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Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics

C. Quesne·N. Vansteenkiste
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Abstract

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 ${\rm Z}_{p+1}$-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.

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C. Quesne, N. Vansteenkiste. 2002-03-19. Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics. https://doi.org/10.1142/s021773230200717x

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