117 citations · 1.9k across the 89 of their papers we have counts for
7 papers · 2 filters
Universal Functionals in Density Functional Theory
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
In this chapter we first review the Levy-Lieb functional, which gives the lowest kinetic and interaction energy that can be reached with all possible quantum states having a given…
The Scott correction in Dirac-Fock theory
Soeren Fournais, Mathieu Lewin, Arnaud Triay
We give the first derivation of the Scott correction in the large- expansion of the energy of an atom in Dirac-Fock theory without projections.
The Hartree and Vlasov equations at positive density
Mathieu Lewin, Julien Sabin
We consider the nonlinear Hartree and Vlasov equations around a translation-invariant (homogeneous) stationary state in infinite volume, for a short range interaction potential. Fo…
The Local Density Approximation in Density Functional Theory
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
We give the first mathematically rigorous justification of the Local Density Approximation in Density Functional Theory. We provide a quantitative estimate on the difference betwee…
Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We review our recent result on the rigorous derivation of the renormalized Gibbs measure from the many-body Gibbs state in 1D and 2D. The many-body renormalization is accomplished…
Differentiability of the van der Waals interaction between two atoms
Ioannis Anapolitanos, Mathieu Lewin, Matthias Roth
In this work we improve upon previous results on the expansion of the interaction energy of two atoms. On the one hand we prove the van der Waals-London's law, assuming that only o…