Semiclassical asymptotics for the Maxwell–Dirac system
Copyright policy )Semiclassical asymptotics for the Maxwell–Dirac system
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≪1 denotes the microscopic/macroscopic scale ratio.
- University of Vienna Austria
- MEDIZINISCHE UNIVERSITAT GRAZ Austria
- Universität Wien Austria
- University of Vienna Austria
- Universität Wien Austria
1010 Mathematics, Mathematics - Analysis of PDEs, 1010 Mathematik, 81Q20, 35B25, 35B40, 35L60, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Electromagnetic interaction; quantum electrodynamics, Mathematical Physics, Analysis of PDEs (math.AP)
1010 Mathematics, Mathematics - Analysis of PDEs, 1010 Mathematik, 81Q20, 35B25, 35B40, 35L60, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Electromagnetic interaction; quantum electrodynamics, Mathematical Physics, Analysis of PDEs (math.AP)
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