The $\star$-value Equation and Wigner Distributions in Noncommutative Heisenberg algebras

Details The $\star$-value Equation and Wigner Distributions in Noncommutative Heisenberg algebras The $\star$-value Equation and Wigner Distributions in Noncommutative Heisenberg algebras

2005-05-13

arxiv.org/abs/hep-th/0505127v1

Gen.Rel.Grav. 38 (2006) 607-624

Physics

High Energy Physics

High Energy Physics - Theory

19 pages

Scientific paper

10.1007/s10714-006-0251-z

We consider the quantum mechanical equivalence of the Seiberg-Witten map in the context of the Weyl-Wigner-Groenewold-Moyal phase-space formalism in order to construct a quantum mechanics over noncommutative Heisenberg algebras. The formalism is then applied to the exactly soluble Landau and harmonic oscillator problems in the 2-dimensional noncommutative phase-space plane, in order to derive their correct energy spectra and corresponding Wigner distributions. We compare our results with others that have previously appeared in the literature.

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