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Majorana and the theoretical problem of photon-electron scattering

2015/01/27 by M. Di Mauro, Mattia Di Mauro, Salvatore Esposito +6
Materials Science · Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Subatomic Physics Research #Electron and X-Ray Spectroscopy Techniques #FOS: Physical sciences #High Energy Astrophysical Phenomena (astro-ph.HE) #High Energy Physics - Phenomenology (hep-ph) #History and Philosophy of Physics (physics.hist-ph) #Quantum Physics (quant-ph) #Strongly Correlated Electrons (cond-mat.str-el) #astro-ph.HE #cond-mat.str-el #hep-ph #physics.hist-ph #quant-ph

paper · pdf · doi:10.48550/arxiv.1501.06838

latex, amsart, 10 pages, 1 figure

arxiv created 2015/01/27 · openalex publication_date 2015/01/27 · arxiv updated 2015/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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