I. Burban

activity

20062011

(q; α, β, γ; ν)

-deformation of one-parametric q-deformed oscillator algebras

13 citations · 15 across the 4 of their papers we have counts for

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math-ph2011

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…

math-ph2008★ 13 cited

Unified $(q; α, β, γ; ν)$ -deformation of one-parametric q-deformed oscillator algebras

I. M. Burban

We define a generalized $(q; α, β, γ; ν)$ -deformed oscillator algebra and study the number of its characteristics. We describe the structure function of deformation, analyze the classi…

math-ph2006★ 2 cited

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…

Generalized deformed oscillators in framework of unified (q;α,β,γ;ν)-deformation and their oscillator algebras

Unified (q;α,β,γ;ν)-deformation of one-parametric q-deformed oscillator algebras

Generalized q-deformed oscillators, q-Hermite polynomials, generalized coherent states

Unified $(q; α, β, γ; ν)$ -deformation of one-parametric q-deformed oscillator algebras