Orthogonal polynomials and operator orderings
Combinatorics
2010-06-07 v1 Classical Analysis and ODEs
Abstract
An alternative and combinatorial proof is given for a connection between a system of Hahn polynomials and identities for symmetric elements in the Heisenberg algebra, which was first observed by Bender, Mead, and Pinsky [Phys. Rev. Lett. 56 (1986), J. Math. Phys. 28, 509 (1987)] and proved by Koornwinder [J. Phys. Phys. 30(4), 1989]. In the same vein two results announced by Bender and Dunne [J. Math. Phys. 29 (8), 1988] connecting a special one-parameter class of Hermitian operator orderings and the continuous Hahn polynomials are also proved.
Cite
@article{arxiv.1006.0808,
title = {Orthogonal polynomials and operator orderings},
author = {Adel Hamdi and Jiang Zeng},
journal= {arXiv preprint arXiv:1006.0808},
year = {2010}
}
Comments
6 pages, 1 figure