四原子分子中Majorana算子矩阵元的新计算公式

高等学校化学学报 ›› 2002, Vol. 23 ›› Issue (4): 709.

四原子分子中Majorana算子矩阵元的新计算公式

王美山^1,2, 丁世良^1,2, 李伯符², 张刚²

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:2001-10-11 出版日期:2002-04-24 发布日期:2002-04-24
通讯作者: 丁世良(1936年出生),男,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)和山东省自然科学基金(批准号:Y99B04)资助.

New Formulas of Matrix Element of MajoranaOperators of Four-atomic Molecules

WANG Mei-Shan^1,2, DING Shi-Liang^1,2, LI Bo-Fu², ZHANG Gang²

1. Institute of Theoretical Chemistry, Shandong University, Jinan 250100, China;
2. State Key Laboratory of Theoretical and Computational Chemistry, Jilin University, Changchun 130023, China

Received:2001-10-11 Online:2002-04-24 Published:2002-04-24

摘要/Abstract

关键词: 耦合张量算子, Majorana算子, 广义维格纳-爱卡塔定理

Abstract: We first studied the relationship between coupling tensor operators of the product of three ten-sor operators of SO(4) and Majorana operators of four-atomic molecules.We have gained the general for-mulae of the matrix elements of the coupling tensor operators of product of three tensor operators by usingGeneralized Wigner-Eckart theorem.As an example, we calculated the matrix elements of Majorana oper-ators and gave the new simpler formulae of them.

Key words: Coupling tensor operators, Majorana operators, Generalized Wigner-Eckart theorem

中图分类号:

O641

TrendMD:

王美山, 丁世良, 李伯符, 张刚. 四原子分子中Majorana算子矩阵元的新计算公式. 高等学校化学学报, 2002, 23(4): 709.

WANG Mei-Shan, DING Shi-Liang, LI Bo-Fu, ZHANG Gang. New Formulas of Matrix Element of MajoranaOperators of Four-atomic Molecules. Chem. J. Chinese Universities, 2002, 23(4): 709.