THE PERTURBED MAXWELL OPERATOR AS PSEUDODIFFERENTIAL OPERATOR
de Nittis G, Lein M (2014)
Publication Status: Published
Publication Type: Journal article
Publication year: 2014
Journal
Publisher: Universität Bielefeld, Fakultät für Mathematik
Book Volume: 19
Pages Range: 63-101
Abstract
As a first step to deriving effective dynamics and ray optics, we prove that the perturbed periodic Maxwell operator in d = 3 can be seen as a pseudodifferential operator. This necessitates a better understanding of the periodic Maxwell operator M-0. In particular, we characterize the behavior of M-0 and the physical initial states at small crystal momenta k and small frequencies. Among other things, we prove that generically the band spectrum is symmetric with respect to inversions at k = 0 and that there are exactly 4 ground state bands with approximately linear dispersion near k = 0.
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APA:
de Nittis, G., & Lein, M. (2014). THE PERTURBED MAXWELL OPERATOR AS PSEUDODIFFERENTIAL OPERATOR. Documenta Mathematica, 19, 63-101.
MLA:
de Nittis, Giuseppe, and Max Lein. "THE PERTURBED MAXWELL OPERATOR AS PSEUDODIFFERENTIAL OPERATOR." Documenta Mathematica 19 (2014): 63-101.
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