Magnetic translation groups in n dimensions
arXiv:cond-mat/9803187 · doi:10.1016/0034-4877(96)88955-5
Abstract
Magnetic translation groups are considered as central extensions of the translation group T=Z^n by the group of factors (a~gauge group) U(1). The obtained general formulae allow to consider a magnetic field as an~antisymmetric tensor (of rank 2) and factor systems are determined by a transvection of this tensor with a tensor product t \otimes t'.
15 pages, Latex 2.09 Presenetd at Symp. "Quant. Group & Their Appl. in Phys.", Poznan, Oct. 17-20 1995
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Cited by in corpus (6)
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- Magnetic translation groups in an n-dimensional torus
- Trions in a periodic potential
- Mac Lane method in the investigation of magnetic translation groups
- Algebraic description of a two-dimensional system of charged particles in an external magnetic field and periodic potential
- The role of a form of vector potential - normalization of the antisymmetric gauge