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

C. Szymanowski; V. Véniard; R. Taïeb; A. Maquet

doi:10.1209/epl/i1997-00161-8

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

C. Szymanowski
, V. Véniard
, R. Taïeb
, A. Maquet

Sorbonne Université

Research output: Contribution to journal › Article › peer-review

Abstract

Using a Sturmian-like expansion of the (first-order) Dirac Coulomb Green's function, the two-photon probability amplitude for the |1²S_1/2〉 → |2²S_1/2〉 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.

Original language	English
Pages (from-to)	391-396
Number of pages	6
Journal	EPL
Volume	37
Issue number	6
DOIs	https://doi.org/10.1209/epl/i1997-00161-8
Publication status	Published - 20 Feb 1997

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

abstract = "Using a Sturmian-like expansion of the (first-order) Dirac Coulomb Green's function, the two-photon probability amplitude for the |12S1/2〉 → |22S1/2〉 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.",

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T1 - Two-photon transitions in hydrogenic atoms via a Sturmian basis for the Dirac Coulomb Green's function

AU - Szymanowski, C.

AU - Véniard, V.

AU - Taïeb, R.

AU - Maquet, A.

PY - 1997/2/20

Y1 - 1997/2/20

N2 - Using a Sturmian-like expansion of the (first-order) Dirac Coulomb Green's function, the two-photon probability amplitude for the |12S1/2〉 → |22S1/2〉 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.

AB - Using a Sturmian-like expansion of the (first-order) Dirac Coulomb Green's function, the two-photon probability amplitude for the |12S1/2〉 → |22S1/2〉 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.

U2 - 10.1209/epl/i1997-00161-8

DO - 10.1209/epl/i1997-00161-8

M3 - Article

AN - SCOPUS:3042988217

SN - 0295-5075

VL - 37

SP - 391

EP - 396

JO - EPL

JF - EPL

IS - 6

ER -

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

Abstract

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