Author: Gadyl'shin R.R.
Publisher: Springer Publishing Company
ISSN: 0040-5779
Source: Theoretical and Mathematical Physics, Vol.132, Iss.1, 2002-07, pp. : 976-982
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Abstract
We present necessary and sufficient conditions for the existence of eigenvalues of the Schrödinger operator on an axis under small local perturbations. In the case where the eigenvalues exist, we construct their asymptotic approximations.