用Dirac格林函数计算QED效应
Calculations of QED effects with the Dirac Green function
摘要：
现代光谱实验在少电子原子达到精确的水平，在量子电动力学（QED）效应的准确描述是强制性的。在许多情况下，QED效应的理论处理必须在核结合强度参数$Zα$（其中$Z$是核电荷数，$α$是精细结构常数）没有任何扩展的情况下进行。这样的计算涉及在存在束缚核场的情况下对狄拉克方程的整个谱进行多次求和，这可以用狄拉克格林函数来计算。在本文中，我们描述的技术与狄拉克格林函数的QED修正的数值计算，在过去的二十年中，在众多的调查发展。
英文摘要：
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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