117 citations · 1.9k across the 89 of their papers we have counts for
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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…
Variational methods in relativistic quantum mechanics
Maria J. Esteban, Mathieu Lewin, Eric séré
This review is devoted to the study of stationary solutions of linear and nonlinear equations from relativistic quantum mechanics, involving the Dirac operator. The solutions are f…
Non-perturbative embedding of local defects in crystalline materials
Eric Cances, Amelie Deleurence, Mathieu Lewin
We present a new variational model for computing the electronic first-order density matrix of a crystalline material in presence of a local defect. A natural way to obtain variatio…
A new approach to the modelling of local defects in crystals: the reduced Hartree-Fock case
Eric Cancès, Amélie Deleurence, Mathieu Lewin
This article is concerned with the derivation and the mathematical study of a new mean-field model for the description of interacting electrons in crystals with local defects. We w…