多维氢原子主量子数升降算符的归一化系数  

Normalization coefficients of primary quantum number raising and lowering operators of an Multidimensional hydrogen atom

作　　者：李克轩[1] 

机构地区：[1]中国人民武装警察部队学院基础部,河北廊坊065000

出　　处：《高师理科学刊》2008年第4期43-47,共5页Journal of Science of Teachers＇College and University

摘　　要：提出了一种计算多维氢原子主量子数升降算符的归一化系数的方法.该方法利用算符运算和位力定理,计算得到k维氢原子归一化系数的普适表示式,进一步求得了径向方程的本征值和归一化的本征函数.结果表明,该方法很好地解决了径向方程无量纲变形后,其本征函数非正交的问题,并可直接得到归一化系数的一般表示式,当k=2和k=3时,得到二维与三维氢原子升降算子的归一化系数.An approach for deriving the normalization coefficients of raising and lowering operators about primary quantum number of an k-dimensional hydrogen atom via the virial theorem and operator calculating was presented. By using this way, the general forms of their normalization coefficients were immediately given. But also, the eigenvalues and eigenfunctions are obtained. The results show this way is suitable to solve the question which the eigen vectors of the radial equation is no orthogonal. Also, the normalization coefficients of two-and, three-dimensional hydrogen atoms were obtained when k = 2 or k = 3.

关 键 词：k维氢原子 升降算符 位力定理 归一化系数 本征函数 

分 类 号：O562.2[理学—原子与分子物理]