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arXiv · 0706.3650

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

Jan Govaerts·Frederik G. Scholtz
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Abstract

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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Jan Govaerts, Frederik G. Scholtz. 2007-06-25. The Weyl-Heisenberg Group on the Noncommutative Two-Torus: A Zoo of Representations. https://doi.org/10.1088/1751-8113/40/41/011

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