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Proceedings Paper

Separable potentials as a bridge between continuous and discrete scattering theories
Author(s): V. V. Sokolovsky; Yuri V. Popov; A. A. Gusev; Sergey I. Vinitsky
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Paper Abstract

A special class of separable potentials in the momentum space is proposed which is equivalent to 3D δ-functions in the configuration space. These potentials allow generation of a large number of exact solutions of time-dependent and time-independent Helmgoltz (Schroedinger) equations. It is shown numerically that in the 1D case δ-functions effectively approach the continuous potentials via a convergent algorithm.

Paper Details

Date Published: 13 July 2004
PDF: 7 pages
Proc. SPIE 5476, Saratov Fall Meeting 2003: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling IV, (13 July 2004); doi: 10.1117/12.578892
Show Author Affiliations
V. V. Sokolovsky, Moscow State Univ. (Russia)
Yuri V. Popov, Moscow State Univ. (Russia)
A. A. Gusev, Joint Institute for Nuclear Research (Russia)
Sergey I. Vinitsky, Joint Institute for Nuclear Research (Russia)


Published in SPIE Proceedings Vol. 5476:
Saratov Fall Meeting 2003: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling IV
Vladimir L. Derbov; Leonid A. Melnikov; Lev M. Babkov, Editor(s)

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