Calculations of QED effects with the Dirac Green function

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...

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Bibliographic Details
Published in:arXiv.org 2020-05
Main Authors: Yerokhin, Vladimir A, Maiorova, Anna V
Format: Article
Language:English
Subjects:
Binding
Dirac equation
Green's functions
Quantum electrodynamics
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2005.05103