par Quesne, Christiane
Référence Modern physics letters A, 18, 7, page (515-525)
Publication Publié, 2003-03
Article révisé par les pairs
Résumé : Fractional supersymmetric quantum mechanics of order λ is realized in terms of the generators of a generalized deformed oscillator algebra and a ℤλ 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 ℤλ-graded uniform topological symmetry of type (1, 1,..., 1) with topological invariants generalizing the Witten index.