N. I. Pletnikova, “Asymptotic behaviour of eigenfunctions of the Schrödinger operator with a non-local potential”, Vestn. Udmurtsk. Univ. Mat., 2007, no. 1, 109

Vestnik Udmurtskogo Universiteta. Matematika

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Vestnik Udmurtskogo Universiteta. Matematika, 2007, Issue 1, Pages 109–120 (Mi vuu269)

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Asymptotic behaviour of eigenfunctions of the Schrödinger operator with a non-local potential

N. I. Pletnikova

Udmurt State University, Izhevsk

Full-text PDF (477 kB) Citations (1)

Abstract: The asymtotic formulas for the (generalized) eigenfunctions of the Schrödinger operator with a non-local steplike potential for $x\to\pm\infty$ is found. The connection between the transmission and the reflection coefficients is established.

Received: 30.10.2006

Document Type: Article

UDC: 517.958 : 530.145.6

Language: Russian

Citation: N. I. Pletnikova, “Asymptotic behaviour of eigenfunctions of the Schrödinger operator with a non-local potential”, Vestn. Udmurtsk. Univ. Mat., 2007, no. 1, 109–120

Citation in format AMSBIB

\Bibitem{Ple07}

\by N.~I.~Pletnikova

\paper Asymptotic behaviour of eigenfunctions of the Schr\"odinger operator with a non-local potential

\jour Vestn. Udmurtsk. Univ. Mat.

\yr 2007

\issue 1

\pages 109--120

\mathnet{http://mi.mathnet.ru/vuu269}

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https://www.mathnet.ru/eng/vuu/y2007/i1/p109

This publication is cited in the following 1 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Вестник Удмуртского университета. Математика. Механика. Компьютерные науки

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