THE INVERSE SCATTERING PROBLEM FOR A SCHRÖDINGER EQUATION WITH AN ADDITIONAL LINEAR POTENTIAL

Authors

  • H.M. Huseynov
  • A.F. Mamedova

Keywords:

the Schrödinger equation, transformation operators, inverse scattering problem, main equations

Abstract

A Schrödinger equation with an additional linear potential on the whole line is considered. Using the transformation operators special solutions with asymptotic behavior at infinity are constructed. The inverse scattering problem is studied. The main equation of inverse problem is obtained. We develop an algorithm for solving the inverse problem of reconstruction of perturbed coefficient.

Downloads

Published

2024-02-20

Issue

Vol. 74 No. 1 (2018)

Section

Articles