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The one-dimensional inverse scattering problem for an increasing potential

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Author

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.

Publishing year

1986

Language

English

Pages

804-815

Publication/Series

Journal of Mathematical Physics

Volume

27

Issue

3

Document type

Journal article

Publisher

American Institute of Physics (AIP)

Topic

  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

ISBN/ISSN/Other

  • ISSN: 0022-2488