Magnetic translation groups in \(n\) dimensions
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Publication:1373557
DOI10.1016/0034-4877(96)88955-5zbMath0888.20027arXivcond-mat/9803187OpenAlexW3106231646WikidataQ125134617 ScholiaQ125134617MaRDI QIDQ1373557
Publication date: 1 April 1998
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/9803187
Statistical mechanics of crystals (82D25) Applications of Lie groups to the sciences; explicit representations (22E70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Extensions, wreath products, and other compositions of groups (20E22) Other geometric groups, including crystallographic groups (20H15)
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Representation-theoretic aspects of two-dimensional quantum systems in singular vector potentials: Canonical commutation relations, quantum algebras, and reduction to lattice quantum systems ⋮ Mac Lane method in the investigation of magnetic translation groups ⋮ Magnetic translation groups in an n-dimensional torus and their representations ⋮ Energy bands for finite two-dimensional systems in a quantised magnetic field: the symmetry of the model ⋮ Trions in a periodic potential ⋮ The role of a form of vector potential — normalization of the antisymmetric gauge
Cites Work
- Magnetic translation groups as group extensions
- Fiber structure of extensions of groups in crystallography
- Group-theoretical analysis of lattice Hamiltonians with a magnetic field
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