- 03-214 C. Sparber, P. Markowich
- Semiclassical Asymptotics for the Maxwell - Dirac System
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May 7, 03
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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 $O(\sqrt{\varepsilon })$ is performed, where the small semiclassical parameter $\varepsilon $ denotes the microscopic/macroscopic scale ratio.
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