TRICOMI COHERENT STATES-Reference-Cited by-同舟云学术

TRICOMI COHERENT STATES

Published:2001-12-30 Issue:32 Volume:15 Page:4231-4243
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

SIXDENIERS J.-M.¹,PENSON K. A¹,KLAUDER J. R.²

Affiliation:

1. Université Pierre et Marie Curie, Laboratoire de Physique Théorique des Liquides, Tour 16, 5ième étage, 4, place Jussieu, 75252 Paris Cedex 05, France

2. Departements of Physics and Mathematics, University of Florida, Gainesville, FL 32611, USA

Abstract

We construct explicit families of coherent states whose parametrization permits an arbitrarily small deviation from conventional coherent states. They possess the resolution of unity with a positive weight function given as the solution of a Stieltjes power-moment problem, with moments analytically expressible through Tricomi's confluent hypergeometric function. These states are in general squeezed, can be either sub- or super-Poissonian in nature, and induce a deformation of the metric of the complex plane.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979201007890

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