159 articles – 2004 Notices  [english version]
 HAL : in2p3-00024395, version 1
 arXiv : gr-qc/0503060
 On three quantization methods for particle on hyperboloid
 (2005)
 We 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 obtain the 'no go theorem' for finding an irreducible representation within the geometric quantization scheme. For consistency we recall our earlier results concerning the other two methods, make some improvements and generalizations.
 Thème(s) : Physique/Relativité Générale et Cosmologie Quantique
 Lien vers le texte intégral : http://fr.arXiv.org/abs/gr-qc/0503060
 in2p3-00024395, version 1 http://hal.in2p3.fr/in2p3-00024395 oai:hal.in2p3.fr:in2p3-00024395 Contributeur : Simone Lantz <> Soumis le : Mercredi 20 Juillet 2005, 17:39:16 Dernière modification le : Vendredi 3 Mars 2006, 10:13:26