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| HAL : in2p3-00005174, version 1 |
| arXiv : quant-ph/9712014 |
| Fiche détaillée |  Récupérer au format |
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| Yadernaya Fizika 61 (1998) 1893-1899 |
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| On a generalized oscillator invariance algebra and interbasis expansions |
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| Ye.M. HakobyanM. Kibler1G.S. PogosyanA.N. Sissakian |
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| (1998) |
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| This article deals with a quantum-mechanical system which generalizes the ordinary isotropic harmonic oscillator system. We give the coefficients connecting the polar and Cartesian bases for D=2 and the coefficients connecting the Cartesian and cylindrical bases as well as the cylindrical and spherical bases for D=3. These interbasis expansion coefficients are found to be analytic continuations to real values of their arguments of the Clebsch-Gordan coefficients for the group SU(2). For D=2, the superintegrable character for the generalized oscillator system is investigated from the points of view of a quadratic invariance algebra. |
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| 1 : | IPNL - Institut de Physique Nucléaire de Lyon |
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| Thème(s) | : | Physique/Physique Quantique Physique/Physique/Agrégats Moléculaires et Atomiques Physique/Physique/Physique Atomique Physique/Physique/Chimie-Physique |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/quant-ph/9712014 |
| in2p3-00005174, version 1 | |
| http://hal.in2p3.fr/in2p3-00005174 | |
| oai:hal.in2p3.fr:in2p3-00005174 | |
| Contributeur : Sylvie Florès | |
| Soumis le : Jeudi 23 Novembre 2006, 10:35:10 | |
| Dernière modification le : Jeudi 23 Novembre 2006, 11:33:01 | |
