On the completeness of coherent states generated by binomial distribution

Authors
Sixdeniers, JM Penson, KA
Citation
Jm. Sixdeniers et Ka. Penson, On the completeness of coherent states generated by binomial distribution, J PHYS A, 33(14), 2000, pp. 2907-2916
Citations number
29
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
14
Year of publication
2000
Pages
2907 - 2916
Database
ISI
SICI code
0305-4470(20000414)33:14<2907:OTCOCS>2.0.ZU;2-7
Abstract
We demonstrate the completeness of boson- and spin-coherent states generate d by binomial distribution by furnishing the exact analytical form of their respective positive weight functions in resolution of unity. These weight functions are solutions of the associated truncated Stieltjes power-moment problem. We elaborate on the non-unique character of these solutions.