Normalized solutions for the Klein Gordon-Dirac system
Analysis of PDEs
2023-10-12 v1
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.
Keywords
Cite
@article{arxiv.2206.03748,
title = {Normalized solutions for the Klein Gordon-Dirac system},
author = {Vittorio Coti Zelati and Margherita Nolasco},
journal= {arXiv preprint arXiv:2206.03748},
year = {2023}
}