48 citations · 88 across the 2 of their papers we have counts for
5 papers
Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms
Philippe Gravejat, Mathieu Lewin, Eric Sere
We study the reduced Bogoliubov-Dirac-Fock (BDF) energy which allows to describe relativistic electrons interacting with the Dirac sea, in an external electrostatic potential. The…
A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics
Christian Hainzl, Mathieu Lewin, Eric Sere +1
We study a mean-field relativistic model which is able to describe both the behavior of finitely many spin-1/2 particles like electrons and of the Dirac sea which is self-consisten…
Self-consistent solution for the polarized vacuum in a no-photon QED model
Christian Hainzl, Mathieu Lewin, Eric Sere
We study the Bogoliubov-Dirac-Fock model introduced by Chaix and Iracane ({\it J. Phys. B.}, 22, 3791--3814, 1989) which is a mean-field theory deduced from no-photon QED. The asso…
Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation
Christian Hainzl, Mathieu Lewin, Eric Sere
According to Dirac's ideas, the vacuum consists of infinitely many virtual electrons which completely fill up the negative part of the spectrum of the free Dirac operator . In…
Some connections between Dirac-Fock and Electron-Positron Hartree-Fock
Jean-Marie Barbaroux, Maria J. Esteban, Eric Séré
We study the ground state solutions of the Dirac-Fock model in the case of weak electronic repulsion, using bifurcation theory. They are solutions of a min-max problem. Then we inv…