塞曼哈密顿在|3PJMJ〉表象中的矩阵元

J4 ›› 2011, Vol. 46 ›› Issue (1): 56-66.

塞曼哈密顿在|³PJM_J〉表象中的矩阵元

孙云¹,唐绪兵¹,黄时中²

1.安徽工业大学数理学院, 安徽马鞍山 243002;
2.安徽师范大学物理与电子信息学院, 安徽芜湖 241000

收稿日期:2009-11-17 出版日期:2011-12-14 发布日期:2011-03-16
作者简介:孙云(1980-), 女, 讲师,主要从事原子与分子物理和量子物理理论的研究. Email: mysunyun@ahut.edu.cn
基金资助:
国家自然科学基金资助项目(10874147)

The matrix elements of Zeeman Hamiltonian in |³PJM_J〉 scheme

SUN Yun¹, TANG Xu-bing¹, HUANG Shi-zhong²

1. School of Mathematics and Physics, Anhui University of Technology, Maanshan 243002, Anhui, China;
2. School of physics and Electronic information, Anhui Normal University, Wuhu 241000, Anhui, China

Received:2009-11-17 Online:2011-12-14 Published:2011-03-16

摘要/Abstract

摘要：

以多电子原子塞曼哈密顿的球张量形式为基础,借助单体和双体算符在Slater表象中的矩阵元公式,利用不可约张量理论和角动量耦合理论推导出了包含磁场二次项的塞曼哈密顿在|³PJM_J〉表象中矩阵元的一般表达式。以氦原子1s4p组态为例,计算了氦原子43P态的精细结构裂距,并绘出了能级分裂图。

关键词: 塞曼哈密顿;球张量形式;矩阵元

Abstract:

Based on the spherical tensor form of the Zeeman Hamiltonian of multi-electron atom and by using the matrix elements of one-particle and two-particle operators in the Slater scheme, the matrix elements of Zeeman Hamiltonian (including the quadratically field-dependent terms) for |³PJM_J〉 scheme are carried out in virtue of angular momentum coupling theory and irreducible tensor theory. Take 1s4p configuration of helium for example, fine structure splitting on the 43P state of Helium has been calculated and the energy levels are plotted as a function of magnetic field.

Key words: Zeeman Hamiltonian; spherical tensor form; matrix element

孙云1,唐绪兵1,黄时中2. 塞曼哈密顿在|³PJM_J〉表象中的矩阵元[J]. J4, 2011, 46(1): 56-66.

SUN Yun1, TANG Xu-bing1, HUANG Shi-zhong2. The matrix elements of Zeeman Hamiltonian in |³PJM_J〉 scheme[J]. J4, 2011, 46(1): 56-66.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed

塞曼哈密顿在|³PJM_J〉表象中的矩阵元

The matrix elements of Zeeman Hamiltonian in |³PJM_J〉 scheme

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

多维度评价

本文评价

推荐阅读 0