On absolute continuity of spectra of periodic elliptic operators

Details On absolute continuity of spectra of periodic elliptic operators On absolute continuity of spectra of periodic elliptic operators

1998-10-07

arxiv.org/abs/math-ph/9810002v1

Mathematical Results in Quantum Mechanics, Operator Theory Adv. and Appl. v. 108, Birkhauser Verlag, Basel 1999, 291-297

Physics

Mathematical Physics

LaTeX file, 7 pages

Scientific paper

The paper contains a brief description of a simplified version of A. Sobolev's proof of absolute continuity of spectra of periodic magnetic Schr\"{o}dinger operators. This approach is applicable to all periodic elliptic operators known to be of interest for math physics (including Maxwell), and in all these cases leads to the same model problem of complex analysis. The full account of this approach will be provided elsewhere.

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