Normalized solutions for the Klein Gordon-Dirac system

Abstract

We prove the existence of a stationary solution for the system describing the interaction between an electron coupled with a massless scalar field (a photon). We find a solution, with fixed $L^2$-norm, by variational methods, as a critical point of an energy functional.

References in corpus (1)

• Ground state for the relativistic one electron atom

Cited by in corpus (1)

• Normalized solutions for a nonlinear Dirac equation