Mathematical Analysis of the Photoelectric Effect
Mathematical Analysis of the Photoelectric Effect
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光电效应的数学分析
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
H. Zenk
中科院分区：
文献类型：
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作者：
V. Bach;F. Klopp;H. Zenk
以一个简化的单束缚态原子与量子化电磁场耦合的艾德模型为例，研究了光电效应。对于这个模型，我们表明，爱因斯坦的预测的光电效应是定性和定量正确的耦合参数的领先秩序。更具体地说，考虑由N个光子组成的入射光子云对原子的电离，我们证明了总电离电荷在N个入射光子中是可加的。此外，如果光子云是从一个很大的距离接近原子，被弹出的电子的动能被证明是由光子云中的每个单光子的光子能量和电离能的差。
We study the photoelectric effect on the example of a simplifi ed model of an atom with a single bound state, coupled to the quantized electromagnetic field. For this model, we show that Einstein’s prediction for the ph otoelectric effect is qualitatively and quantitatively correct to leading order in the coupling parameter. More specifically, considering the ionization of the atom by an in cident photon cloud consisting of N photons, we prove that the total ionized charge is additive i n the N involved photons. Furthermore, if the photon cloud is approaching the atom from a large distance, the kinetic energy of the ejected electron is shown to be given by the difference of the photon energy of each single photon in the photon cloud and the ionization energy.