Generalized coherent states for the q-oscillator associated with discrete q-Hermite polynomials

被引：1

作者：

Borzov V.V. ^{[1
]}

Damaskinsky E.V. ^{[2
]}

机构：

[1] Bonch-Bruevich State University for Telecommunications, St. Petersburg

[2] University of Military Constructional Engineering, St. Petersburg

来源：

Journal of Mathematical Sciences | 2006年 / 132卷 / 1期

基金：

俄罗斯基础研究基金会;

关键词：

Coherent State; Orthogonal Polynomial; Unity Decomposition; Generalize Coherent; Generalize Coherent State;

D O I：

10.1007/s10958-005-0472-9

中图分类号：

学科分类号：

摘要：

We continue studying generalized coherent states of the Barut-Girardello type for oscillator-like systems related to a given set of orthogonal polynomials. In this paper we construct a family of coherent states associated with discrete q-Hermite polynomials of the II-type and prove the overcompleteness of this family by constructing the measure in the unity decomposition for this family of coherent states. Bibliography: 49 titles. ©2006 Springer Science+Business Media, Inc.

引用

页码：26 / 36

页数：10

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