Constructing coherent states through solutions of Stieltjes and Hausdorff moment problems - art. no. 013817

Authors
Klauder, JR Penson, KA Sixdeniers, JM
Citation
Jr. Klauder et al., Constructing coherent states through solutions of Stieltjes and Hausdorff moment problems - art. no. 013817, PHYS REV A, 6401(1), 2001, pp. 3817
Citations number
38
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW A
ISSN journal
10502947 → ACNP
Volume
6401
Issue
1
Year of publication
2001
Database
ISI
SICI code
1050-2947(200107)6401:1<3817:CCSTSO>2.0.ZU;2-X
Abstract
We construct a large number of coherent states satisfying the resolution of unity with a positive weight function, obtained through analytic solutions of the Stieltjes moment problem (coherent states on a plane) and the Hausd orff moment problem (coherent states on a disk). These solutions are obtain ed through the method of inverse Mellin transform. In addition, these coher ent states induce a deformation of the metric that has been calculated anal ytically.