117 citations · 1.9k across the 89 of their papers we have counts for
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The Microscopic Origin of the Macroscopic Dielectric Permittivity of Crystals: A Mathematical Viewpoint
Eric Cancès, Mathieu Lewin, Gabriel Stoltz
The purpose of this paper is to provide a mathematical analysis of the Adler-Wiser formula relating the macroscopic relative permittivity tensor to the microscopic structure of the…
Renormalization of Dirac's Polarized Vacuum
Mathieu Lewin
We review recent results on a mean-field model for relativistic electrons in atoms and molecules, which allows to describe at the same time the self-consistent behavior of the pola…
Geometric methods for nonlinear many-body quantum systems
Mathieu Lewin
Geometric techniques have played an important role in the seventies, for the study of the spectrum of many-body Schrödinger operators. In this paper we provide a formalism which al…
Renormalization and asymptotic expansion of Dirac's polarized vacuum
Philippe Gravejat, Mathieu Lewin, Eric Séré
We perform rigorously the charge renormalization of the so-called reduced Bogoliubov-Dirac-Fock (rBDF) model. This nonlinear theory, based on the Dirac operator, describes atoms an…