Dirac operator with linear potential and its perturbations
Spectral Theory
2016-09-01 v1 Mathematical Physics
math.MP
Abstract
We prove that canonical Dirac expression with linear potential generates operators on axis and half axis, for which we can find the eigenvalues and eigenfunctions in explicit form. We construct the perturbations of these operators with in advance given spectra.
Cite
@article{arxiv.1608.08652,
title = {Dirac operator with linear potential and its perturbations},
author = {Yuri A. Ashrafyan and Tigran N. Harutyunyan},
journal= {arXiv preprint arXiv:1608.08652},
year = {2016}
}
Comments
14 pages