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On the spectrum of an "even" periodic Schroedinger operator with a rational magnetic flux

Authors
  • Filonov, N. D.
  • Sobolev, A. V.
Type
Preprint
Publication Date
Aug 24, 2013
Submission Date
Aug 24, 2013
Identifiers
arXiv ID: 1308.5323
Source
arXiv
License
Yellow
External links

Abstract

We study the Schr\"odinger operator on $L_2(\mathbb R^3)$ with periodic variable metric, and periodic electric and magnetic fields. It is assumed that the operator is reflection symmetric and the (appropriately defined) flux of the magnetic field is rational. Under these assumptions it is shown that the spectrum of the operator is absolutely continuous. Previously known results on absolute continuity for periodic operators were obtained for the zero magnetic flux.

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