General expressions of the fine structure energy levels for two - electron atom including the spin - spin interaction , the spin - orbit interaction and the spin - other - orbit interaction in the lsjmj scheme are derived 在这些推导中,完成了所有角向积分和自旋求和计算,相应的结果用3j 、 6j 、 9j符号和待定的径向矩阵元来表示。
In the course of these derivation , the orbital integrations and the summations over spin are completed and are presented 3j , 6j , 9j symbols and the radial matrix elements . these derivations are strict and no approximate are introduced . the derivations for the orbit - orbit interaction , the spin - spin interaction and spin - other - orbit interaction , which are fairly complicated , have not been given in the previous literatures 这部分推导工作是严格的,没有引进任何近似,其中轨道-轨道相互作用、自旋-自旋相互作用和自旋-其它轨道相互作用能的理论计算式的推导过程比较复杂,在以前的文献中没有给出这些相互作用能的具体推导过程。
In this thesis , based on racah method of two - electron atom and non - relativistic energy structure for helium - like atoms , the relativistic corrections and the fine structure of helium - like atoms , including the relativistic mass correction , the darwin correction terms , the electron - electron contact terms , the orbit - orbit interaction , the spin - orbit interaction , the spin - other - orbit interaction and the spin - spin interaction , are studied systemically using irreducible tensor . concretely , the main works of this thesis are as follows 本文以双电子原子结构的拉卡理论和类氦离子的非相对论原子结构的计算结果为基础,利用不可约张量理论,较为系统地研究了类氦离子的相对论效应和精细结构,包括相对论质量修正、达尔文修正、电子与电子之间接触相互作用、轨道-轨道相互作用、自旋-自旋相互作用、自旋-其它轨道相互作用以及自旋-轨道相互作用。