Relativistic calculation of two-photon bound-bound transition amplitudes in hydrogenic atoms

TitleRelativistic calculation of two-photon bound-bound transition amplitudes in hydrogenic atoms
Publication TypeJournal Article
Year of Publication1997
Szymanowski, C, Veniard, V, Taieb, R, Maquet, A
JournalPHYSICAL REVIEW A
Volume56
Issue1
Pagination700-711
Date PublishedJUL
ISSN1050-2947
Keywordspaper
Abstract

Using a representation of the (first-order) Dirac Coulomb Green function in terms of an expansion over a Sturmian basis, we have computed two-photon probability amplitudes for transitions in hydrogenic atoms from the ground state towards states in the L and M shells. The treatment takes care of the relativistic structure of the atoms according to the Dirac theory and of the fully retarded interaction with the electromagnetic field. We present in detail the Sturmian-like expansion for the Dirac Coulomb Green function and we discuss the relative importance of relativistic and retardation effects occurring for higher nuclear charge Z. Comparison is made also with the nonrelativistic Schrodinger treatment, retardation included or not.

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