Taming of the wild group of magnetic translations

DOI10.1063/1.531917zbMath0882.22010arXivcond-mat/9701014OpenAlexW3106255894MaRDI QIDQ4340143

Peter Varga

Publication date: 16 June 1997

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9701014

zbMATH Keywords

magnetic fieldrepresentationLie algebraLie groupelectrongroup of magnetic translationstype I group

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Applications of Lie groups to the sciences; explicit representations (22E70) Statistical mechanics of magnetic materials (82D40)

Cites Work

• Localization for a class of one dimensional quasi-periodic Schrödinger operators
• A metal-insulator transition for the almost Mathieu model
• Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential
• The superspace groups for incommensurate crystal structures with a one-dimensional modulation
• Quantization and representations of solvable Lie groups

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