Two-photon transitions in hydrogenic atoms via a Sturmian basis for the Dirac Coulomb Green's function

Using a Sturmian-like expansion of the (first-order) Dirac Coulomb Green's function, the two-photon probability amplitude for the $\vert 1^2S_{1/2} \rangle \rightarrow \vert 2^2S_{1/2} \rangle$ transition in hydrogenic systems is calculated as a function of nuclear charge Z. A comparison betwee...

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Bibliographic Details
Published in:Europhysics letters 1997-02, Vol.37 (6), p.391-396
Main Authors: Szymanowski, C, Véniard, V, Taïeb, R, Maquet, A
Format: Article
Language:English
Subjects:
03.65.Pm
31.15.Md
32.80.Wr
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Summary:Using a Sturmian-like expansion of the (first-order) Dirac Coulomb Green's function, the two-photon probability amplitude for the $\vert 1^2S_{1/2} \rangle \rightarrow \vert 2^2S_{1/2} \rangle$ transition in hydrogenic systems is calculated as a function of nuclear charge Z. A comparison between relativistic and non-relativistic treatments is made, taking care of the influence of retardation in both cases.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i1997-00161-8