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