Unified View of Deformed Single - Mode Oscillator Algebras

Abstract

A general framework for the deformation of the single-mode oscillators is presented and all deformed single-mode oscillators are unified. The extensions of the Aric-Coon, genon, the para-Bose and the para-Fermi oscillators are proposed. The generalized harmonic oscillator considered by Brzezinski et al. is rederived in a simple way.Some remarks on deformation of $SU(1,1)$ and supersymmetry are made.

12 pages, Latex file, preprint RBI-TH-3/94,PMF-ZTF-3/94, February 1994. (to appear in Phys.Lett. B)

References in corpus (2)

• Explicit Solution to the N-Body Calogero Problem
• The Calogero Model - Anyonic Representation, Fermionic Extension and Supersymmetry

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