将多个指数算子的乘积合并为一个指数算子的新方法

IF 1.5 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Modern Physics Letters A Pub Date : 2023-11-22 DOI:10.1142/s0217732323501584

Chun-Zao Zhang, Hong-Yi Fan

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引用次数: 0

摘要

对于服从[公式：见正文]的两个算子[公式：见正文]和[公式：见正文]，我们将证明[公式：见正文]，这意味着我们要把两个指数算子的乘积合并成一个指数算子。这种算子同一性对于计算量子熵[式：见正文]很有用，因为当[式：见正文]为[式：见正文]时，[式：见正文]却是[式：见正文]，因此需要合并算子公式。这样，几个指数算子的乘积也可以合并。我们将采用常有序积内积分（IWOP）的方法来推导合并算子的特性。

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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New method for merging several exponential operators’ product into one exponential operator

For two operators [Formula: see text] and [Formula: see text] which obey [Formula: see text]we shall prove [Formula: see text]which means we want to merge two exponential operators’ product into one exponential operator. This kind of operator identity is useful for calculating the quantum entropy [Formula: see text] since [Formula: see text] when [Formula: see text] but [Formula: see text] thus the merging operator formula is demanded. In this way, several exponential operators’ product can also be merged. We shall employ the method of integration within normally ordered product (IWOP) to derive the merging operator identity.

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来源期刊

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.