| 引用本文: | 陈健华,白铭复.f 壳层耦合态的完全分类与准旋标量算符本征值.[J].国防科技大学学报,1993,15(4):43-49.[点击复制] |
| Chen Jianhua,Bai Mingfu.The Complete Classification of f-shell Coupled States and the Eigenvalues of Quasispin Scalar Operator[J].Journal of National University of Defense Technology,1993,15(4):43-49[点击复制] |
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| f 壳层耦合态的完全分类与准旋标量算符本征值 |
| 陈健华, 白铭复 |
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(应用物理系)
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| 摘要: |
| 本文用二次量子化方法，对l壳层引进准旋、自旋、轨道为（1/2，1/2，l) 阶不可约张量的产生-湮灭算符 bqsm1/2,1/2,l，由 4个这种算符按下式耦合成准旋、自旋、轨道标量算符，
Y（k1,k2,k3)=((bb)k1 k2 k3(bb)k1 k2 k3)000 Y(k1,k2,k3)与准旋、自旋、轨道算符对易，可用于对耦合态进一步分类。利用 Y（k1,k2,k3）与准旋、自旋、轨道算符的适当结合，本文给出了对 f 壳层完全分类的算符(组)，给出了与 G. Racah 对 f 壳层分类一致的算符组。 |
| 关键词: 壳模型，耦合态分类，原子物理，二次量子化 |
| DOI： |
| 投稿日期：1992-05-20 |
| 基金项目: |
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| The Complete Classification of f-shell Coupled States and the Eigenvalues of Quasispin Scalar Operator |
| Chen Jianhua, Bai Mingfu |
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(Department of Applied Physics)
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| Abstract: |
| In the second quantization method we introduce the creation-annihilstion operator bqsm1/2,1/2,l，which is triple tensor of rank(1/2，1/2，1) for Q (quasispin)，S (spin)，L (orbit angular-momentum)，and a triple scalar operatorv (k1,k2,k3) ie constructed by coupling of triple tensor，Y (k1,k2,k3)= ((bb)k1,k2,k3(bb)k1,k2,k3)000, the Y (k1,k2,k3) commutates with Q，S and L，then it can be used to further ciassify the coupled states. By appropriate combining Y(k1,k2,k3) with Q2,S2,L2,the set of operators
which can clessify completely f-shell is obtained，and the set of operators which can classify in agreement with those of Recah is also obtained. |
| Keywords: shell-model,classification of coupled states,atomic physics,second quantization |
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