| l壳层状态的QSL分类与耦合波函数的计算 |
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| 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 |
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| 作者姓名： | 陈健华 |
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| 作者单位： | 国防科技大学应用物理系 |
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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。
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| 关 键 词： | 原子物理 波函数 ι壳层 递推公式 耦合 耦合状态分类 |
| 收稿时间： | 1987-10-05 |
The QSL Classification of l-shell and Numerical Calculation of Coupled Wave Function |
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| 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 |
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| Authors: | Chen Jianhua |
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| Affiliation: | Chen Jianhua |
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| Abstract: | Starting from the second quantization formalism of the Quasispin, Spinand Orbital angular momentum operators, the QSL classification of 1-shellstates has been discussed, a recursion formula calculating the multiplets of QSLclassification is derived from Pauli principle and the classified results of p,d,f-shell is presented. A computation program for calculating the QSL coupledwave function of I-shell has been written with the Slater-Condon rules forcomputing the matrix elements of Q~2, S~2, L~2 operators, and a linear algebrasubroutine for diagonalization. The code takes about 30 seconds for p-shelland d-shell, about 24 minites for f-shell on VAX-11/730. |
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| Keywords: | atomic physics wave function l-shell recursion formula coupling classification of coupled state |
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