%0 Journal Article %T Ettore Majorana and the Theoretical Problem of Photon-Electron Scattering %A Marco Di Mauro %A Salvatore Esposito %A Adele Naddeo %J Advances in Historical Studies %P 113-125 %@ 2327-0446 %D 2016 %I Scientific Research Publishing %R 10.4236/ahs.2016.53011 %X 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. %K Ettore Majorana %K Compton Effect %K Photon-Electron Scattering %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=67434