A normalized solitary wave solution of the Maxwell-Dirac equations
Analysis of PDEs
2020-10-28 v1 Mathematical Physics
math.MP
Abstract
We prove the existence of a -normalized solitary wave solution for the Maxwell-Dirac equations in (3+1)-Minkowski space. In addition, for the Coulomb-Dirac model, describing fermions with attractive Coulomb interactions in the mean-field limit, we prove the existence of the (positive) energy minimizer.
Cite
@article{arxiv.2010.14310,
title = {A normalized solitary wave solution of the Maxwell-Dirac equations},
author = {Margherita Nolasco},
journal= {arXiv preprint arXiv:2010.14310},
year = {2020}
}