2009•arXiv (Cornell University)Open access

Wigner Functions for harmonic oscillator in noncommutative phase space

Jianhua Wang, Kang Li, Sayipjamal Dulat

Abstract

We study the Wigner Function in non-commutative quantum mechanics. By solving the time independent Schrödinger 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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Key concepts: Noncommutative geometry, Harmonic oscillator, Phase space, Space (punctuation), Phase (matter), Harmonic, Mathematics, Physics