Transformation operators for the schrödinger equation with a linearly increasing potential

Abbasova K. E., Khanmamedov A. K.

Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.40, no.1, pp.16-20, 2020 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 1
  • Publication Date: 2020
  • Journal Name: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
  • Journal Indexes: Scopus
  • Page Numbers: pp.16-20
  • Keywords: Airy functions, Schrödinger equation, Stark equation, Transformation operator
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

The Schrödinger equation with a linearly growing potential is considered. Using transformation operators, we obtain representations of solutions of this equation with conditions at infinity. Estimates for the kernels of the transformation operators are obtained.