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| HAL : hal-00109968, version 1 |
| arXiv : quant-ph/0610222 |
| Fiche détaillée |  Récupérer au format |
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| XXVIth Colloquium on Group Theoretical Methods in Physics, New-York : États-Unis (2006) |
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| Fuzzy de Sitter space-times via coherent states quantization |
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| J.-P. Gazeau1J. Mourad1J. Queva1 |
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| (2009) |
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| A construction of the 2d and 4d fuzzy de Sitter hyperboloids is carried out by using a (vector) coherent state quantization. We get a natural discretization of the dS "time" axis based on the spectrum of Casimir operators of the respective maximal compact subgroups SO(2) and SO(4) of the de Sitter groups SO_0(1,2) and SO_0(1,4). The continuous limit at infinite spins is examined. |
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| 1 : | APC - AstroParticule et Cosmologie |
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| APC - THEORIE |
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| Domaine | : | Physique/Physique Quantique Physique/Physique mathématique Mathématiques/Physique mathématique Physique/Relativité Générale et Cosmologie Quantique |
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| Coherent states – quantization – non-commutative geometry – de Sitter space-time – Fuzzy manifolds |
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| hal-00109968, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00109968 | |
| oai:hal.archives-ouvertes.fr:hal-00109968 | |
| Contributeur : Jean-Pierre Gazeau | |
| Soumis le : Jeudi 26 Octobre 2006, 11:16:49 | |
| Dernière modification le : Dimanche 24 Juin 2012, 15:19:40 | |
