THE MODIFIED RESOLVENT FOR THE ONE-DIMENSIONAL SCHRODINGER OPERATOR WITH A REFLECTIONLESS POTENTIAL AND GREEN-FUNCTIONS IN MULTIDIMENSIONS

Authors
LEBLE S ZAITSEV A
Citation
S. Leble et A. Zaitsev, THE MODIFIED RESOLVENT FOR THE ONE-DIMENSIONAL SCHRODINGER OPERATOR WITH A REFLECTIONLESS POTENTIAL AND GREEN-FUNCTIONS IN MULTIDIMENSIONS, Journal of physics. A, mathematical and general, 28(22), 1995, pp. 585-588
Citations number
9
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
22
Year of publication
1995
Pages
585 - 588
Database
ISI
SICI code
0305-4470(1995)28:22<585:TMRFTO>2.0.ZU;2-O
Abstract
The representation of the resolvent of the one-dimensional Schrodinger operator with a reflectionless potential does not contain the integra l term. It is obtained via Jest function simple poles decomposition wi thin the formula for the Green function. As a corollary we have a new expression for the reflectionless potential with a free parameter. The results allow the Green functions for a wide class of multidimensiona l differential equations with a coefficient proportional to the potent ial to be obtained. Examples for diffusion and wave equations are give n.