We prove the existence of a L2-normalized solitary wave solution for the Maxwell-Dirac equations in (3+1)-Minkowski space. In addition, for the Coulomb-Dirac model, describing fermions with attractive Coulomb interactions in the mean-field limit, we prove the existence of the (positive) energy minimizer.
A normalized solitary wave solution of the Maxwell-Dirac equations
Nolasco M.
2021
Abstract
We prove the existence of a L2-normalized solitary wave solution for the Maxwell-Dirac equations in (3+1)-Minkowski space. In addition, for the Coulomb-Dirac model, describing fermions with attractive Coulomb interactions in the mean-field limit, we prove the existence of the (positive) energy minimizer.File in questo prodotto:
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A-normalized-solitary-wave-solution-o_2021_Annales-de-l-Institut-Henri-Poinc.pdf
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