Abstract

The fundamentals of a consistent relativistic approach to determination of radiation and spectral characteristics of the atomic systems (atoms, multicharged ions in plasmas conditions) in a strong external electromagnetic field (EMF), which is based on a relativistic energy formalism (REA) (adiabatic Gell-Mann and Low formalism) and relativistic many-body perturbation theory (RMBPT) formalism for atomic systems in a plasmas are presented. Within an energy approach in relativistic approximation the Gell-Mann and Low formula expresses the imaginary part of an atomic level energy shift E through the QED scattering matrix, which includes an interaction as with an EMF as with the photon vacuum field (spontaneous radiative decay). It results in possibility of an uniform simultaneous consideration of spontaneous and (or) induced, radiative processes and their interference. The radiation atomic lines position and shape fully determine a spectroscopy of the plasmas atomic systems in an EMF. The effective modified technique, based on the Ivanova-Ivanov method of differential equations, for computing the infinite sums in expressions for a spectral line shifts and broadening is shortly described. The fundamentals of a formalism of the relativistic gauge-invariant RMBPT with the optimized Dirac-Kohn-Sham (DKS) and Debye-Hückel zeroth approximations are presented.

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