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Semiclassical Asymptotics for the Maxwell - Dirac System

C. Sparber, P. Markowich

math-pharXiv:math-ph/0305009

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(ε) is performed, where the small semiclassical parameter ε denotes the microscopic/macroscopic scale ratio.

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