Generalized Coherent States for q-oscillator connected with discrete q-Hermite polynomials
Quantum Physics
2007-05-23 v1
Abstract
We are continuing here the study of generalized coherent states of Barut-Girardello type for the oscillator-like systems connected with the given set of orthogonal polynomials. In this work we construct the family of coherent states associated with discrete -Hermite polynomials of the II-type and prove the over-completeness of this family of states by constructing the measure for unity decomposition for this family of coherent states.
Keywords
Cite
@article{arxiv.quant-ph/0407252,
title = {Generalized Coherent States for q-oscillator connected with discrete q-Hermite polynomials},
author = {Vadim V. Borzov and Eugene V. Damaskinsky},
journal= {arXiv preprint arXiv:quant-ph/0407252},
year = {2007}
}
Comments
15pages, no figures