Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics
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 Zp+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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