多维Schrödinger代数指数的正常有序解缠

Q2 Mathematics

Communications on Stochastic Analysis Pub Date : 2019-01-01 DOI:10.31390/COSA.12.3.05

L. Accardi, A. Boukas

引用次数: 10

摘要

我们导出了无穷维Schrödinger李代数生成器指数的常序解纠缠或分裂公式。作为一个应用，我们计算了定义为Fock空间算子的自伴有限和的量子随机变量的真空特征函数，满足多维Schrödinger李代数交换关系。

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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Normally Ordered Disentanglement of Multi-Dimensional Schrödinger Algebra Exponentials

We derive a normally ordered disentanglement or splitting formula for exponentials of the infinite-dimensional Schrödinger Lie algebra generators. As an application we compute the vacuum characteristic function of a quantum random variable defined as a self-adjoint finite sum of Fock space operators, satisfying the multi-dimensional Schrödinger Lie algebra commutation relations.

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来源期刊

Communications on Stochastic Analysis Mathematics-Statistics and Probability

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： The journal Communications on Stochastic Analysis (COSA) is published in four issues annually (March, June, September, December). It aims to present original research papers of high quality in stochastic analysis (both theory and applications) and emphasizes the global development of the scientific community. The journal welcomes articles of interdisciplinary nature. Expository articles of current interest will occasionally be published. COSAis indexed in Mathematical Reviews (MathSciNet), Zentralblatt für Mathematik, and SCOPUS