MIT 8.06 Quantum Physics III, Spring 2018 (English) (Part 2)

   Monday, December 09, 2024   

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Lecture 52: L13.1 Transition rates induced by thermal radiation

Lecture 53: L13.2 Transition rates induced by thermal radiation (continued)

Lecture 54: L13.3 Einstein's B and A coefficients determined. Lifetimes and selection rules

Lecture 55: L13.4 Charged particles in EM fields: potentials and gauge invariance

Lecture 56: L13.5 Charged particles in EM fields: Schrodinger equation

Lecture 57: L14.1 Gauge invariance of the Schrödinger Equation

Lecture 58: L14.2 Quantization of the magnetic field on a torus

Lecture 59: L14.3 Particle in a constant magnetic field: Landau levels

Lecture 60: L14.4 Landau levels (continued). Finite sample

Lecture 61: L15.1 Classical analog: oscillator with slowly varying frequency

Lecture 62: L15.2 Classical adiabatic invariant

Lecture 63: L15.3 Phase space and intuition for quantum adiabatic invariants

Lecture 64: L15.4 Instantaneous energy eigenstates and Schrodinger equation

Lecture 65: L16.1 Quantum adiabatic theorem stated

Lecture 66: L16.2 Analysis with an orthonormal basis of instantaneous energy eigenstates

Lecture 67: L16.3 Error in the adiabatic approximation

Lecture 68: L16.4 Landau-Zener transitions

Lecture 69: L16.5 Landau-Zener transitions (continued)

Lecture 70: L17.1 Configuration space for Hamiltonians

Lecture 71: L17.2 Berry's phase and Berry's connection

Lecture 72: L17.3 Properties of Berry's phase

Lecture 73: L17.4 Molecules and energy scales

Lecture 74: L18.1 Born-Oppenheimer approximation: Hamiltonian and electronic states

Lecture 75: L18.2 Effective nuclear Hamiltonian. Electronic Berry connection

Lecture 76: L18.3 Example: The hydrogen molecule ion

Lecture 77: L19.1 Elastic scattering defined and assumptions

Lecture 78: L19.2 Energy eigenstates: incident and outgoing waves. Scattering amplitude

Lecture 79: L19.3 Differential and total cross section

Lecture 80: L19.4 Differential as a sum of partial waves

Lecture 81: L20.1 Review of scattering concepts developed so far

Lecture 82: L20.2 The one-dimensional analogy for phase shifts

Lecture 83: L20.3 Scattering amplitude in terms of phase shifts

Lecture 84: L20.4 Cross section in terms of partial cross sections. Optical theorem

Lecture 85: L20.5 Identification of phase shifts. Example: hard sphere

Lecture 86: L21.1 General computation of the phase shifts

Lecture 87: L21.2 Phase shifts and impact parameter

Lecture 88: L21.3 Integral equation for scattering and Green's function

Lecture 89: L22.1 Setting up the Born Series

Lecture 90: L22.2 First Born Approximation. Calculation of the scattering amplitude

Lecture 91: L22.3 Diagrammatic representation of the Born series. Scattering amplitude for spherically symm...

Lecture 92: L22.4 Identical particles and exchange degeneracy

Lecture 93: L23.1 Permutation operators and projectors for two particles

Lecture 94: L23.2 Permutation operators acting on operators

Lecture 95: L23.3 Permutation operators on N particles and transpositions

Lecture 96: L23.4 Symmetric and Antisymmetric states of N particles

Lecture 97: L24.1 Symmetrizer and antisymmetrizer for N particles

Lecture 98: L24.2 Symmetrizer and antisymmetrizer for N particles (continued)

Lecture 99: L24.3 The symmetrization postulate

Lecture 100: L24.4 The symmetrization postulate (continued)