| 四参数法计算氦原子基态能级研究 |
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| 引用本文： | 胡先权,马勇,殷霖,郑瑞伦. 四参数法计算氦原子基态能级研究[J]. 原子与分子物理学报, 2006, 23(6): 1044-1050 |
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| 作者姓名： | 胡先权 马勇 殷霖 郑瑞伦 |
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| 作者单位： | 1. 重庆师范大学物理学与信息技术学院,重庆,400047
2. 西南师范大学物理学院,重庆,400715 |
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| 基金项目： | 国家自然科学基金(10147207)，重庆市科委自然科学基金(2005BB8267)，重庆市教委基础理论研究基金(KJ060813) |
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| 摘 要： | 在求解氦原子径向Schr dinger方程时,设计了含有四参数的基态波函数,推导出含有四参数的氦原子基态能级表达式,分别采用Matlab 7.0最优化运算和Monte-Carlo法,计算了氦原子的基态能量,得到了相应的波函数.将计算结果与其它文献采用变分法所得计算值及实验值进行了比较,结果表明:这种方法不仅计算简便有效,准确性较高,而且所得氦原子基态空间波函数自动满足空间对称性的要求.
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| 关 键 词： | 氦原子 基态能级 变分法 波函数 |
| 文章编号： | 1000-0364（2006）06-1044-07 |
| 收稿时间： | 2005-09-14 |
| 修稿时间： | 2005-09-14 |
Studies on ground energy of the helium atom by Variational calculation included four parameters |
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| HU Xian-quan,MA Yong,Yin Lin,ZHENG Rui-lun. Studies on ground energy of the helium atom by Variational calculation included four parameters[J]. Journal of Atomic and Molecular Physics, 2006, 23(6): 1044-1050 |
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| Authors: | HU Xian-quan MA Yong Yin Lin ZHENG Rui-lun |
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| Affiliation: | 1. College of Physics and Information Technology, Chongqing Normal University, Chongqing 400047,P. R. Chitin; 2 School of Physics,Southwest Normal Univershy,Chongqing 400715, P. R. China |
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| Abstract: | The ground state wave function of four parameters is designed and the ground level expression of the helium atom is derived when solving the radial Schroedinger equation. The ground energy of the helium atom is evaluated by means of the optimized computation of Matlab 7.0 and the Monte-Carlo method respectively. The calculation result of this paper is compared with the value of the experiment and the calculations of other variational methods in reference. It is shown that the method of this paper not only the calculation result get much simplification and precision, but also the radial wave function of the helium atom in ground state meet the need of symmetry automatically. |
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| Keywords: | Helium atom ground energy variational method wave function |
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