Filonov, ND;
Sobolev, AV;
(2015)
On the spectrum of an "even" periodic Schrodinger operator with a rational magnetic flux.
Journal of Spectral Theory
, 5
(2)
pp. 381-398.
10.4171/JST/102.
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Abstract
We study the Schrödinger operator on L_{2}(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.
| Type: | Article |
|---|---|
| Title: | On the spectrum of an "even" periodic Schrodinger operator with a rational magnetic flux |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4171/JST/102 |
| Publisher version: | http://dx.doi.org/10.4171/JST/102 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Magnetic Schrödinger operator, absolute continuity, rational flux |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10076819 |
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