非相对论QED中的原子光效应
On the Atomic Photoeffect in Non-relativistic QED
摘要：
本文在非相对论QED框架下对单电子原子的光电效应进行了数学分析。我们把光电离看作是一个散射过程，在遥远的过去，一个处于基态的原子被一个或几个光子击中，而在遥远的未来，原子被电离，电子逃逸到空间无限远。我们的主要结果表明，形式含时微扰理论正确地给出了精细结构常数$α$中首阶的电离几率，而且，偶极近似在$α$中只产生次首阶的误差.在这个意义上，偶极近似是严格合理的。
英文摘要：
In this paper we present a mathematical analysis of the photoelectric effect for one-electron atoms in the framework of non-relativistic QED. We treat photo-ionization as a scattering process where in the remote past an atom in its ground state is targeted by one or several photons, while in the distant future the atom is ionized and the electron escapes to spacial infinity. Our main result shows that the ionization probability, to leading order in the fine-structure constant, $α$, is correctly given by formal time-dependent perturbation theory, and, moreover, that the dipole approximation produces an error of only sub-leading order in $α$. In this sense, the dipole approximation is rigorously justified.
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