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

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

References in corpus (3)

• N-fold Supersymmetry for a Periodic Potential
• Topological Symmetries
• Pseudosupersymmetric quantum mechanics: General case, orthosupersymmetries, reducibility, and bosonization

Cited by in corpus (3)

• Minimal bosonization of double-graded supersymmetric quantum mechanics
• Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems I. General Formalism and Second Order
• Pseudosupersymmetric quantum mechanics: General case, orthosupersymmetries, reducibility, and bosonization