13 citations · 15 across the 4 of their papers we have counts for
4 papers
Generalized deformed oscillators in framework of unified (q;α,β,γ;ν)-deformation and their oscillator algebras
I. M. Burban
The aim of this paper is to review our results on description of the multi-parameter deformed oscillators and their oscillator algebras. We define generalized (q;α,β,γ;ν)-deformed…
Unified -deformation of one-parametric q-deformed oscillator algebras
I. M. Burban
We define a generalized -deformed oscillator algebra and study the number of its characteristics. We describe the structure function of deformation, analyze the classi…
On (p, q; α, β, l)-deformed oscillators and their oscillator algebras
I. M. Burban
We present a description of a new kind of the deformed canonical commutation relations, their representations and generated by them Heisenberg-Weyl algebra. This deformed algebra a…
Generalized q-deformed oscillators, q-Hermite polynomials, generalized coherent states
I. M. Burban
The aim of this paper is to study generalized q-analogs of the well-known q-deformed harmonic oscillators and to connect them with q-Hermite polynomials. We give a construction of…