"Version: 202111"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Exact solutions of the basic equations -- 2.1. Initial hypotheses -- 2.2. Solution of the classical equation of electron motion -- 2.3. Solution of the Klein-Gordon equation -- 2.4. Solution of the Dirac equation3. Modelling ultra-relativistic interactions in electron plasmas -- 3.1. Initial hypotheses…