On spectrum of a Schroedinger operator with a fast oscillating compactly supported potential
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
We study the phenomenon of an eigenvalue emerging from essential spectrum of a Schroedinger operator perturbed by a fast oscillating compactly supported potential. We prove the sufficient conditions for the existence and absence of such eigenvalue. If exists, we obtain the leading term of its asymptotics expansion.
Cite
@article{arxiv.math-ph/0508013,
title = {On spectrum of a Schroedinger operator with a fast oscillating compactly supported potential},
author = {Denis I. Borisov and Rustem R. Gadyl'shin},
journal= {arXiv preprint arXiv:math-ph/0508013},
year = {2009}
}
Comments
The article is originally written in Russian. The translation in English is made by D. Borisov