Topological properties of quantum periodic Hamiltonians

DOI10.1088/0305-4470/33/3/308zbMath1002.81023arXivcond-mat/9910325OpenAlexW2010033228MaRDI QIDQ4495905

Frédéric Faure

Publication date: 13 August 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9910325

zbMATH Keywords

semiclassical approachtopological quantum numberstorus phase spaceFloquet parametertopological Chern index

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

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