关于ac-斯塔克位移和Kramers-Heisenberg色散公式的计算
On the evaluation of the ac-Stark shift and Kramers-Heisenberg dispersion formula
摘要：
本文提出了一种确定ac-斯塔克修正和Kramers-Heisenberg色散公式的统一方法。在这两种情况下，出现在相应的矩阵元的表达式中的无限中间求和的贡献，准确地评估在偶极子近似的氢原子的基态使用的Dalgarno-Lewis方法的变化。所得到的解析表达式可以有效地用于所有入射光子能量值的矩阵元的数值计算，并与不同方法得到的结果进行了比较。
英文摘要：
We describe a unified approach for the determination of ac-Stark correction and Kramers-Heisenberg dispersion formula. In both cases the contribution from infinite intermediate summation appearing in the expression for the corresponding matrix elements are evaluated exactly in the dipole approximation for the ground state of hydrogen atom using a variation of the Dalgarno-Lewis method. The analytical expressions obtained can be efficiently used for the numerical evaluation of matrix element for all values of incident photon energy and comparison is made with results obtained by different methods.
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