Detailed view

Article in peer-reviewed journal

Journal of Mathematical Physics 47 (2006) 122108

Available versions:

v1 (2006-09-04)

v2 (2006-09-11)

v3 (2006-11-07)

Attached file list to this document:

PS DKv18.ps(126.3 KB) PDF DKv18.pdf(136.9 KB)

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

Keyword(s) : fractional supersymmetry – supersymmetric quantum mechanics – shape invariance potentials – Weyl-Heisenberg algebra

in2p3-00090893, version 3

http://hal.in2p3.fr/in2p3-00090893

oai:hal.in2p3.fr:in2p3-00090893

From: Maurice Robert Kibler <>

Submitted on: Tuesday, 7 November 2006 15:27:15

Updated on: Tuesday, 2 January 2007 18:13:06