氦原子和类氦离子基态能量的变分计算及相对论修正  

Variational calculations and relativistic corrections to the nonrelativistic ground energies of the helium atom and the helium-like ions

作　　者：刘玉孝[1] 赵振华[1] 王永强[1] 陈玉红[2] 

机构地区：[1]兰州大学理论物理研究所,兰州730000 [2]兰州理工大学理学院,兰州730050

出　　处：《物理学报》2005年第6期2620-2624,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10275030)资助的课题.~~

摘　　要：采用一个包含坐标伸缩系数的简单有效的变分波函数,同时考虑到核的运动,利用Mathematica语言开发了一个用变分法计算三体问题的程序,对氦原子和类氦离子(H-,He,Li+,Be++,B3+,C4+,N5+,O6+)的非相对论基态能量和解析波函数进行了变分计算.在此基础上,对非相对论哈密顿量进行相对论和辐射修正,并考虑到有限核电荷半径的影响,得到了氦原子和类氦离子高精度的基态能量值.Mathematica language is used to make a program that can solve the three-body problem with variational method. Considering the nuclear motion, the nonrelativistic ground energies and the analytic wave functions of the helium atom and the helium-like ions ( H-, He, L+ , Be+ +, B3+, C4+, N5+, O6+) are presented by using a simple effective variational wave function with a flexible parameter k. Based on these results, the influence of a finite nucleus charge radius, the relativistic and radiative corrections on the nonrelativistic Hamiltonian are discussed. The high precision values of the helium atom and the helium-like ions ground energies are evaluated.

关 键 词：氦原子 类氦离子 变分法 基态能级 相对论修正 

分 类 号：O562[理学—原子与分子物理] O572.2[理学—物理]