Lie algebra of DiffAT2and Bloch electrons in a constant uniform magnetic field

DOI10.1088/0305-4470/26/23/035zbMath0822.58062OpenAlexW2059053767WikidataQ115293602 ScholiaQ115293602MaRDI QIDQ4836526

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Publication date: 19 June 1995

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

Full work available at URL: https://doi.org/10.1088/0305-4470/26/23/035

zbMATH Keywords

magnetic fieldarea-preserving diffeomorphismssupersymmetric extensionBlock electronsine bracket algebratwo- torus

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of global analysis to the sciences (58Z05) Electromagnetic interaction; quantum electrodynamics (81V10) Statistical mechanics of solids (82D20) Supersymmetry and quantum mechanics (81Q60)

Related Items (3)

Rigid motions in the presence of a magnetic field ⋮ Bloch waves and non-commutative tori of magnetic translations ⋮ Quantum superalgebra \(sl_q(2/1)\) on the Poincaré half-plane

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