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Wigner Functions for harmonic oscillator in noncommutative phase space

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arxiv 0908.1703 v1 pith:5HSTXFNW submitted 2009-08-12 hep-th

Wigner Functions for harmonic oscillator in noncommutative phase space

classification hep-th
keywords spacenon-commutativephasewignerfunctionharmonicoscillatordinger
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the Wigner Function in non-commutative quantum mechanics. By solving the time independent Schr\"{o}dinger equation both on a non-commutative (NC) space and a non-commutative phase space, we obtain the Wigner Function for the harmonic oscillator on NC space and NC phase space respectively.

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