Statistical properties of the 𝒜κ<0 Weyl–Heisenberg algebra coherent states

IF 1.5 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
M. Alaoui, E. Mouhaoui, B. Maroufi, M. Daoud
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引用次数: 0

Abstract

In this paper, we study the one-parameter κ-generalized oscillator algebra 𝒜κ (which includes the case of the standard Weyl–Heisenberg algebra). This algebra admits representations of finite-dimensional for negative values of the parameter κ. We construct the associated Perelomov like coherent states. We discuss their statistical properties. In particular, we derive the expressions of the Mandel parameter and Husimi function and we discuss the squeezing of the 𝒜κ coherent states.

韦尔-海森堡代数相干态的𝒜κ<0统计特性
本文研究单参数κ广义振荡器代数𝒜κ(包括标准韦尔-海森堡代数的情况)。对于参数κ的负值,该代数允许有限维的表示。我们构建了相关的佩雷洛莫夫相干态。我们讨论了它们的统计特性。特别是,我们推导了曼德尔参数和胡西米函数的表达式,并讨论了𝒜κ相干态的挤压问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Modern Physics Letters A
Modern Physics Letters A 物理-物理:核物理
CiteScore
3.10
自引率
7.10%
发文量
186
审稿时长
3 months
期刊介绍: This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
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