Representation of noncommutative phase space
Kang Li, Jianhua Wang, Chiyi Chen
TL;DR
This paper explores how to represent the algebra of coordinates and momenta in noncommutative phase space, examines the harmonic oscillator within this framework, and derives a mapping of Schrödinger's equation from noncommutative to commutative space.
Contribution
It provides a general representation of noncommutative phase space and introduces a method to translate Schrödinger's equation between noncommutative and commutative frameworks.
Findings
Representation of noncommutative algebra established
Harmonic oscillator analyzed in noncommutative space
Mapping of Schrödinger equation derived
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 Schdinger equation from noncommutative space to commutative space is obtained.
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