This article is cited in 3 papers

Discrete Spectrum of the Schrodinger Operator Perturbed by a Narrowly Supported Potential

A. R. Bikmetov, D. I. Borisov

Bashkir State Pedagogical University

Abstract: We study asymptotic properties of the discrete spectrum of the Schrodinger operator perturbed by a narrowly supported potential. The first terms of the asymptotic expansions in the small parameter equal to the width of the support of the potential are constructed for the eigenvalues and the corresponding eigenfunctions.

Keywords: Schrodinger operator, spectrum, perturbation, asymptotic expansion.

Received: 19.05.2004
Revised: 03.05.2005

DOI: 10.4213/tmf1906

 English version: Theoretical and Mathematical Physics, 2005, 145:3, 1691–1702

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