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

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

2007-06-25

arxiv.org/abs/0706.3650v1

J.Phys.A40:12415-12438,2007

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, no figures

Scientific paper

10.1088/1751-8113/40/41/011

In 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.

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