Wigner Functions for harmonic oscillator in noncommutative phase space

Details Wigner Functions for harmonic oscillator in noncommutative phase space Wigner Functions for harmonic oscillator in noncommutative phase space

2009-08-12

arxiv.org/abs/0908.1703v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex file

Scientific paper

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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