用群论方法确定原子体系的波函数  

The Establishment of the Meticulous Wave Function of Atomic System Through the Group Theory Method

作　　者：王晓琴[1] 任维义[1] 张洁[1] 

机构地区：[1]西华师范大学理论物理研究所,四川南充637002

出　　处：《西华师范大学学报（自然科学版）》2009年第2期127-131,137,共6页Journal of China West Normal University(Natural Sciences)

基　　金：国家自然科学基金资助项目(10778719)

摘　　要：从群论的角度以四(价)电子原子体系为例进行讨论,首先求出S4约化系数矩阵以及约化出S4的不可约表示基函数.其次,通过分析群SU2与置换群Sn的同态对应的关系,由置换群Sn的不可约基,得到同样的SU2不可约基,即四(价)电子原子体系的精细波函数.事实表明用此方法求原子体系的精细波函数比直接求SU2的不可约表示基方法更简单.This article takes the four-electron atomic system for example and discusses it from the group theory angle. First, we gain the coefficient matrix and the irreducible representation basic vectors of group S4. Then, we analyze the homomorphism relationship between SU2 and SUn and gain irreducible representation basic vectors of the group SUn＇s which is the meticulous wave function of four-electron atomic system from the group SUn＇s. It shows that it＇s easier to get the meticulous wave function with the method above than directly solve the SU2 ＇s irreducible representation basic vectors.

关 键 词：群论方法 波函数 不可约基 扬图 

分 类 号：O152.8[理学—数学]