碱金属中价电子的波函数与能级  

Wave Function and Energy Levels of Valence Electron in Alkali Metal

作　　者：柯善哲[1] 江兴方[2] 肖福康[1] 

机构地区：[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

出　　处：《南京大学学报（自然科学版）》2003年第4期505-509,共5页Journal of Nanjing University（Natural Science）

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。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.

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 

分 类 号：O562.1[理学—原子与分子物理] O413.1[理学—物理]