准旋-角动量标量算子本征值与j壳层耦合态的完全分类计算

计算物理 ›› 1999, Vol. 16 ›› Issue (6): 624-629.

准旋-角动量标量算子本征值与j壳层耦合态的完全分类计算

李晓梅, 陈健华

装备指挥技术学院, 北京怀柔3380信箱90号, 101416

收稿日期:1998-06-18 修回日期:1999-02-04 出版日期:1999-11-25 发布日期:1999-11-25
作者简介:李晓梅,女,60,教授

Calculations for eigenvalues of quasispin-angular momentun scalar oparator and complete classification of j-shell coupled states

Li Xiaomei, Chen Jianhua

Instituteof Equipments, Command and Technology, POBOX 3380-90, Bejing 101416

Received:1998-06-18 Revised:1999-02-04 Online:1999-11-25 Published:1999-11-25

摘要/Abstract

摘要： 应用二次量子化和不可约张量理论,由4 个产生-湮灭算子耦合成准旋-角动量标量算子Z(K),K为参数。计算表明:Z(K) 的本征值有很强的分类功能,能对j≤15/2 壳层准旋-角动量耦合态完全分类(用准旋和角动量只能对j≤7/2 壳层耦合态完全分类)。讨论Z(K) 的构造和它的本征值的计算方法,给出j≤15/2 壳层耦合态的完全分类。

关键词: 准旋, 角动量, 标量算子, j壳层, 耦合态完全分类

Abstract: By using the formalism ofsecond quantization and irreducible tensor,quasispin angular momentum scalaroperator Z(K),where K=2,…,2j,is constructed from 4 creation-annihilation operators.Theeigenvalues of Z(K) have special ability for classification of coupled states,by angular momentum J and quasispin Q the complete classification can be done only for j≤7/2,but by eigenvalues of Z(K)the complete classification have be donefor j≤15/2.The methods for calculating the eigenvalues of Z(K)are discussed,and the complete classifications for j≤15/2 are presented.

Key words: quasispin, angular momentum, scalar operator, j shell, complete classification ofcoupled states

中图分类号:

O411
O571

李晓梅, 陈健华. 准旋-角动量标量算子本征值与j壳层耦合态的完全分类计算[J]. 计算物理, 1999, 16(6): 624-629.

Li Xiaomei, Chen Jianhua. Calculations for eigenvalues of quasispin-angular momentun scalar oparator and complete classification of j-shell coupled states[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 16(6): 624-629.

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