13 citations · 15 across the 3 of their papers we have counts for
3 papers
math-ph2008★ 13 cited
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…
math.QA2006
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…
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…