二维与三维氢原子的另外四类升降算子及归一化系数

Other four kinds of raising and lowering operators of two-and three-dimensional hydrogen atoms and their normalization coeffieient

对氢原子的径向Schr dinger方程 ,完全用因式分解方法 ,导出关于主量子数 n和角量子数l的另外两类升降算子。用它们构造出第三类、第四类升降算子。

Using the factorization method, Two kinds of raising and lowering operators of three dimensional hydrogen atoms were derived directly and the other two kinds of raising and lowering operators were constructed through them, also other four operators of two dimensional hydrogen atoms were obtained, when l=m-12 . Computing their matrix element, the gereral forms of their normalization coeffient were given.