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Title: Fractional supersymmetry and hierarchy of shape invariant potentials

Abstract

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.

Authors:
;  [1]
  1. Institut de Physique Nucleaire de Lyon, IN2P3-CNRS/Universite Claude Bernard Lyon 1, F-69622 Villeurbanne Cedex (France)
Publication Date:
OSTI Identifier:
20861554
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 47; Journal Issue: 12; Other Information: DOI: 10.1063/1.2401711; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; HAMILTONIANS; POTENTIALS; QUANTUM MECHANICS; SUPERSYMMETRY

Citation Formats

Daoud, M., and Kibler, M. R. Fractional supersymmetry and hierarchy of shape invariant potentials. United States: N. p., 2006. Web. doi:10.1063/1.2401711.
Daoud, M., & Kibler, M. R. Fractional supersymmetry and hierarchy of shape invariant potentials. United States. doi:10.1063/1.2401711.
Daoud, M., and Kibler, M. R. Fri . "Fractional supersymmetry and hierarchy of shape invariant potentials". United States. doi:10.1063/1.2401711.
@article{osti_20861554,
title = {Fractional supersymmetry and hierarchy of shape invariant potentials},
author = {Daoud, M. and Kibler, M. R.},
abstractNote = {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.},
doi = {10.1063/1.2401711},
journal = {Journal of Mathematical Physics},
number = 12,
volume = 47,
place = {United States},
year = {Fri Dec 15 00:00:00 EST 2006},
month = {Fri Dec 15 00:00:00 EST 2006}
}