A NOTE ON THE SCHRODINGER OPERATOR WITH EXPONENTIAL POTENTIAL

Khanmamedov A. K., Mamedova A.

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, vol.47, no.1, pp.138-142, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 1
  • Publication Date: 2021
  • Journal Name: PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.138-142
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

The Schrodinger operator L = -d(2)/dx(2) + e(2x) on the positive half-line with the Dirichlet boundary condition at zero is studied. A description of the domain of definition of the operator L is given. Using the connection between the modified Bessel equation and the Schrodinger equation, the distribution of the zeros of the Macdonald function and its derivative is investigated.