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

Funktsional. Anal. i Prilozhen., 2007 Volume 41, Issue 1, Pages 39–51 (Mi faa2852)

This article is cited in 7 papers

On the Spectrum of a Vector Schrödinger Operator

R. S. Ismagilova, A. G. Kostyuchenkob

a N. E. Bauman Moscow State Technical University
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We consider the asymptotics of the spectrum of a Sturm–Liouville operator acting on a space of vector functions and show that this asymptotics is affected by “rotation” of eigenvectors of the potential. A similar result is obtained for a vector Schrödinger operator.

Keywords: Schrödinger operator, self-adjointness, discrete spectrum, counting function.

UDC: 517.98

Received: 19.04.2006

DOI: 10.4213/faa2852


 English version:
Functional Analysis and Its Applications, 2007, 41:1, 31–41

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