Scattering amplitudes and bound state energies for one-dimensional, weak potentials

Authors
Citation
Sh. Patil, Scattering amplitudes and bound state energies for one-dimensional, weak potentials, AM J PHYS, 67(7), 1999, pp. 616-619
Citations number
7
Categorie Soggetti
Physics
Journal title
AMERICAN JOURNAL OF PHYSICS
ISSN journal
00029505 → ACNP
Volume
67
Issue
7
Year of publication
1999
Pages
616 - 619
Database
ISI
SICI code
0002-9505(199907)67:7<616:SAABSE>2.0.ZU;2-F
Abstract
It is emphasized that one-dimensional, weak potentials have some special pr operties. They sustain a bound state provided the potential is attractive, and the transmission coefficient for them vanishes in the low energy limit. It is pointed out that a perturbation series for the inverse of the scatte ring amplitude provides a convenient expression for the analysis of these p roperties. (C) 1999 American Association of Physics Teachers.