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Journal of Mathematical Sciences
, Volume 115, Issue 6, pp 28622882
First online:
Absolute Continuity of a TwoDimensional Magnetic Periodic Schrödinger Operator ith Potentials of the Type of Measure Derivative
 R. G. ShterenbergAffiliated withSt.Petersburg State University
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A twodimensional magnetic periodic Schrödinger operator with a variable metric is considered. An electric potential is assumed to be a distribution formally given by an expression \(\frac{{dv}}{{dx}}\), where dν is a periodic signed measure with a locally finite variation. We also assume that the perturbation generated by the electric potential is strongly subject (in the sense of forms) to the free operator. Under this natural assumption, we prove that the spectrum of the Schrödinger operator is absolutely continuous. Bibliography: 15 titles.
 Title
 Absolute Continuity of a TwoDimensional Magnetic Periodic Schrödinger Operator ith Potentials of the Type of Measure Derivative
 Journal

Journal of Mathematical Sciences
Volume 115, Issue 6 , pp 28622882
 Cover Date
 200306
 DOI
 10.1023/A:1023334206109
 Print ISSN
 10723374
 Online ISSN
 15738795
 Publisher
 Kluwer Academic PublishersPlenum Publishers
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 Authors

 R. G. Shterenberg ^{(1)}
 Author Affiliations

 1. St.Petersburg State University, Russia