On spectrum of a Schroedinger operator with a fast oscillating compactly supported potential
arXiv:math-ph/0508013 · doi:10.1007/s11232-006-0056-y
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.
The article is originally written in Russian. The translation in English is made by D. Borisov