On spectrum of a Schroedinger operator with a fast oscillating compactly supported potential
Denis I. Borisov, Rustem R. Gadyl'shin
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.
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