Fractional supersymmetry and hierarchy of shape invariant potentials

Maurice Robert Kibler, Mohammed Daoud

备注：: 15 pages; version 2: introduction and conclusion enlarged, acknowledgment added, references added; version 3: one reference added
发表信息：: J.Math.Phys.47:122108,2006
DOI：: 10.1063/1.2401711

英文摘要：

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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