On absolute continuity of spectra of periodic elliptic operators

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The paper contains a brief description of a simplified version of A. Sobolev's proof of absolute continuity of spectra of periodic magnetic Schrödinger 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.
LaTeX file, 7 pages

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Mathematical Physics, Analysis of PDEs, 35P99, 35J10

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http://salesiana.dossiersoluciones.com/handle/123456789/58227

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/9810002
 http://arxiv.org/abs/math-ph/9810002
 Mathematical Results in Quantum Mechanics, Operator Theory Adv. and Appl. v. 108, Birkhauser Verlag, Basel 1999, 291-297

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arXiv