The Weyl-Heisenberg Group on the Noncommutative Two-Torus: A Zoo of Representations

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dc.creatorGovaerts, Jan
dc.creatorScholtz, Frederik G.
dc.date2007-06-25
dc.date.accessioned2026-07-07T10:56:25Z
dc.date.available2026-07-07T10:56:25Z
dc.descriptionIn order to assess possible observable effects of noncommutativity in deformations of quantum mechanics, all irreducible representations of the noncommutative Heisenberg algebra and Weyl-Heisenberg group on the two-torus are constructed. This analysis extends the well known situation for the noncommutative torus based on the algebra of the noncommuting position operators only. When considering the dynamics of a free particle for any of the identified representations, no observable effect of noncommutativity is implied.
dc.description24 pages, no figures
dc.identifierhttps://arxiv.org/abs/0706.3650
dc.identifierhttp://arxiv.org/abs/0706.3650
dc.identifierJ.Phys.A40:12415-12438,2007
dc.identifierdoi:10.1088/1751-8113/40/41/011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186404
dc.subjectHigh Energy Physics - Theory
dc.titleThe Weyl-Heisenberg Group on the Noncommutative Two-Torus: A Zoo of Representations
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