Generalized Coherent States for Classical Orthogonal Polynomials
Quantum Algebra
2007-05-23 v1 Classical Analysis and ODEs
Abstract
For the oscillator-like systems, connected with the Laguerre, Legendre and Chebyshev polynomials coherent states of Glauber-Barut-Girardello type are defined. The suggested construction can be applied to each system of orthogonal polynomials including classical ones as well as deformed ones.
Cite
@article{arxiv.math/0209181,
title = {Generalized Coherent States for Classical Orthogonal Polynomials},
author = {V. V. Borzov and E. V. Damaskinsky},
journal= {arXiv preprint arXiv:math/0209181},
year = {2007}
}
Comments
LaTeX2e, 8 pages, no figures, submitted to Proc. of conference "Day of Difraction 2002" Sankt-Petersburg, Russia, 2002