Unified View of Deformed Single - Mode Oscillator Algebras

Details Unified View of Deformed Single - Mode Oscillator Algebras Unified View of Deformed Single - Mode Oscillator Algebras

1994-04-07

arxiv.org/abs/hep-th/9404039v1

Phys.Lett.B328:55-59,1994

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(94)90427-8

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.

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