Quantum scattering in 3D - stationary theory
Completion requirements
- Scattering boundary conditions
- Scattering amplitude and the definition of the differential scattering cross section
- Partial wave expansion and the standing-wave basis in 3D
- Expansion coefficients for the scattering state
- Riccati functions
- Asymptotic phase shift and its relation to attractive and repulsive potentials
- Cross sections and the unitary limit on partial cross sections
- K-matrix, S-matrix and T-matrix
- Wigner's threshold law
- Applications: low-energy and high energy behavior of hard sphere scattering, square well scattering. The role of energy vs angular momentum.
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