Unified View of Deformed Single - Mode Oscillator Algebras
S.Meljanac, M.Milekovic, S.Pallua
TL;DR
This paper presents a unified framework for deformed single-mode oscillators, encompassing various known deformations and extending to new models, simplifying their derivation and highlighting connections to supersymmetry.
Contribution
It introduces a comprehensive framework that unifies different deformed oscillator models and extends existing deformations with new proposals.
Findings
Unified description of various deformed oscillators
Simplified derivation of generalized harmonic oscillator
Insights into deformation of $SU(1,1)$ and supersymmetry
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 and supersymmetry are made.
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