用Copula方法得到强关联多电子体系的交换-相关穴  

Copula Approach to Exchange-Correlation Hole in Many-Electron Systems with Strong Correlations

作　　者：王景淳 苏禹 程浩洋 王尧 徐瑞雪[1] JingChun Wang;Yu Su;Haoyang Cheng;Yao Wang;Rui-Xue Xu(Department of Chemical Physics,University of Science and Technology of China,Hefei 230026,China;College of Electrical and Information Engineering,Quzhou University,Quzhou 324000,China)

机构地区：[1]中国科学技术大学化学物理系,合肥230026 [2]衢州学院电气与信息工程学院,衢州324000

出　　处：《Chinese Journal of Chemical Physics》2023年第6期685-690,I0056,共7页化学物理学报（英文）

基　　金：supported by the National Natu-ral Science Foundation of China(No.22103073 and No.22173088).

摘　　要：电子关联是多电子体系中的一个基本课题.为了描述这种关联性,人们可以引入交换-相关穴的概念、本文首先简要地回顾了交换-相关穴的定义、它与电子密度和电子对密度的关系,以及它们与概率统计学中的Copula函数之间的紧密联系.然后,提出了一个基于Copula函数的方法,从电子密度中得到交换相关穴.可以预期,所提出的方案将有助于强关联电子结构计算的未来发展.Electronic correlation is a fundamental topic in many-electron systems.To characterize this correlation,one may introduce the concept of exchange-correlation hole.In this work,we first briefly revisit its definition and relation to electron and geminal densities,followed by their intimate relations to copula functions in probability theory and statistics.We then propose a copula-based approach to estimate the exchange-correlation hole from the electron density.It is anticipated that the proposed scheme will become a promising ingredient towards the future development of strongly correlated electronic structure calculations.

关 键 词：COPULA函数 交换-相关穴 对密度 强关联 

分 类 号：O64[理学—物理化学]