Normalized solutions for the Klein–Gordon–Dirac system

  • Vittorio Coti Zelati

    Università di Napoli “Federico II”, Italy
  • Margherita Nolasco

    Università dell’Aquila, Italy
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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 -norm, by variational methods, as a critical point of an energy functional.

Cite this article

Vittorio Coti Zelati, Margherita Nolasco, Normalized solutions for the Klein–Gordon–Dirac system. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 (2023), no. 1, pp. 101–126

DOI 10.4171/RLM/999