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Journal of Mathematical Physics 47 (2006) 122108
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Fractional supersymmetry and hierarchy of shape invariant potentials
Maurice Robert Kibler1, Mohammed Daoud1

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.
1 :  IPNL - Institut de Physique Nucléaire de Lyon
Mathématiques/Physique mathématique

Physique/Physique mathématique

Physique/Physique Quantique
fractional supersymmetry – supersymmetric quantum mechanics – shape invariance potentials – Weyl-Heisenberg algebra
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