积分方法处理多体微扰计算中无穷项求和问题  

Integral processing for the sum of infinite series in MBPT calculation

作　　者：曹伟[1] 贺黎明[1] 陈学谦[1] 朱云霞[1] 

机构地区：[1]华东理工大学物理系,上海200237

出　　处：《原子与分子物理学报》2004年第4期691-694,共4页Journal of Atomic and Molecular Physics

基　　金：国家自然基金(10074014)资助项目

摘　　要：在多体微扰计算中,二级以上微扰展开会得到无穷级数。本文将计算得到的有限级数项进行数据拟合,利用所得到的函数形式对余项进行了积分处理。以计算氦原子1snd组态1D-3D能级分裂为例,利用最小二乘法,给出了一种有效的拟合函数形式以及合理的余项处理结果。Within the framework of MBPT, infinite series exist in the expansions of the 2nd and higher orders. In this paper, calculated data from each series of the 2nd and the 3rd expansions are used for fitting, and the residues are substituted by the integral in the yielded form. Taking 1D - 3D splittings of helium 1snd configurations as example, the paper gives an efficient form with the least-squared method.

关 键 词：多体微扰 精细结构 数据拟合 积分处理 

分 类 号：O562[理学—原子与分子物理]