Generalized coherent states for q-oscillator connected with q-Hermite polynomials
Quantum Algebra
2007-05-23 v2 Classical Analysis and ODEs
Abstract
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.
Cite
@article{arxiv.math/0307356,
title = {Generalized coherent states for q-oscillator connected with q-Hermite polynomials},
author = {Vadim V. Borzov and Eugene V. Damaskinsky},
journal= {arXiv preprint arXiv:math/0307356},
year = {2007}
}
Comments
Latex2e, 10 pages, Submited to the Proceedings of the international seminar "DAY on DIFFRACTION'2003" v2 Some misprints are corrected