Representation of Noncommutative Phase Space

Abstract

The representations of the algebra of coordinates and momenta of noncommutative phase space are given. We study, as an example, the harmonic oscillator in noncommutative space of any dimension. Finally the map of Schrödinger equation from noncommutative space to commutative space is obtained. PACS number: 03.65Bz, 11.90.+t 1