在最弱受约束电子势模型的理论框架下,通过对最弱受约束电子的识别,将Martin关于单价原子量子亏损公式推广到多价原子(离子)系统,从而计算了Fe ΧⅥ离子的2p6np2P°1/2,3/2(n≥3)和2p6nd2D3/2,5/2(n≥3)系列Rydberg态的能级,理论计算值与实验值符合很好,两者的相对误差不超过3.02×10-5,达到了很高的精度.

Considering the perturbation, the results of theoretical calculation of five Rydberg series energy levels 6s2ns2S1/2(n=7-20),6s2nd2D3/2(n6-20),6s2nd2D5/2(n=6-20),6s2np2P^(0)_(1/2)(n=7-20), and 6s2np2P^(0)_(3/2)(n7-20) for Tl I are presented using the weakest bound electron potential model (WBEPM) theory. Furthermore, the radiative lifetimes of this five series are also calculated. The calculated values of energy levels and lifetimes are in good agreement with the experimental results.

Martin expression about the quantum defect of single-valence atoms is extended to many-valence atoms by identifying the weakest bound electron (WBE) under the weakest bound electron potential model (WBEPM) theory. Six Rydberg series energy levels of 2p6np2Po_(1/2) (n>3), 2p6np2Po_(3/2) (n>3), 2p6nd2D_(3/2) (n>3), 2p6nd2D_(5/2) (n>3), 2p6nf2Fo_(5/2) (n>4), and 2p6nf2Fo_(7/2) (n>4) for Ni XVIII are calculated by this method. The calculated results are in good agreement with the experimental results.

在最弱受约束电子势模型理论框架下,利用Martin公式研究了PbⅠ原子在JJ耦合下的Rydberg系列能级,计算了6pnd1/2[5/2]3(n≥6)和6png1/2[5/2]3(n≥5)两个光谱系列的能级和量子亏损值,结果与实验值符合较好,最大相对误差小于0.032%.表明该方法对jj耦合下的能级计算也是合适的.

利用最弱受约束电子势模型理论,通过对最弱受约束电子的识别,将Martin公式推广到了多电子原子系统.依此研究了B原子的2s2np(n≥30)系列Rydberg能级,理论计算值与实验值吻合较好,二者的相对误差小于6.59×10-5,达到了很高的精度.

在最弱受约束电子势模型理论框架下，通过对最弱受约束电子的识别，将Martin关于单价原子量子亏损的公式推广到了多价原子(离子)系统。本文依此计算了PbⅡ离子的几个Rydberg系列能级。结果与实验值符合较好。

精确地求解了N维最弱受约束电子势模型束缚态的Schrodinger方程 ,得到了其能级和相对应的归一化径向波函数。在此基础上 ,运用广义拉盖尔多项式的级数展开得到了N维最弱受约束电子势模型径向矩阵元的通项表达式