This article is cited in 3 papers

The Spectrum and the Scattering Problem for the Schrödinger Operator in Magnetic Field

Kh. Kh. Murtazin, A. N. Galimov

Bashkir State University

Abstract: The main result of this paper is the proof of a nonexistence theorem on solutions with nonzero real singularities for the problem of scattering theory for the Schrödinger operator with magnetic and electric potentials.

Keywords: spectrum of the Schrödinger operator, Laplacian, scattering theory, electric potential, magnetic field, real singularity, resolvent equation.

UDC: 517.956.227

Received: 18.09.2006

DOI: 10.4213/mzm3773

 English version: Mathematical Notes, 2008, 83:3, 364–377

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