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Variable phase approach to potential scattering /
| Call Number: | Libro Electrónico |
|---|---|
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Amsterdam :
Elsevier Science,
1967.
|
| Series: | Mathematics in science and engineering ;
v. 35. |
| Subjects: | |
| Online Access: | Texto completo Texto completo Texto completo |
Table of Contents:
- Review of scattering theory
- Derivation of the phase equation
- Discussion of the phase equation and of the behavior of the phase function : procedures for the numerical computation of scattering phase shifts
- Phase function, examples
- Connection between phase function and radial wave function : the amplitude function
- Bounds on the scattering phase shift and on its variation with energy
- Born approximation and improved Born approximation
- Variational and extremum principles for evaluationg scattering phase shifts
- Born approximation, improved Born approximation, variational and extremum principles
- Low-energy expansion, scattering length and effective range, bounds on the zero-energy cross section
- Scattering length and its approximate and variational expressions
- Scattering length and its approximate and variational expressions
- Generalized formulation of the phase method, other types of phase equations
- Simultaneous maximum and minimum principles for the evaluation of scattering phase shifts
- Scattering on singular potentials, high-energy behavior and approximate expression of the scattering phase shift in this case
- Further generalization of the phase method
- Scattering of Dirac particles
- Scattering on nonlocal potentials and on complex potentials
- Multichannel case
- Bound states, discussion of the pole equation and of the behavior of the pole functions for q> 0
- Behavior of pole functions and computation of binding energies
- Relation between the number of bound states and the value of the scattering phase shift at zero energy (Levinson's theorem)
- Bounds on the number and energies of bound states in a given potential, necessary and sufficient conditions for the existence of bound states.