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The one-dimensional inverse scattering problem for an increasing potential

Kristensson, Gerhard LU (1986) In Journal of Mathematical Physics 27(3). p.804-815
Abstract
The one-dimensional inverse scattering problem is considered for potentials that grow without limit for large values of x. The Marchenko method is established for this class of potentials, and several properties of the solution to the Schrödinger equation are developed. In the derivation of the Marchenko equation an extension of the triangularity condition is used. Some brief remarks on the relation to the inverse radial problem and the generalization to hard core potentials are made.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Mathematical Physics
volume
27
issue
3
pages
804 - 815
publisher
American Institute of Physics
external identifiers
  • Scopus:36549098313
ISSN
0022-2488
language
English
LU publication?
no
id
cc2a87c1-c035-4769-b9f4-9821ad29d6f2 (old id 1039280)
alternative location
http://link.aip.org/link/?JMAPAQ/27/804/1
date added to LUP
2008-02-28 13:38:17
date last changed
2016-10-13 04:24:24
@misc{cc2a87c1-c035-4769-b9f4-9821ad29d6f2,
  abstract     = {The one-dimensional inverse scattering problem is considered for potentials that grow without limit for large values of x. The Marchenko method is established for this class of potentials, and several properties of the solution to the Schrödinger equation are developed. In the derivation of the Marchenko equation an extension of the triangularity condition is used. Some brief remarks on the relation to the inverse radial problem and the generalization to hard core potentials are made.},
  author       = {Kristensson, Gerhard},
  issn         = {0022-2488},
  language     = {eng},
  number       = {3},
  pages        = {804--815},
  publisher    = {ARRAY(0xba69860)},
  series       = {Journal of Mathematical Physics},
  title        = {The one-dimensional inverse scattering problem for an increasing potential},
  volume       = {27},
  year         = {1986},
}