Abstract
In this paper we study the Arik–Coon oscillator with the main relation aa+ − qa+a = 1, where q > 1, in the framework of the unified (q; α, β, γ; ν)-deformed oscillator algebra. This oscillator is connected with the Askey q−1-Hermite polynomials. We construct a family of the generalized coherent states associated with these polynomials and give their explicit expression in terms of standard special functions. By means of the solution of the appropriate classical moment problem, we prove the over-completeness of this family of coherent states.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Physics A: Mathematical and Theoretical
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
