On spectrum of a Schroedinger operator with a fast oscillating compactly supported potential

Details On spectrum of a Schroedinger operator with a fast oscillating compactly supported potential On spectrum of a Schroedinger operator with a fast oscillating compactly supported potential

2005-08-04

arxiv.org/abs/math-ph/0508013v1

Theoretical and Mathematical Physics. 2006. V. 147. No.1. P. 496-500.

Physics

Mathematical Physics

The article is originally written in Russian. The translation in English is made by D. Borisov

Scientific paper

10.1007/s11232-006-0056-y

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.

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