Open AccessPhysics and AstronomyMathematics

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

Kh.E. Abbasova

2024.4.23Advanced Mathematical Models and Applications

DOI: 10.62476/amma91.5

tlooto Summary

Stark operator with a step-like potential is analyzed using spectral analysis, finding explicit solutions and expansion formulas.

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.

Citation format

ABBASOVA, Kh.E. SPECTRAL ANALYSIS OF THE STARK OPERATOR WITH a STEP-LIKE POTENTIAL. Advanced Mathematical Models and Applications, 2024.