MIT

Phase space and intuition for quantum adiabatic invariants (M-I-T)

Analysis with an orthonormal basis of instantaneous energy eigenstates (M-I-T)

Error in the adiabatic approximation  (M-I-T)

Landau-Zener transitions (continued)  (M-I-T)

Landau-Zener transitions (M-I-T)

Quantum adiabatic theorem stated (M-I-T)

Berry's phase and Berry's connection (M-I-T)

Configuration space for Hamiltonians (M-I-T)

Molecules and energy scales (M-I-T)

Properties of Berry's phase (M-I-T)

Born-Oppenheimer approximation: Hamiltonian and electronic states (M-I-T)

Effective nuclear Hamiltonian. Electronic Berry connection (M-I-T)

Example: The hydrogen molecule ion (M-I-T)

Differential and total cross section (M-I-T)

Differential as a Sum of Partial Waves (M-I-T)

Elastic scattering defined and assumptions (M-I-T)

Energy eigenstates: incident and outgoing waves. Scattering amplitude (M-I-T)

Cross Section in Terms of Partial Cross Sections. Optical Theorem (M-I-T)

Identification of Phase Shifts. Example: Hard Sphere (M-I-T)

Review of Scattering Concepts Developed So Far (M-I-T)

Scattering Amplitude in Terms of Phase Shifts (M-I-T)

General Computation of the Phase Shifts (M-I-T)

The One-Dimensional Analogy for Phase Shifts (M-I-T)

Integral Equation for Scattering and Green's Function (M-I-T)

Phase Shifts and Impact Parameter (M-I-T)