Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics

Details Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics

2002-03-19

arxiv.org/abs/math-ph/0203036v2

Mod.Phys.Lett. A17 (2002) 839-850

Physics

Mathematical Physics

15 pages, no figure, LaTeX 2e, amssym, one reference completed, final form accepted in MPLA

Scientific paper

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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