ON THE SCATTERING THEORY OF ONE-DIMENSIONAL SCHRODINGER EQUATION WITH INFINITELY GROWING POTENTIAL


Məmmədova A.

Series of PHYSICO-MATHEMATICAL SCIENCES, no.3, pp.28-35, 2017 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Publication Date: 2017
  • Journal Name: Series of PHYSICO-MATHEMATICAL SCIENCES
  • Page Numbers: pp.28-35
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract


The Schrodinger equation with step-like infinitely growing potential is considered. Us-


ing the transformation operators special solutions with asymptotic behavior at infinity are con-


structed. The scattering problem is studied. The main equations of the inverse problem are ob-


tained. An algorithm for solving the inverse problem is indicated.