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| HAL : in2p3-00090893, version 3 |
| arXiv : quant-ph/0609017 |
| DOI : 10.1063/1.2401711 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Mathematical Physics 47 (2006) 122108 |
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| Versions disponibles : | v1 (04-09-2006) | v2 (11-09-2006) | v3 (07-11-2006) |
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| Fractional supersymmetry and hierarchy of shape invariant potentials |
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| Maurice Robert Kibler1Mohammed Daoud1 |
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| (2006) |
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| Fractional supersymmetric quantum mechanics is developed from a generalized Weyl-Heisenberg algebra. The Hamiltonian and the supercharges of fractional supersymmetric dynamical systems are built in terms of the generators of this algebra. The Hamiltonian gives rise to a hierarchy of isospectral Hamiltonians. Special cases of the algebra lead to dynamical systems for which the isospectral supersymmetric partner Hamiltonians are connected by a (translational or cyclic) shape invariance condition. |
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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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| fractional supersymmetry – supersymmetric quantum mechanics – shape invariance potentials – Weyl-Heisenberg algebra |
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| in2p3-00090893, version 3 | |
| http://hal.in2p3.fr/in2p3-00090893 | |
| oai:hal.in2p3.fr:in2p3-00090893 | |
| Contributeur : Maurice Robert Kibler | |
| Soumis le : Mardi 7 Novembre 2006, 15:27:15 | |
| Dernière modification le : Mardi 2 Janvier 2007, 18:13:06 | |
