This article is cited in 2 papers

Properties of the Schrödinger Operator Spectrum in a Magnetic Field

M. B. Gubaidullin

Bashkir State University

Abstract: The properties of the spectrum of the Schrödinger operator with magnetic and electric potentials are investigated. We prove that the operator has no positive eigenvalues and its spectrum is absolutely continuous on the positive semiaxis.

Received: 02.08.2001

DOI: 10.4213/tmf301

 English version: Theoretical and Mathematical Physics, 2002, 130:2, 227–233

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