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

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

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.

本文言語English
ホスト出版物のタイトルMacroscopic Limits of Quantum Systems - 2017
編集者Maximilian Duell, Wojciech Dybalski, Sergio Simonella, Daniela Cadamuro
出版社Springer New York LLC
ページ215-242
ページ数28
ISBN(印刷版)9783030016012
DOI
出版ステータスPublished - 2018
イベントWorkshop on Macroscopic Limits of Quantum Systems, 2017 - munich, Germany
継続期間: 2017 3 302017 4 1

出版物シリーズ

名前Springer Proceedings in Mathematics and Statistics
270
ISSN(印刷版)2194-1009
ISSN(電子版)2194-1017

Other

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

ASJC Scopus subject areas

  • 数学 (全般)

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