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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2012 Volume 46, Issue 4, Pages 83–85 (Mi faa3081)
This article is cited in 4 papers

Brief communications

On the Discreteness of the Spectrum of the Magnetic Schrödinger Operator

A. R. Alievab, E. Kh. Eivazovb

a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku
b Baku State University

Abstract: We establish sufficient conditions for the discreteness of the spectrum of the magnetic Schrödinger operator in terms of the Lebesgue measure.

Keywords: magnetic Schrödinger operator, quantum mechanics, self-adjoint operator, discrete spectrum, Lebesgue measure.

UDC: 517.958

Received: 17.12.2010

DOI: 10.4213/faa3081


 English version: Functional Analysis and Its Applications, 2012, 46:4, 305–307

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