%0 Journal Article
%T Generalized coherent states for q-oscillator connected with q-Hermite polynomials
%A Vadim V. Borzov
%A Eugene V. Damaskinsky
%J Mathematics
%D 2003
%I arXiv
%X For the oscillator-like systems, connected with q-Hermite polynomials, coherent states of Barut-Girardello type are defined. The well-known Arik-Coon oscillator naturally arose in the framework of suggested approach as oscillator, connected with the Rogers q-Hermite polynomials, in the same way as usual oscillator with standard Hermite polynomials. The results about the coherent states for discrete q-Hermite polynomials of II type are quite new.
%U http://arxiv.org/abs/math/0307356v2