SPECTRAL ANALYSIS OF THE STARK OPERATOR WITH A STEP-LIKE POTENTIAL

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Abbasova K.

Advanced Mathematical Models and Applications, vol.9, no.1, pp.105-109, 2024 (Scopus) identifier

  • 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
  • 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.