| 引用本文: | 陈健华.l壳层状态的QSL分类与耦合波函数的计算.[J].国防科技大学学报,1989,11(2):61-67.[点击复制] |
| Chen Jianhua.The QSL Classification of l-shell and Numerical Calculation of Coupled Wave Function[J].Journal of National University of Defense Technology,1989,11(2):61-67[点击复制] |
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| l壳层状态的QSL分类与耦合波函数的计算 |
| 陈健华 |
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(应用物理系)
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| 摘要: |
| 本文从准旋、自旋、轨道角动量算符的二次量子化形式出发，讨论了l壳层状态的 QSL分类，推导了 QSL分类的递推公式并给出了 P，d，f壳层的分类结果。应用计算单体、二体算符矩阵元的 Slater-Condon 规则和解线代数本征值问题子程序，编制了计算l壳层QSL耦合波函数的计算程序，在 VAX-11/730 机上，对p-壳层和d-壳层共约需半分钟，对f-壳层约需24分钟。 |
| 关键词: 原子物理，波函数，l壳层，递推公式，耦合，耦合状态分类 |
| DOI： |
| 投稿日期：1987-10-05 |
| 基金项目: |
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| The QSL Classification of l-shell and Numerical Calculation of Coupled Wave Function |
| Chen Jianhua |
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(Department of Applied Physics)
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| Abstract: |
| Starting from the second quantization formalism of the Quasispin，Spin and Orbital angular momentum operators，the QSL classification of l-shell states has been discussed，a recursion formula calculating the multiplets of QSL classification is derived from Pauli principle and the classified results of p，d，f-shell is presented. A computation program for calculating the QSL coupled wave function of l-shell has been written with the Slater-Condon rules for computing the matrix elements of Q2，S2,L2 operators，and a linear algebra subroutine for diagonalization. The code takes about 30 seconds for p-shell and d-shell,about 24 minites for f-shell on VAX-11/730. |
| Keywords: atomic physics,wave function,l-shell,recursion formula coupling,classification of coupled state |
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