Some Orthogonal Polynomials Arising from Coherent States
Mathematical Physics
2015-06-03 v1 math.MP
Abstract
We explore in this paper some orthogonal polynomials which are naturally associated to certain families of coherent states, often referred to as nonlinear coherent states in the quantum optics literature. Some examples turn out to be known orthogonal polynomials but in many cases we encounter a general class of new orthogonal polynomials for which we establish several qualitative results.
Cite
@article{arxiv.1111.7038,
title = {Some Orthogonal Polynomials Arising from Coherent States},
author = {S. Twareque Ali and Mourad E. H. Ismail},
journal= {arXiv preprint arXiv:1111.7038},
year = {2015}
}
Comments
21 pages