dorsal/arxiv
View SchemaOn the evaluation of the ac-Stark shift and Kramers-Heisenberg dispersion formula
| Authors | R. Radhakrishnan, Ramesh Babu Thayyullathil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508224 |
| URL | https://arxiv.org/abs/quant-ph/0508224 |
Abstract
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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"abstract": "We describe a unified approach for the determination of ac-Stark correction\nand Kramers-Heisenberg dispersion formula. In both cases the contribution from\ninfinite intermediate summation appearing in the expression for the\ncorresponding matrix elements are evaluated exactly in the dipole approximation\nfor the ground state of hydrogen atom using a variation of the Dalgarno-Lewis\nmethod. The analytical expressions obtained can be efficiently used for the\nnumerical evaluation of matrix element for all values of incident photon energy\nand comparison is made with results obtained by different methods.",
"arxiv_id": "quant-ph/0508224",
"authors": [
"R. Radhakrishnan",
"Ramesh Babu Thayyullathil"
],
"categories": [
"quant-ph"
],
"title": "On the evaluation of the ac-Stark shift and Kramers-Heisenberg dispersion formula",
"url": "https://arxiv.org/abs/quant-ph/0508224"
},
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