Semiclassical Asymptotics for the Maxwell - Dirac System
Mathematical Physics
2015-06-26 v1 Analysis of PDEs
math.MP
Abstract
We study the coupled system of Maxwell and Dirac equations from a semiclassical point of view. A rigorous nonlinear WKB-analysis, locally in time, for solutions of (critical) order is performed, where the small semiclassical parameter denotes the microscopic/macroscopic scale ratio.
Cite
@article{arxiv.math-ph/0305009,
title = {Semiclassical Asymptotics for the Maxwell - Dirac System},
author = {C. Sparber and P. Markowich},
journal= {arXiv preprint arXiv:math-ph/0305009},
year = {2015}
}