Abstract
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 in principle 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.
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Kuchment, P., Levendorskiǐ, S. (1999). On absolute continuity of spectra of periodic elliptic operators. In: Dittrich, J., Exner, P., Tater, M. (eds) Mathematical Results in Quantum Mechanics. Operator Theory Advances and Applications, vol 108. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8745-8_27
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DOI: https://doi.org/10.1007/978-3-0348-8745-8_27
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