Weyl矩和量子高斯态

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Reports on Mathematical Physics Pub Date : 2022-12-01 DOI:10.1016/S0034-4877(22)00081-7

Jorge R. Bolaños-Servín, Roberto Quezada, Josué I. Rios-Cangas

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引用次数: 1

摘要

我们用Yosida关于无界收缩半群产生子的近似给出了关于量子态的无界可观测矩的严格定义。我们用这个概念用场算子的矩来描述高斯态，我们称之为Weyl矩。作为一个副产品，得到了高斯态的均值向量和协方差矩阵的严格公式。

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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Weyl Moments and Quantum Gaussian States

We give a rigorous definition of moments of an unbounded observable with respect to a quantum state in terms of Yosida's approximations of unbounded generators of contractions semigroups. We use this notion to characterize Gaussian states in terms of the moments of the field operator, which we call Weyl moments. As a by-product, rigorous formulae for the mean value vector and the covariance matrix of a Gaussian state are obtained.

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来源期刊

Reports on Mathematical Physics 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.