Coherent States from Combinatorial Sequences
Quantum Physics
2017-08-23 v1 Combinatorics
Abstract
We construct coherent states using sequences of combinatorial numbers such as various binomial and trinomial numbers, and Bell and Catalan numbers. We show that these states satisfy the condition of the resolution of unity in a natural way. In each case the positive weight functions are given as solutions of associated Stieltjes or Hausdorff moment problems, where the moments are the combinatorial numbers.
Keywords
Cite
@article{arxiv.quant-ph/0111151,
title = {Coherent States from Combinatorial Sequences},
author = {Karol A. Penson and Allan I Solomon},
journal= {arXiv preprint arXiv:quant-ph/0111151},
year = {2017}
}
Comments
4 pages, Latex; Conference 'Quantum Theory and Symmetries 2', Krakow, Poland, July 2001