Non-relativistic limit of Klein-Gordon Maxwell
نویسندگان
چکیده
We deal with the derivation of the Schrödinger-Poisson system as a non-relativistic limit (i.e. c→∞ where c is the speed of light) of the Klein-GordonMaxwell or the Dirac-Maxwell system on R. We deal with convergence in the energy space C([0, T ];H). We use and motivate a splitting of the scalar Klein-Gordon field into a sum of two fields, corresponding, in the physical interpretation, to electrons and positrons. The crucial technique is to use the Klainerman-Machedon machinery for the appropriately scaled system which has null form structure for the case of Coulomb gauge.
منابع مشابه
Efficient time integration of the Maxwell-Klein-Gordon equation in the non-relativistic limit regime
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