Dirac-Fock模型Mittleman方法的严格证明
A rigorous justification of the Mittleman's approach to the Dirac--Fock model
摘要：
本文研究了Dirac-Fock模型与正负电子Hartree-Fock模型之间的关系。当忽略真空极化、精细结构常数$α$较小而光速$c$较大时，我们证明Dirac-Fock模型是QED的变分近似.作为一个副产品，我们还证明了当$α$是小的或$c$是大的狄拉克-福克理论中的原子和分子的无空壳理论。证明是基于Dirac-Fock模型的一些新的性质。
英文摘要：
In this paper, we study the relationship between the Dirac--Fock model and the electron-positron Hartree--Fock model. We justify the Dirac--Fock model as a variational approximation of QED when the vacuum polarization is neglected and when the fine structure constant $α$ is small and the velocity of light $c$ is large. As a byproduct, we also prove, when $α$ is small or $c$ is large, the no-unfilled shells theory in the Dirac--Fock theory for atoms and molecules. The proof is based on some new properties of the Dirac--Fock model.
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