Unified $(p,q;\alpha ,\beta ,\nu ;\gamma )-$deformed oscillator algebra: irreducible representations and induced deformed harmonic oscillator

E. Baloitcha, M. N. Hounkonnou, E. B. Ngompe Nkouankam

A new deformed canonical commutation relation, generalizing various known deformations, is defined together with its structure function of deformation. Then, the related irreducibl…