On the evaluation of the ac-Stark shift and Kramers-Heisenberg dispersion formula

Details On the evaluation of the ac-Stark shift and Kramers-Heisenberg dispersion formula On the evaluation of the ac-Stark shift and Kramers-Heisenberg dispersion formula

2005-08-30

arxiv.org/abs/quant-ph/0508224v2

Physics

Quantum Physics

6 pages, 3 tables

Scientific paper

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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