On three quantization methods for particle on hyperboloid

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dc.creatorGazeau, Jean-Pierre
dc.creatorLachieze-Rey, Marc
dc.creatorPiechocki, Wlodzimierz
dc.date2005-03-14
dc.date2006-01-03
dc.date.accessioned2026-07-07T06:38:12Z
dc.date.available2026-07-07T06:38:12Z
dc.descriptionWe compare the respective efficiencies of three quantization methods (group theoretical, coherent state and geometric) by quantizing the dynamics of a free massive particle in two-dimensional de Sitter space. For each case we consider the realization of the principal series representation of $SO_0(1,2) $ group and its two-fold covering SU(1,1). We demonstrate that standard technique for finding an irreducible representation within the geometric quantization scheme fails. For consistency we recall our earlier results concerning the other two methods, make some improvements and generalizations.
dc.description22 pages, no figures, revtex
dc.identifierhttps://arxiv.org/abs/gr-qc/0503060
dc.identifierhttp://arxiv.org/abs/gr-qc/0503060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100652
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleOn three quantization methods for particle on hyperboloid
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