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Publications de l'IPNL |  |
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Publications de l'IPNL | |
| HAL : in2p3-00175030, version 1 |
| arXiv : 0709.3698 |
| Fiche détaillée |  Récupérer au format |
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| 3-rd Microconference "Analytic and Algebraic Methods III", Prague : Tchèque, République |
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| Miscellaneous Applications of Quons |
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| M.R. Kibler1 |
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| (2007) |
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| This paper deals with quon algebras or deformed oscillator algebras, for which the deformation parameter is a root of unity. We show the interest of such algebras for fractional supersymmetric quantum mechanics, angular momentum theory and quantum information. More precisely, quon algebras are used for (i) a realization of a generalized Weyl-Heisenberg algebra from which it is possible to associate a fractional supersymmetric dynamical system, (ii) a polar decomposition of SU_2 and (iii) a construction of mutually unbiased bases in Hilbert spaces of prime dimension. We also briefly discuss (symmetric informationally complete) positive operator valued measures in the spirit of (iii). |
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| 1 : | IPNL - Institut de Physique Nucléaire de Lyon |
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| Thème(s) | : | Mathématiques/Physique mathématique Physique/Physique mathématique Physique/Physique Quantique |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/0709.3698 |
| in2p3-00175030, version 1 | |
| http://hal.in2p3.fr/in2p3-00175030 | |
| oai:hal.in2p3.fr:in2p3-00175030 | |
| Contributeur : Dominique Girod | |
| Déposé pour le compte de : | |
| Soumis le : Mercredi 26 Septembre 2007, 11:31:44 | |
| Dernière modification le : Mercredi 26 Septembre 2007, 14:42:45 | |
