标量算符本征值对g壳层LSQ耦合态的完全分类计算

计算物理 ›› 2000, Vol. 17 ›› Issue (4): 426-432.

标量算符本征值对g壳层LSQ耦合态的完全分类计算

李晓梅, 陈健华

装备指挥技术学院电子技术系, 北京 101416

收稿日期:1998-12-28 修回日期:1999-07-22 出版日期:2000-07-25 发布日期:2000-07-25
作者简介:李晓梅(1938~),女,安赦黟县,教授,博士生导师,从事计算数学与计算机应用方面的研究,北京怀柔3380信箱90号101416.

CALCULATIONS OF COMPLETE CLASSIFICATION FOR g-SHELL LSQ COUPLED STATES BY EIGENVALUES OF SCALAR OPARATOR

LI Xiao-mei, CHEN Jian-hua

Department of Electron Technology, Institute of Equipment, Command and Technology, Beijing 101416, P R China

Received:1998-12-28 Revised:1999-07-22 Online:2000-07-25 Published:2000-07-25

摘要/Abstract

摘要： 按(U,D)L-LSQ格式构造l壳层LSQ耦合态,这里U(D)是自旋向上(向下)电子的轨道角动量,L、S、Q是总轨道角动量、总自旋和准旋。由4个产生-湮灭算符构造与轨道、自旋、准旋算符均对易的标量算符并用其本征值对LSQ耦合态进一步分类,实现了对f、g壳层耦合态的完全分类,列出了g壳层耦合态完全分类的主要结果。

关键词: 原子物理, 耦合态分类, 壳模型, 二次量子化

Abstract: The LSQ coupled states of l-shell are constructed by (U,D)L-LSQ scheme, where U(D) is the total orbital angular momentum of spin up(down) electrons, the LS and Q are the total orbital angular momentum, spin and quasispin respectively, the (U,D) L-LSQ is unitary transformation. The scalar operators which commute with the total orbital angular momentum, spin and quasispin operators, are constructed from 4 creation-annihilation operators, and the LSQ coupled states are further or complete classified by its eigenvalues. The complete classifications of coupled states for f- and g-shell are obtained, the primary results of complete classifications of coupled states for g-shell are listed.

Key words: atomic physics, classification of coupled states, shell model, second quantization

中图分类号:

李晓梅, 陈健华. 标量算符本征值对g壳层LSQ耦合态的完全分类计算[J]. 计算物理, 2000, 17(4): 426-432.

LI Xiao-mei, CHEN Jian-hua. CALCULATIONS OF COMPLETE CLASSIFICATION FOR g-SHELL LSQ COUPLED STATES BY EIGENVALUES OF SCALAR OPARATOR[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(4): 426-432.

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