The one-dimensional inverse scattering problem for an increasing potential
Författare
Summary, in English
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.
Publiceringsår
1986
Språk
Engelska
Sidor
804-815
Publikation/Tidskrift/Serie
Journal of Mathematical Physics
Volym
27
Issue
3
Dokumenttyp
Artikel i tidskrift
Förlag
American Institute of Physics (AIP)
Ämne
- Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 0022-2488