101 citations · 105 across the 5 of their papers we have counts for
5 papers
The Thermodynamic Limit of Quantum Coulomb Systems. Part II. Applications
Christian Hainzl, Mathieu Lewin, Jan Philip Solovej
In a previous paper, we have developed a general theory of thermodynamic limits. We apply it here to three different Coulomb quantum systems, for which we prove the convergence of…
The Thermodynamic Limit of Quantum Coulomb Systems. Part I. General Theory
Christian Hainzl, Mathieu Lewin, Jan Philip Solovej
This article is the first in a series dealing with the thermodynamic properties of quantum Coulomb systems. In this first part, we consider a general real-valued function defin…
Properties of the periodic Hartree-Fock minimizer
Marco Ghimenti, Mathieu Lewin
We study the periodic Hartree-Fock model used for the description of electrons in a crystal. The existence of a minimizer was previously shown by Catto, Le Bris and Lions (Ann. Ins…
Stability of the Hartree-Fock model with temperature
Jean Dolbeault, Patricio Felmer, Mathieu Lewin
This paper is devoted to the Hartree-Fock model with temperature in the euclidean space. For large classes of free energy functionals, minimizers are obtained as long as the total…
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…