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碱金属中价电子的波函数与能级
引用本文:柯善哲,江兴方,王福康.碱金属中价电子的波函数与能级[J].南京大学学报(自然科学版),2003,39(4):505-509.
作者姓名:柯善哲  江兴方  王福康
作者单位:[1]南京大学物理系,南京,210093 [2]江苏石油化工学院信息科学系,常州,213016
摘    要:对碱金属原子中的价电子,采用原子实极化模型,势能为V(r)=-e^2/r (-τe/r^2).用幂级数方法严格求解了价电子的定态薛定谔方程,得到了束缚态的能级和波函数,并由不同角量子数低能级的实验值,确定参量τ再计算出高能级的能量与实验结果比较相一致.

关 键 词:碱金属原子  价电子  能级  波函数  严格解  定态薛定谔方程  幂级数方法  原子实极化模型

Wave Function and Energy Levels of Valence Electron in Alkali Metal
Ke Shan-Zhe,Jiang Xing-Fang,Xiao Fu-Kang.Wave Function and Energy Levels of Valence Electron in Alkali Metal[J].Journal of Nanjing University: Nat Sci Ed,2003,39(4):505-509.
Authors:Ke Shan-Zhe  Jiang Xing-Fang  Xiao Fu-Kang
Abstract:In this paper we use the atomic core polarization model of the valence electron in alkali metal whose potential energy is written as V(r) = -e2/r+-re/r2 solve accurately the stationary state equation of the valence electron using the method of the power series. The wave functions of the bound states are gotten as nr , Ylm(o, ), where L. (p) is the polynomial solution of the equation . The energy levels of the bound states are gotten as and are obtained by numerical calculation. The drafts of the energy levels of Li atom are drawn at the same time. On the basis of the lower energy levels in different quantum numbers, the energy values of the other levels are obtained which oonform to the experimental values.
Keywords:alkali metal  valence electron  energy levels  wave function  accurate solution  
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