论文标题

用Dirac Green功能计算QED效应

Calculations of QED effects with the Dirac Green function

论文作者

Yerokhin, Vladimir A., Maiorova, Anna V.

论文摘要

在少数电子原子中进行的现代光谱实验达到了必须准确描述量子电动力学(QED)效应的精度。在许多情况下,必须对QED效应进行理论处理,而不会在核结合强度参数$Zα$中进行任何扩展(其中$ Z $是核电数量,而$α$是精细结构常数)。这种计算涉及在存在结合核场的情况下在dirac方程的整个频谱上进行多次求和,可以根据狄拉克绿色函数进行评估。在本文中,我们描述了QED校正的数值计算技术,该技术在过去的二十年中在许多研究中开发了Dirac Green函数。

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 $Zα$ (where $Z$ is the nuclear charge number and $α$ 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.

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