrogen: Final Result (16:23) |
| L12.2 |
Light and Atoms with Two Levels, Qualitative Analysis (14:31) |
| L12.3 |
Einstein's Argument: the Need for Spontaneous Emission (19:31) |
| L12.4 |
Einstein's argument: B and A coefficients (9:42) |
| L12.5 |
Atom-light interactions: dipole operator (11:10) |
| Lecture 13: Light and Atoms (continued). Charged Particles in Electromagnetic Fields |
| L13.1 |
Transition rates induced by thermal radiation (17:50) |
| L13.2 |
L13.2 Transition rates induced by thermal radiation (continued) (16:35) |
| L13.3 |
L13.3 Einstein's B and A coefficients determined. Lifetimes and selection rules (13:54) |
| L13.4 |
Charged particles in EM fields: potentials and gauge invariance (21:50) |
| L13.5 |
Charged particles in EM fields: Schrodinger equation (8:38) |
| Lecture 14: Charged Particles in Electromagnetic Fields (continued) |
| L14.1 |
Gauge invariance of the Schrodinger Equation (21:08) |
| L14.2 |
Quantization of the magnetic field on a toru (25:14) |
| L14.3 |
Particle in a constant magnetic field: Landau levels (18:19) |
| L14.4 |
Landau levels (continued). Finite sample (9:07) |
| Lecture 15: Adiabatic Approximation |
| L15.1 |
Classical analog: oscillator with slowly varying frequency (16:34) |
| L15.2 |
Classical adiabatic invariant (15:07) |
| L15.3 |
Phase space and intuition for quantum adiabatic invariants (16:23) |
| L15.4 |
Instantaneous energy eigenstates and Schrodinger equation (26:46) |
| Lecture 16: Adiabatic Approximation (continued) |
| L16.1 |
Quantum adiabatic theorem stated (13:02) |
| L16.2 |
Analysis with an orthonormal basis of instantaneous energy eigenstates (14:31) |
| L16.3 |
Error in the adiabatic approximation (14:21) |
| L16.4 |
Landau-Zener transitions (19:30) |
| L16.5 |
Landau-Zener transitions (continued) (14:18) |
| Lecture 17: Adiabatic Approximation: Berry's Phase |
| L17.1 |
Configuration space for Hamiltonians (15:27) |
| L17.2 |
Berry's phase and Berry's connection (25:04) |
| L17.3 |
Properties of Berry's phase (11:12) |
| L17.4 |
Molecules and energy scales (17:57) |
| Lecture 18: Adiabatic Approximation: Molecules |
| L18.1 |
Born-Oppenheimer approximation: Hamiltonian and electronic states (24:48) |
| L18.2 |
Effective nuclear Hamiltonian. Electronic Berry connection (20:02) |
| L18.3 |
Example: The hydrogen molecule ion (27:01) |
