Semiclassical Asymptotics for the Maxwell - Dirac System

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 $O(\sqrt{\epsilon })$ is performed, where the small semiclassical parameter $\epsilon$ denotes the microscopic/macroscopic scale ratio.

References in corpus (3)

• A semiclassical approach to the Dirac equation
• Semiclassical limit of the Dirac equation and spin precession
• On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit

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