117 citations · 1.9k across the 89 of their papers we have counts for
5 papers · 2 filters
Existence of Hartree-Fock excited states for atoms and molecules
Mathieu Lewin
For neutral and positively charged atoms and molecules, we prove the existence of infinitely many Hartree-Fock critical points below the first energy threshold (that is, the lowest…
Semi-classical limit of the Levy-Lieb functional in Density Functional Theory
Mathieu Lewin
In a recent work, Bindini and De Pascale have introduced a regularization of -particle symmetric probabilities which preserves their one-particle marginals. In this short note,…
Statistical Mechanics of the Uniform Electron Gas
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined…
Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We prove that Gibbs measures based on 1D defocusing nonlinear Schr{ö}dinger functionals with sub-harmonic trapping can be obtained as the mean-field/large temperature limit of the…
Domains for Dirac-Coulomb min-max levels
Maria J. Esteban, Mathieu Lewin, Eric Séré
We consider a Dirac operator in three space dimensions, with an electrostatic (i.e. real-valued) potential , having a strong Coulomb-type singularity at the origin. This oper…