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Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics

par Quesne, Christiane ;Vansteenkiste, Nicolas
Référence Modern physics letters A, 17, 14, page (839-849)
Publication Publié, 2002-05

Article révisé par les pairs

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Résumé :

Order-p parasupersymmetric and orthosupersymmetric quantum mechanics are shown to be fully reducible when they are realized in terms of the generators of a generalized deformed oscillator algebra and a ℤ p+1-grading structure is imposed on the Fock space. The irreducible components provide p + 1 sets of bosonized operators corresponding to both unbroken and broken cases. Such a bosonization is minimal.