Representations of noncommutative quantum mechanics and symmetries
High Energy Physics - Theory
2011-08-11 v3
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0210042,
title = {Representations of noncommutative quantum mechanics and symmetries},
author = {Larisa Jonke and Stjepan Meljanac},
journal= {arXiv preprint arXiv:hep-th/0210042},
year = {2011}
}
Comments
7 pages, svjour.cls, typos corrected and references added, final version to appear in EPJC