On local perturbations of Shrodinger operator in axis

2002/02/28 by R. R. Gadyl'shin
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:35J10

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published as Teoreticheckaya i matematicheskaya fizika, 2002, v. 132, No. 1, P. 97-104 (in Russian), translated in Theoretical and Mathematical Physics, 2002, V. 132, No. 1. · 9 pages

arxiv created 2002/04/23 · arxiv updated 2009/11/30

Abstract

We adduce the necessary and sufficient condition for arising of eigenvalues of Shrodinger operator in axis under small local perturbations. In the case of eigenvalues arising we construct their asymptotics.

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