Fractional supersymmetry and hierarchy of shape invariant potentials

DOI10.1063/1.2401711zbMath1112.81041arXivquant-ph/0609017OpenAlexW3101157732MaRDI QIDQ3442118

Maurice R. Kibler, Mohammed Daoud

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0609017

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Supersymmetry and quantum mechanics (81Q60)

Related Items (9)

GENERATING SHAPE INVARIANT POTENTIALS ⋮ The \(\kappa\)-deformed Boson algebra and parafermion algebra ⋮ Extended Weyl-Heisenberg algebra, phase operator, unitary depolarizers and generalized Bell states ⋮ The supersymmetric quantum mechanics theory and Darboux transformation for the Morse oscillator with an approximate rotational term ⋮ \(\kappa\)-deformed photon and Jaynes-Cummings model ⋮ Generalized fermion algebra ⋮ Generalized Grassmann variables for quantum kit (k-level) systems and Barut–Girardello coherent states for su(r + 1) algebras ⋮ Shape invariance and the exactness of the quantum Hamilton-Jacobi formalism ⋮ Bases for spin systems and qudits from angular momentum theory

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