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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive
TMF, 2002 Volume 132, Number 1, Pages 97–104 (Mi tmf349)
This article is cited in 55 papers

Local Perturbations of the Schrödinger Operator on the Axis

R. R. Gadyl'shin

Bashkir State Pedagogical University

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.

Keywords: Schrödinger operator, perturbation, eigenvalue, asymptotic approximation.

Received: 25.10.2001

DOI: 10.4213/tmf349


 English version: Theoretical and Mathematical Physics, 2002, 132:1, 976–982

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