高等学校化学学报

高等学校化学学报 ›› 2002, Vol. 23 ›› Issue (6): 1164.

• 研究论文 • 上一篇    下一篇

SO(4)群链的广义耦合系数和耦合张量算子矩阵元的计算

王美山1,2, 丁世良1,2, 李伯符2, 张刚2   

  1. 1. 山东大学理论化学研究所, 济南 250100;
    2. 吉林大学理论化学计算国家重点实验室, 长春 130023
  • 收稿日期:2001-09-29 出版日期:2002-06-24 发布日期:2002-06-24
  • 通讯作者: 丁世良(1936年出生),教授,博士生导师,从事分子动力学研究.E-mail:shlaudin@sdu.edu.cn E-mail:shlaudin@sdu.edu.cn
  • 基金资助:

    国家自然科学基金(批准号:20173031;29892168);山东省自然科学基金(批准号:Y99B04)资助

Calculating of Generalized Coupling Coefficients and Matrix Element of Tensor Operators of Chains of Subgroup of SO(4)

WANG Mei-Shan1,2, DING Shi-Liang1,2, LI Bo-Fu2, ZHANG Gang2   

  1. 1. Institute of Theoretical Chemistry, Shandong University, Jinan 250100, China;
    2. State Key Laboratory of Theoretical and Computational Chemistry, Jilin University, Chang
  • Received:2001-09-29 Online:2002-06-24 Published:2002-06-24

PDF (PC)

被引次数

9

摘要： 证明了群链(Ⅰ)和(Ⅲ)的广义耦合系数和耦合张量算子矩阵元的一般计算公式,应用该公式计算了Majorana算子矩阵元,从而验证了一般矩阵元公式推导的正确性.

关键词: 耦合系数, 耦合张量算子, 维格纳-爱卡塔定理

Abstract: The generalized coupling coefficients of group chains (Ⅰ) and (Ⅲ) were firstly discussed, and then generalized Wigner-Eckart theorem of coupling tensor operators of group chains (Ⅰ) and (Ⅲ) were investigated. We have gained the general expression of reduced matrix element of coupling tensor operators in the third section. As an example, the matrix element of Majorana operator was calculated in the last section. The results shows it is consistent with the result from the literature.

Key words: Coupling coefficients, Coupling tensor operator, Wigner-Eckart theorem

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