A normalized solitary wave solution of the Maxwell-Dirac equations

Margherita Nolasco

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arXiv · 2010.14310

A normalized solitary wave solution of the Maxwell-Dirac equations

Margherita Nolasco

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Abstract

We prove the existence of a $L^2$-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.

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Margherita Nolasco. 2020-10-27. A normalized solitary wave solution of the Maxwell-Dirac equations. https://arxiv.org/abs/2010.14310

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