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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2003 Volume 37, Issue 1, Pages 85–88 (Mi faa140)

This article is cited in 11 papers

Brief communications

A Schrödinger Operator with $\delta'$-Interaction

L. P. Nizhnik

Institute of Mathematics, Ukrainian National Academy of Sciences

Abstract: The number of negative eigenvalues of a Schrödinger operator with point $\delta'$-interaction and with a $\delta'$-interaction on a Cantor set are found.

Keywords: Schrödinger operator, point interaction, negative eigenvalues, Cantor set.

UDC: 517.9

Received: 06.04.2002

DOI: 10.4213/faa140


 English version:
Functional Analysis and Its Applications, 2003, 37:1, 72–74

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