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 $O(\sqrt{\epsilon})$ is performed,
where the small semiclassical parameter $\epsilon $ denotes the
microscopic/macroscopic scale ratio.
Publié le : 2003-05-05
Classification:
Mathematical Physics,
Mathematics - Analysis of PDEs,
81Q20, 35B25, 35B40, 35L60
@article{0305009,
author = {Sparber, C. and Markowich, P.},
title = {Semiclassical Asymptotics for the Maxwell - Dirac System},
journal = {arXiv},
volume = {2003},
number = {0},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/0305009}
}
Sparber, C.; Markowich, P. Semiclassical Asymptotics for the Maxwell - Dirac System. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305009/