Transformation operators for the schrödinger equation with a linearly increasing potential
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.40, no.1, pp.16-20, 2020 (Scopus)
- 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
- Open Archive Collection: Article
- 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.