Resonances of the Confined Hydrogen Atom and the Lamb–Dicke Effect in Non-Relativistic QED
Resonances of the Confined Hydrogen Atom and the Lamb–Dicke Effect in Non-Relativistic QED
复制标题
非相对论性 QED 中受限氢原子的共振和兰姆-迪克效应
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
J. Faupin
中科院分区：
文献类型：
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作者：
J. Faupin
摘要：我们研究了一个描述一个由一个动力学核和一个电子组成的系统的模型，这个系统受它们的质心限制，并与量子化的电磁场相互作用。我们强加了一个紫外线截止，并假设精细结构常数足够小。利用重整化群方法(基于[3，4])，我们证明了当原子核和电子与辐射场耦合时，未受扰动的本征值变成了共振。这种分析与兰姆-迪克效应有关。
Abstract.We study a model describing a system of one dynamical nucleus and one electron confined by their center of mass and interacting with the quantized electromagnetic field. We impose an ultraviolet cutoff and assume that the fine-structure constant is sufficiently small. Using a renormalization group method (based on [3, 4]), we prove that the unperturbed eigenvalues turn into resonances when the nucleus and the electron are coupled to the radiation field. This analysis is related to the Lamb–Dicke effect.