准经典径向偶极子矩阵元的一致解析方法
Consistent analytical approach for the quasiclassical radial dipole matrix elements
摘要：
本文提出了一种计算准经典径向偶极矩阵元在动量表象和坐标表象中的自洽解析方法。非常简单，但相对精确的矩阵元素的表达式推导出在这两种表示。所有的解析表达式都只包含一个特殊的函数--Anger函数及其导数。他们概括和增加一些已知的准经典表达式的准确性。偶极矩阵元的两种形式的表达式之间的微小差异表明，即使对于低原子态，由一致的准经典方法给出的简单表达式也是适用的。
英文摘要：
A consistent analytical approach for calculation of the quasiclassical radial dipole matrix elements in the momentum and coordinate representations is presented. Very simple but relatively precise expressions for the matrix elements are derived in both representations. All analytical expressions contain only one special function -- the Anger function and its derivative. They generalise and increase the accuracy of some known quasiclassical expressions. The small difference between the two forms of the expressions for the dipole matrix elements indicates to the applicability of the simple expressions given by the consistent quasiclassical approach even for low atomic states.
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