Rigorous theory of spectra and radiation for a model in quantum electrodynamics
Rigorous theory of spectra and radiation for a model in quantum electrodynamics
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量子电动力学模型的严格光谱和辐射理论
DOI：
10.1063/1.525922
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发表时间：
1983
影响因子：
1.3
通讯作者：
A. Arai
中科院分区：
文献类型：
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作者：
A. Arai
我们通过使用谐振子原子与量子化电磁场相互作用的精确可溶模型，在非相对论量子电动力学框架中严格研究兰姆位移和光自发发射问题。我们证明，在电磁场的扰动下，与未扰动原子的激发态相对应的所有点光谱都消失了。这意味着原子激发态的“能级位移”（兰姆位移）不能简单地用点光谱的位移来描述。然后，我们对“能级位移”和光自发发射引起的激发态跃迁的形式微扰理论给出了严格的数学意义，表明原子激发态的“能级位移”和“衰变概率”是用原子散射光子的 S 矩阵的共振极来表征的。我们还讨论了对称破缺...
We study rigorously the problem of the lamb shift and the spontaneous emission of light in a framework of nonrelativistic quantum electrodynamics by using an exactly soluble model of a harmonic oscillator atom interacting with a quantized electromagnetic field. We show that, under the perturbation of the electromagnetic field, all the point spectra corresponding to the excited states of the unperturbed atom disappear. This means that the ‘‘energy level shifts’’ (Lamb shifts) of the excited states of the atom cannot be described simply in terms of shifts of point spectra. Then, we give a rigorous mathematical meaning to both formal perturbation theories for the ‘‘energy level shifts’’ and for the transitions of the excited states due to the spontaneous emission of light, showing that the ‘‘energy level shifts’’ and the ‘‘decay probabilities’’ of the excited states of the atom are characterized in terms of the resonance pole of the S‐matrix for the photon scattering by the atom. We also discuss broken symme...