类氢离子旋轨耦合及基于微扰理论的能级修正研究  

Spin-orbit Coupling of Hydrogen-like Atoms and Level Correction Based on Perturbation Theory

作　　者：庞福荣 韩海生[1] 张海丰[1] PANG Fu-rong;HAN Hai-sheng;ZHANG Hai-feng(College of Natural Science , Jiamusi University, Jiamusi Heilongjiang 154007, China)

机构地区：[1]佳木斯大学理学院,黑龙江佳木斯154007

出　　处：《佳木斯大学学报（自然科学版）》2020年第2期164-167,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金项目(51141009);佳木斯大学科学技术研究面上项目(Ljz2012-14);黑龙江省省属本科高校基本科研业务费科研项目资助(2018-KYYWF-0956);佳木斯大学大学生创新创业训练计划项目(2019xj25)。

摘　　要：利用中心立场模型给出了类氢离子旋轨耦合的对易子代数关系,L^z和S^z的本征值对应的取值概率及平均值。结果表明算符S^z的取值概率由CG系数和系统所处的状态决定,利用微扰理论得到的类氢离子旋轨耦合能级修正正比于Z4。Using the central position model,the commutator algebra relation of the spin-orbit coupling of hydrogen-like atoms are given.At the same time,the value probability and average value of L^z and S^z corresponding to the eigenvalue of the sum are given.The results show that the probability of S^z operator is determined by the CG coefficient and the state of the system,and the spin-orbit coupling level correction of the hydrogen-like atom obtained by perturbation theory is proportional to Z4.

关 键 词：类氢离子 旋轨耦合 微扰理论 能级修正 

分 类 号：O431[机械工程—光学工程]