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

Denis I. Borisov·Rustem R. Gadyl'shin
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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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Denis I. Borisov, Rustem R. Gadyl'shin. 2005-08-04. On spectrum of a Schroedinger operator with a fast oscillating compactly supported potential. https://doi.org/10.1007/s11232-006-0056-y

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