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math-phDec 6, 2003
36
citations (OpenAlex)
authors
  • M. Daoud
  • M. Kibler
institutions
  • Centre National de la Recherche Scientifique
  • Institute of Nuclear Physics of Lyon
  • Institut National de Physique Nucléaire et de Physique des Particules
  • Lyon 1 Université
arXiv abstractPDF
paper

Fractional supersymmetric Quantum Mechanics as a set of replicas of ordinary supersymmetric Quantum Mechanics

arXiv:math-ph/0312019 · doi:10.1016/j.physleta.2003.12.027

Abstract

A connection between fractional supersymmetric quantum mechanics and ordinary supersymmetric quantum mechanics is established in this Letter.

Paper accepted for publication in Physics Letters A

Cited by in corpus (12)

  • Fractional supersymmetry and hierarchy of shape invariant potentials
  • Representations and Properties of Generalized Ar​ Statistics, Coherent States and Robertson Uncertainty Relations
  • SU(2) and SU(1,1) Approaches to Phase Operators and Temporally Stable Phase States: Applications to Mutually Unbiased Bases and Discrete Fourier Transforms
  • Shape invariance and the exactness of quantum Hamilton-Jacobi formalism
  • SU(2) nonstandard bases: the case of mutually unbiased bases
  • Miscellaneous Applications of Quons
  • Generalized fermion algebra
  • Fractional Particle and Sigma Model
  • Representations of Generalized ar​ Statistics and Eigenstates of Jacobson Generators
  • Bases for spin systems and qudits from angular momentum theory
  • Chiral bosons on Bargmann space associated with Ar​ Statistics
  • Representations and Properties of Generalized Ar​ Statistics
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