Variable phase approach to potential scattering
By: [edited by] F. Calogero
Series: Mathematics in Science and Engineering -- v. 35; Mathematics in science and engineering -- v. 35.
Publisher: Elsevier Science
Published: 1967
Place of publication: Amsterdam
Language: eng
Format: [electronic resource] /
Number of pages: 244
ISBN-13: 9780121555504
Subjects: Potential scattering
Notes: Includes bibliographical references and indexes.

Description based on print version record.
Table of contents: title: Review of scattering theory; title: Derivation of the phase equation; title: Discussion of the phase equation and of the behavior of the phase function : procedures for the numerical computation of scattering phase shifts; title: Phase function, examples; title: Connection between phase function and radial wave function : the amplitude function; title: Bounds on the scattering phase shift and on its variation with energy; title: Born approximation and improved Born approximation; title: Variational and extremum principles for evaluationg scattering phase shifts; title: Born approximation, improved Born approximation, variational and extremum principles; title: Low-energy expansion, scattering length and effective range, bounds on the zero-energy cross section; title: Scattering length and its approximate and variational expressions; title: Scattering length and its approximate and variational expressions; title: Generalized formulation of the phase method, other types of phase equations; title: Simultaneous maximum and minimum principles for the evaluation of scattering phase shifts; title: Scattering on singular potentials, high-energy behavior and approximate expression of the scattering phase shift in this case; title: Further generalization of the phase method; title: Scattering of Dirac particles; title: Scattering on nonlocal potentials and on complex potentials; title: Multichannel case; title: Bound states, discussion of the pole equation and of the behavior of the pole functions for q> 0; title: Behavior of pole functions and computation of binding energies; title: Relation between the number of bound states and the value of the scattering phase shift at zero energy (Levinson's theorem); title: Bounds on the number and energies of bound states in a given potential, necessary and sufficient conditions for the existence of bound states.