On the spectrum of an "even" periodic Schrödinger operator with a rational magnetic flux | Zendy

N. Filonov | Zendy; Alexander V. Sobolev | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

N. Filonov,

Alexander V. Sobolev

Publication year - 2015

Publication title -

journal of spectral theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.063

H-Index - 19

eISSN - 1664-0403

pISSN - 1664-039X

DOI - 10.4171/jst/102

Subject(s) - operator (biology) , spectrum (functional analysis) , schrödinger's cat , flux (metallurgy) , physics , magnetic flux , mathematical physics , mathematics , theoretical physics , quantum electrodynamics , quantum mechanics , magnetic field , chemistry , biochemistry , repressor , transcription factor , gene , organic chemistry

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research