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Ettore Majorana and the Theoretical Problem of Photon-Electron Scattering

机译：马约拉娜埃特尔（Ettore Majorana）和光子-电子散射的理论问题

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Relevant contributions by Majorana regarding Compton scattering off free or bound electrons are considered in detail, where a (full quantum) generalization of the Kramers-Heisenberg dispersion formula is derived. The role of intermediate electronic states is appropriately pointed out in recovering the standard Klein-Nishina formula (for free electron scattering) by making recourse to a limpid physical scheme alternative to the (then unknown) Feynman diagram approach. For bound electron scattering, a quantitative description of the broadening of the Compton line was obtained for the first time by introducing a finite mean life for the excited state of the electron system. Finally, a generalization aimed to describe Compton scattering assisted by a non-vanishing applied magnetic field is as well considered, revealing its relevance for present day research.
机译：详细考虑了Majorana有关康普顿散射自由电子或束缚电子的相关贡献，得出了Kramers-Heisenberg色散公式的（全量子）推广。通过求助于透明的物理方案替代（当时未知的）费曼图方法，在恢复标准Klein-Nishina公式（用于自由电子散射）中适当指出了中间电子态的作用。对于束缚电子散射，通过引入电子系统激发态的有限平均寿命，首次获得了康普顿谱线展宽的定量描述。最后，还考虑了旨在描述由不消失的施​​加磁场辅助的康普顿散射的概括，揭示了其与当今研究的相关性。

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