THE SCHRÖDINGER OPERATOR WITH GROWING POTENTIAL

Abbasova K.

Advanced Mathematical Models and Applications, vol.8, no.1, pp.14-18, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 1
  • Publication Date: 2023
  • Journal Name: Advanced Mathematical Models and Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.14-18
  • Keywords: Dirichlet boundary condition, growing potential, The Schrödinger operator, the Weber function
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

The Schrödinger operator with a quadratically growing potential on the positive half-line with the Dirichlet boundary condition at zero is studied. An explicit form of the inverse operator is found. Using the inverse operator, a description of the considered operator is given.