| HAL : in2p3-00003103, version 1 |
| arXiv : physics/9911047 |
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| Journal of Mathematical Chemistry 11 (1992) 13-25 |
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| On quantum groups and their potential use in mathematical chemistry |
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| M. Kibler1T. Negadi1 |
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| (1992) |
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| The quantum algebra suq(2) is introduced as a deformation of the ordinary Lie algebra su(2). This is achieved in a simple way by making use of $q$-bosons. In connection with the quantum algebra suq(2), we discuss the q-analogues of the harmonic oscillator and the angular momentum. We also introduce q-analogues of the hydrogen atom by means of a q-deformation of the Pauli equations and of the so-called Kustaanheimo-Stiefel transformation. |
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| 1 : | IPNL - Institut de Physique Nucléaire de Lyon |
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| Thème(s) | : | Physique/Physique/Chimie-Physique Physique/Physique mathématique |
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| Lien vers le texte intégral : |
| in2p3-00003103, version 1 | |
| http://hal.in2p3.fr/in2p3-00003103 | |
| oai:hal.in2p3.fr:in2p3-00003103 | |
| Contributeur : Sylvie Florès | |
| Soumis le : Mercredi 22 Novembre 2006, 14:43:18 | |
| Dernière modification le : Mercredi 22 Novembre 2006, 20:34:58 | |