Kuchment, Peter; Levendorskiǐ, Sergei On absolute continuity of spectra of periodic elliptic operators. (English) Zbl 0965.35100 Dittrich, Jaroslav (ed.) et al., Mathematical results in quantum mechanics. QMath7 conference, Prag, Czech Republic, June 22-26, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 108, 291-297 (1999). The paper contains a brief description of a simplified version of A. Sobolev’s proof of absolute continuity for the spectra of periodic magnetic Schrödinger operators. This approach is in principle applicable to all periodic elliptic operators known to be of interest for mathematical physics (including Maxwell), and in all these cases leads to the same model problem in complex analysis.For the entire collection see [Zbl 0911.00055]. Reviewer: Ruxandra Stavre (Bucureşti) Cited in 1 Document MSC: 35P05 General topics in linear spectral theory for PDEs 35J10 Schrödinger operator, Schrödinger equation Keywords:periodic operator; elliptic operator; absolutely continuous spectrum; Schrödinger operator; magnetic and electric potential PDFBibTeX XMLCite \textit{P. Kuchment} and \textit{S. Levendorskiǐ}, in: Mathematical results in quantum mechanics. QMath7 conference, Prag, Czech Republic, June 22--26, 1998. Basel: Birkhäuser. 291--297 (1999; Zbl 0965.35100) Full Text: arXiv