类群和相干态

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Open Systems & Information Dynamics Pub Date : 2019-07-21 DOI:10.1142/S1230161219500173

F. Cosmo, Alberto Ibort, G. Marmo

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引用次数: 4

摘要

Schwinger的选择性测量代数在类群中有一个自然的解释。本文提出这一方法是为了证明相干态理论在群类群的框架中有一个自然的背景。因此，给出了一个由类群表示确定的具有相关希尔伯特空间的量子力学系统，证明了类群代数中可逆元群的任意不变子集在满足完备性条件的情况下决定了广义相干态族。图中举例说明了谐振子的标准相干态和f振子的广义相干态。

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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Groupoids and Coherent States

Schwinger’s algebra of selective measurements has a natural interpretation in terms of groupoids. This approach is pushed forward in this paper to show that the theory of coherent states has a natural setting in the framework of groupoids. Thus given a quantum mechanical system with associated Hilbert space determined by a representation of a groupoid, it is shown that any invariant subset of the group of invertible elements in the groupoid algebra determines a family of generalized coherent states provided that a completeness condition is satisfied. The standard coherent states for the harmonic oscillator as well as generalized coherent states for f-oscillators are exemplified in this picture.

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来源期刊

Open Systems & Information Dynamics 工程技术-计算机：信息系统

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.