Quantum Leaps and Bounds: Scattering Theory
by
This volume of
QLB
gives an introduction to the basic ideas of quantum
scattering theory by considering the scattering of a relativistic
spinless particle from a fixed target.
PDF file (167 pages).
The table of contents of this volume
is:
- Introductory Remarks
- Preliminaries
- Fundamentals
- Coordinate/momentum bases
- Angular momentum bases
- Green's operators
- Scattering States
- In- and out-asymptotes
- Moller operators
- Scattering eigenkets
- Coordinate-space wave functions
- Preparation in a mixed state
- Scattering Operator
- Definition
- Properties
- Scattering amplitude
- Cross sections
- T operator
- Definition
- Properties
- Determining phase shifts and bound-state energies
- Scattering Eigenkets Revisited
- Properties of scattering eigenkets
- Properties of partial-wave eigenkets
- First Born approximation: some results
- Solving the nonrelativistic scattering problem
- Partial-Wave Amplitudes Revisited
- Definition
- Complex momentum and energy
- Complex angular momentum; Regge poles
- Space-time transformations
- Appendix A: Unitarily equivalent potentials
- Appendix B: Riccati functions