Constructing coherent states through solutions of Stieltjes and Hausdorff moment problems

被引：125

作者：

Klauder, JR ^{[1
]}

Penson, KA

Sixdeniers, JM

机构：

[1] Univ Florida, Dept Phys, Gainesville, FL 32611 USA

[2] Univ Paris 06, Phys Theor Liquides Lab, CNRS, UMR 7600, F-75252 Paris 05, France

[3] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

PHYSICAL REVIEW A | 2001年 / 64卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.64.013817

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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 Hausdorff moment problem (coherent states on a disk). These solutions are obtained through the method of inverse Mellin transform. In addition, these coherent states induce a deformation of the metric that has been calculated analytically.

引用

页码：138171 / 1381718

页数：18

共 38 条

[1] CHANGES IN POTENTIALS DUE TO CHANGES IN THE POINT SPECTRUM - ANHARMONIC-OSCILLATORS WITH EXACT-SOLUTIONS [J].