Representation of noncommutative phase space

2004/09/30 by Kang Li, KANG LI, Jianhua Wang +3 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #hep-th

paper · pdf · doi:10.1142/s0217732305017421

published as Mod.Phys.Lett. A20 (2005) 2165-2174 · Latex file, 10 pages

arxiv created 2005/08/16 · arxiv updated 2009/12/01

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 Schodinger equation from noncommutative space to commutative space is obtained.

Cited by

• Thermal Properties of Gauge-Invariant Graphene in Noncommutative Phase-Space
• The Aharonov–Casher effect for spin-1 particles in non-commutative quantum mechanics
• Magnetic fields in noncommutative quantum mechanics
• The He–McKellar–Wilkens effect for spin one particles in non-commutative quantum mechanics
• Noncommutative Anandan quantum phase
• The Aharonov–Bohm effect in noncommutative quantum mechanics

Related

• An exact representation isotropic and anisotropic noncommutative phase spaces, and their relations
• Harmonic oscillator on noncommutative spaces
• Spectrum of the harmonic oscillator in a general noncommutative phase space
• Wigner Functions for harmonic oscillator in noncommutative phase space
• Non-Hermitian two-dimensional harmonic oscillator in noncommutative phase-space