Majorana and the theoretical problem of photon-electron scattering
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.
Keywords
Cite
@article{arxiv.1501.06838,
title = {Majorana and the theoretical problem of photon-electron scattering},
author = {M. Di Mauro and S. Esposito and A. Naddeo},
journal= {arXiv preprint arXiv:1501.06838},
year = {2015}
}
Comments
latex, amsart, 10 pages, 1 figure