Calculations of QED effects with the Dirac Green function

Abstract

Modern spectroscopic experiments in few-electron atoms reached the level of precision at which an accurate description of quantum electrodynamics (QED) effects is mandatory. In many cases, theoretical treatment of QED effects has to be performed without any expansion in the nuclear binding strength parameter $Z\alpha$ (where $Z$ is the nuclear charge number and $\alpha$ is the fine-structure constant). Such calculations involve multiple summations over the whole spectrum of the Dirac equation in the presence of the binding nuclear field, which can be evaluated in terms of the Dirac Green function. In this paper we describe the technique of numerical calculations of QED corrections with the Dirac Green function, developed in numerous investigations during the last two decades.

References in corpus (5)

• Evaluation of the self-energy correction to the g-factor of S states in H-like ions
• QED calculation of the 2p3/2-2p1/2 transition energy in five-electron ion of argon
• Many-electron QED corrections to the g factor of lithiumlike ions
• Electron self-energy in the presence of magnetic field: hyperfine splitting and g factor
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Cited by in corpus (2)

• Self-energy screening effects in the $g$ factor of Li-like ions
• Two-photon exchange corrections to the $g$ factor of Li-like ions