Ground state for the relativistic one electron atom
Analysis of PDEs
2022-05-24 v1
Abstract
We study the Dirac-Maxwell system coupled with an external potential of Coulomb type. We use the Foldy--Wouthuysen (unitary) transformation of the Dirac operator and its realization as an elliptic problem in the 4-dim half space with Neumann boundary condition. Using this approach we study the existence of a "ground state" solution.
Cite
@article{arxiv.1810.09328,
title = {Ground state for the relativistic one electron atom},
author = {Vittorio Coti Zelati and Margherita Nolasco},
journal= {arXiv preprint arXiv:1810.09328},
year = {2022}
}