C$_λ$-extended Oscillator Algebras: Theory and Applications to (Variants) of Supersymmetric Quantum Mechanics

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dc.creatorQuesne, C.
dc.creatorVansteenkiste, N.
dc.date1999-08-23
dc.date.accessioned2026-07-07T12:03:56Z
dc.date.available2026-07-07T12:03:56Z
dc.descriptionC$_λ$-extended oscillator algebras, where C$_λ$ is the cyclic group of order $λ$, are introduced and realized as generalized deformed oscillator algebras. For $λ=2$, they reduce to the well-known Calogero-Vasiliev algebra. For higher $λ$ values, they are shown to provide in their bosonic Fock space representation some interesting applications to supersymmetric quantum mechanics and some variants thereof: an algebraic realization of supersymmetric quantum mechanics for cyclic shape invariant potentials of period $λ$, a bosonization of parasupersymmetric quantum mechanics of order $p = λ-1$, and, for $λ=3$, a bosonization of pseudosupersymmetric quantum mechanics and orthosupersymmetric quantum mechanics of order two.
dc.descriptionLaTeX, 11 pages, no figures, to appear in Proc. Third Int. Conf. "Symmetry in Nonlinear Mathematical Physics", Kiev (Ukraine), July 12-18, 1999
dc.identifierhttps://arxiv.org/abs/math-ph/9908021
dc.identifierhttp://arxiv.org/abs/math-ph/9908021
dc.identifierEconfC990712:288-297,1999
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207963
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subjectQuantum Physics
dc.titleC$_λ$-extended Oscillator Algebras: Theory and Applications to (Variants) of Supersymmetric Quantum Mechanics
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