The one-dimensional inverse scattering problem for an increasing potential
(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:
https://lup.lub.lu.se/record/1039280
- author
- Kristensson, Gerhard LU
- publishing date
- 1986
- 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 (AIP)
- 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
- 2016-04-04 09:07:41
- date last changed
- 2021-01-03 10:22:23
@article{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 = {{American Institute of Physics (AIP)}}, series = {{Journal of Mathematical Physics}}, title = {{The one-dimensional inverse scattering problem for an increasing potential}}, url = {{http://link.aip.org/link/?JMAPAQ/27/804/1}}, volume = {{27}}, year = {{1986}}, }