Fractional supersymmetric quantum mechanics, topological invariants and generalized deformed oscillator algebras

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dc.creatorQuesne, C.
dc.date2002-11-12
dc.date.accessioned2026-07-07T10:34:28Z
dc.date.available2026-07-07T10:34:28Z
dc.descriptionFractional supersymmetric quantum mechanics of order $λ$ is realized in terms of the generators of a generalized deformed oscillator algebra and a Z$_λ$-grading structure is imposed on the Fock space of the latter. This realization is shown to be fully reducible with the irreducible components providing $λ$ sets of minimally bosonized operators corresponding to both unbroken and broken cases. It also furnishes some examples of Z$_λ$-graded uniform topological symmetry of type (1, 1, ..., 1) with topological invariants generalizing the Witten index.
dc.descriptionLaTeX 2e, amssym, 16 pages, no figure
dc.identifierhttps://arxiv.org/abs/math-ph/0211019
dc.identifierhttp://arxiv.org/abs/math-ph/0211019
dc.identifierMod.Phys.Lett.A18:515-526,2003
dc.identifierdoi:10.1142/S021773230300954X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179483
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subjectQuantum Physics
dc.titleFractional supersymmetric quantum mechanics, topological invariants and generalized deformed oscillator algebras
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