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Representations of noncommutative quantum mechanics and symmetries | | Larisa Jonke
; Stjepan Meljanac
; | | Date: |
4 Oct 2002 | | Journal: | Eur.Phys.J. C29 (2003) 433-439 | | Subject: | hep-th | | Affiliation: | Rudjer Boskovic Institute | | 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. | | Source: | arXiv, hep-th/0210042 | | Services: | Forum | Review | PDF | Favorites | |
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