| 引用本文: | 陈健华,李承祖.氦原子1S, 3S, 1P, 3P态的电子关联计算.[J].国防科技大学学报,1989,11(2):46-54.[点击复制] |
| Chen Jianhua,Li Chengzu.Electron Correlation Calculation for the 1S, 3S, 1P, 3P States of Helium Atom[J].Journal of National University of Defense Technology,1989,11(2):46-54[点击复制] |
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| 氦原子1S, 3S, 1P, 3P态的电子关联计算 |
| 陈健华, 李承祖 |
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(应用物理系)
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| 摘要: |
| 本文从二次量子化公式出发，选取广义Laguerre多项式乘以rlcxp(-alr)作为单电子径向函数完全集，这里al是依赖于轨道角动量l的变分参数，用组态相互作用方法计算了氦原子1S, 3S, 1P, 3P 态的能量和波函数。当组态限于主量子数 n≤4，计算的能量相对精度约为99.9%；当组态限于n≤6，能量相对精度约为99.99%；而Hartree-Fock方法的能量相对精度约为99%。利用原子波函数计算了一些原子参数，其结果与其他作者的结果符合很好。 |
| 关键词: 原子物理，量子力量，氦原子，电子关联，原子参数 |
| DOI： |
| 投稿日期：1987-10-05 |
| 基金项目: |
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| Electron Correlation Calculation for the 1S, 3S, 1P, 3P States of Helium Atom |
| Chen Jianhua, Li Chengzu |
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(Department of Applied Physics)
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| Abstract: |
| Starting from the formalism of second quantization，choosing generalized Laguerre polynomials multiplied by rlexp(-alr) as the complete set of the single electron radial function，where al is a variation parameter depending on the orbital angular momentum l，the energy and wave function for 1S, 3S, 1P, 3P states of the Helium atom have been calculated with the method of configuration interaction. The relative precision of the energy calculated is about 99.9% when the total quantum number n is limited by n≤4，and is about 99.99% when n≤6，By contrast， the relative precision of energy by Hartree-Fock model for ground state is about 99%. Using the atomic wave function obtained above，
some atomic parameters are calculated，and the results are in good agreement with those of other authors. |
| Keywords: quantum mechanics,atomic physics,Helium atoms atomic parameter,electron correlation |
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