Taking inspiration from quantum-wave analogies—recent results for photonic crystals

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Similarities between quantum systems and analogous systems for classical waves have been used to great effect in the physics community, be it to gain an intuition for quantum systems or to anticipate novel phenomena in classical waves. This proceeding reviews recent advances in putting these quantum-wave analogies on a mathematically rigorous foundation for classical electromagnetism. Not only has this Schrödinger formalism of electromagnetism led to new, interesting mathematical problems for the so-called Maxwell-type operators, but has also improved the understanding of the physics of topological phenomena in electromagnetic media. For example, it enabled us to classify electromagnetic media by their material symmetries, and explained why “fermionic time-reversal symmetries” that were conjectured to exist in the physics literature are, in fact, forbidden.

Original languageEnglish
Title of host publicationMacroscopic Limits of Quantum Systems - 2017
EditorsMaximilian Duell, Wojciech Dybalski, Sergio Simonella, Daniela Cadamuro
PublisherSpringer New York LLC
Pages215-242
Number of pages28
ISBN (Print)9783030016012
DOIs
Publication statusPublished - 2018
EventWorkshop on Macroscopic Limits of Quantum Systems, 2017 - munich, Germany
Duration: 2017 Mar 302017 Apr 1

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume270
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherWorkshop on Macroscopic Limits of Quantum Systems, 2017
CountryGermany
Citymunich
Period17/3/3017/4/1

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Lein, M. (2018). Taking inspiration from quantum-wave analogies—recent results for photonic crystals. In M. Duell, W. Dybalski, S. Simonella, & D. Cadamuro (Eds.), Macroscopic Limits of Quantum Systems - 2017 (pp. 215-242). (Springer Proceedings in Mathematics and Statistics; Vol. 270). Springer New York LLC. https://doi.org/10.1007/978-3-030-01602-9_10