Representations of noncommutative quantum mechanics and symmetries

Details Representations of noncommutative quantum mechanics and symmetries Representations of noncommutative quantum mechanics and symmetries

2002-10-04

arxiv.org/abs/hep-th/0210042v3

Eur.Phys.J.C29:433-439,2003

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, svjour.cls, typos corrected and references added, final version to appear in EPJC

Scientific paper

10.1140/epjc/s2003-01205-6

We present a unified approach to representations of quantum mechanics on noncommutative spaces with general constant commutators of phase-space variables. We find two phases and duality relations among them in arbitrary dimensions. Conditions for physical equivalence of different representations of a given system are analysed. Symmetries and classification of phase spaces are discussed. Specially, the dynamical symmetry of a physical system is investigated. Finally, we apply our analyses to the two-dimesional harmonic oscillator and the Landau problem.

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