SPECTRAL ANALYSIS OF THE STARK OPERATOR WITH A STEP-LIKE POTENTIAL
Advanced Mathematical Models and Applications, vol.9, no.1, pp.105-109, 2024 (Scopus)
- Publication Type: Article / Article
- Volume: 9 Issue: 1
- Publication Date: 2024
- Doi Number: 10.62476/amma91.5
- Journal Name: Advanced Mathematical Models and Applications
- Journal Indexes: Scopus
- Page Numbers: pp.105-109
- Keywords: formula of the expansion, scattering problem, step-like potential, the Airy function, The Stark operator
- Open Archive Collection: Article, Digital Heritage Collection
- Azerbaijan State University of Economics (UNEC) Affiliated: Yes
Abstract
The Stark operator with a step-like potential is considered. An explicit form of special solutions to the corresponding Stark equation is found. The scattering problem for the operator L is studied. A formula for expansion in terms of eigenfunctions of a continuous spectrum is obtained.