Two-photon transitions in hydrogenic atoms via a Sturmian basis for the Dirac Coulomb Green's function
Laboratoire de Chimie Physique — Matière et Rayonnement, 11 rue Pierre et Marie Curie, Université Pierre et Marie Curie Paris VI, F-75231 Paris Cedex 05, France
Accepted: 21 January 1997
Using a Sturmian-like expansion of the (first-order) Dirac Coulomb Green's function, the two-photon probability amplitude for the 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.
PACS: 32.80.Wr – Other multiphoton processes / 03.65.Pm – Relativistic wave equations / 31.15.Md – Perturbation theory
© EDP Sciences, 1997