原子束缚—自由非相对论跃迁矩阵元

BOUND-FREE NON-RELATIVISTIC TRANSITION MATRIX ELEMENT IN ATOM

本文导出了原子束缚—自由非相对论跃迁矩阵元。对由Slater函数轨道表示的原子束缚态K,此矩阵元可以解析地由两个变量的Appell超几何函数F_2表示出来。这个结果广泛应用于处理散射问题之中。

The bound-free non-relativistic transition matrix element in atom is calculated, the key matrix element for an arbitrary bound state orbital K is anal-ytically expressed in terms of the Appell hypergeometric function F2 of two variables, the results are of use in a wide class of scattering problems.