Combinatorial coherent states via normal ordering of bosons
Quantum Physics
2009-11-10 v1 Combinatorics
Abstract
We construct and analyze a family of coherent states built on sequences of integers originating from the solution of the boson normal ordering problem. These sequences generalize the conventional combinatorial Bell numbers and are shown to be moments of positive functions. Consequently, the resulting coherent states automatically satisfy the resolution of unity condition. In addition they display such non-classical fluctuation properties as super-Poissonian statistics and squeezing.
Cite
@article{arxiv.quant-ph/0311033,
title = {Combinatorial coherent states via normal ordering of bosons},
author = {P. Blasiak and K. A. Penson and A. I. Solomon},
journal= {arXiv preprint arXiv:quant-ph/0311033},
year = {2009}
}
Comments
12 pages, 7 figures. 20 references. To be published in Letters in Mathematical Physics