Publications (68)
The Dielectric Permittivity of Crystals in the reduced Hartree-Fock approximation
Eric Cancès, Mathieu Lewin
Renormalization and asymptotic expansion of Dirac's polarized vacuum
Philippe Gravejat, Mathieu Lewin, Eric Séré
Energy Cost to Make a Hole in the Fermi Sea
Rupert L. Frank, Mathieu Lewin, Elliott H. Lieb +1
The Hartree equation for infinitely many particles. II. Dispersion and scattering in 2D
Mathieu Lewin, Julien Sabin
Differentiability of the van der Waals interaction between two atoms
Ioannis Anapolitanos, Mathieu Lewin, Matthias Roth
Dynamical Ionization Bounds for Atoms
Enno Lenzmann, Mathieu Lewin
The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases
Mathieu Lewin, Phan Thà nh Nam, Nicolas Rougerie
Variational methods in relativistic quantum mechanics
Maria J. Esteban, Mathieu Lewin, Eric séré
A family of monotone quantum relative entropies
Mathieu Lewin, Julien Sabin
A note on 2D focusing many-boson systems
Mathieu Lewin, Phan Thà nh Nam, Nicolas Rougerie
Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields
Philippe Gravejat, Christian Hainzl, Mathieu Lewin +1
The Microscopic Origin of the Macroscopic Dielectric Permittivity of Crystals: A Mathematical Viewpoint
Eric Cancès, Mathieu Lewin, Gabriel Stoltz
A new approach to the modelling of local defects in crystals: the reduced Hartree-Fock case
Eric Cancès, Amélie Deleurence, Mathieu Lewin
The Thermodynamic Limit of Quantum Coulomb Systems. Part I. General Theory
Christian Hainzl, Mathieu Lewin, Jan Philip Solovej
Bogoliubov spectrum of interacting Bose gases
Mathieu Lewin, Phan Thà nh Nam, Sylvia Serfaty +1
On the binding of polarons in a mean-field quantum crystal
Mathieu Lewin, Nicolas Rougerie
Mean-field limit of Bose systems: rigorous results
Mathieu Lewin
On Singularity formation for the L^2-critical Boson star equation
Enno Lenzmann, Mathieu Lewin
Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms
Philippe Gravejat, Mathieu Lewin, Eric Sere
The Electronic Ground State Energy Problem: a New Reduced Density Matrix Approach
Eric Cances, Gabriel Stoltz, Mathieu Lewin
Bose Gases at Positive Temperature and Non-Linear Gibbs Measures
Mathieu Lewin, Phan Thà nh Nam, Nicolas Rougerie
Fluctuations around Hartree states in the mean-field regime
Mathieu Lewin, Phan Thà nh Nam, Benjamin Schlein
The semi-classical limit of large fermionic systems
Jan Philip Solovej, S{ø}ren Fournais, Mathieu Lewin
The Mean-Field Approximation in Quantum Electrodynamics. The no-photon case
Christian Hainzl, Mathieu Lewin, Jan Philip Solovej
The Crystallization Conjecture: A Review
Xavier Blanc, Mathieu Lewin
A nonlinear variational problem in relativistic quantum mechanics
Mathieu Lewin
Self-consistent solution for the polarized vacuum in a no-photon QED model
Christian Hainzl, Mathieu Lewin, Eric Sere
Mean-field models for disordered crystals
Eric Cancès, Salma Lahbabi, Mathieu Lewin
Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases
Mathieu Lewin, Phan Thà nh Nam, Nicolas Rougerie
Comment on `Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry', by C. Argaez & M. Melgaard
Mathieu Lewin
Stability of the Hartree-Fock model with temperature
Jean Dolbeault, Patricio Felmer, Mathieu Lewin
Semi-classical Dirac vacuum polarisation in a scalar field
Jonas Lampart, Mathieu Lewin
Strongly correlated phases in rapidly rotating Bose gases
Mathieu Lewin, Robert Seiringer
Two Hartree-Fock models for the vacuum polarization
Philippe Gravejat, Christian Hainzl, Mathieu Lewin +1
A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics
Christian Hainzl, Mathieu Lewin, Eric Sere +1
Lower Bound on the Hartree-Fock Energy of the Electron Gas
David Gontier, Christian Hainzl, Mathieu Lewin
Coulomb potentials and Taylor expansions in Time-Dependent Density Functional Theory
Søren Fournais, Jonas Lampart, Mathieu Lewin +1
The Hartree equation for infinitely many particles. I. Well-posedness theory
Mathieu Lewin, Julien Sabin
Properties of the periodic Hartree-Fock minimizer
Marco Ghimenti, Mathieu Lewin
Generalised Weyl theorems and spectral pollution in the Galerkin method
Lyonell Boulton, Nabile Boussaid, Mathieu Lewin
Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation
Christian Hainzl, Mathieu Lewin, Eric Sere
Existence of the thermodynamic limit for disordered quantum Coulomb systems
Xavier Blanc, Mathieu Lewin
Existence of global-in-time solutions to a generalized Dirac-Fock type evolution equation
Christian Hainzl, Mathieu Lewin, Christof Sparber
Semi-classical limit of the Levy-Lieb functional in Density Functional Theory
Mathieu Lewin
On Blowup for time-dependent generalized Hartree-Fock equations
Christian Hainzl, Enno Lenzmann, Mathieu Lewin +1
Renormalization of Dirac's Polarized Vacuum
Mathieu Lewin
The interacting 2D Bose gas and nonlinear Gibbs measures
Mathieu Lewin, Phan Thà nh Nam, Nicolas Rougerie
Blow-up profile of rotating 2D focusing Bose gases
Mathieu Lewin, Phan Thà nh Nam, Nicolas Rougerie
Non-perturbative embedding of local defects in crystalline materials
Eric Cances, Amelie Deleurence, Mathieu Lewin
Derivation of Pekar's Polarons from a Microscopic Model of Quantum Crystals
Mathieu Lewin, Nicolas Rougerie
Existence of Hartree-Fock excited states for atoms and molecules
Mathieu Lewin
Statistical Mechanics of the Uniform Electron Gas
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
A many-body RAGE theorem
Jonas Lampart, Mathieu Lewin
The Thermodynamic Limit of Quantum Coulomb Systems. Part II. Applications
Christian Hainzl, Mathieu Lewin, Jan Philip Solovej
Derivation of nonlinear Gibbs measures from many-body quantum mechanics
Mathieu Lewin, Phan Thà nh Nam, Nicolas Rougerie
A Nonlinear Model for Relativistic Electrons at Positive Temperature
Christian Hainzl, Mathieu Lewin, Robert Seiringer
Improved Lieb-Oxford exchange-correlation inequality with gradient correction
Mathieu Lewin, Elliott H. Lieb
Strichartz inequality for orthonormal functions
Rupert L. Frank, Mathieu Lewin, Elliott H. Lieb +1
Floating Wigner crystal with no boundary charge fluctuations
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
The Thermodynamic Limit of Quantum Coulomb Systems: A New Approach
Christian Hainzl, Mathieu Lewin, Jan Philip Solovej
Derivation of Hartree's theory for generic mean-field Bose systems
Mathieu Lewin, Phan Thà nh Nam, Nicolas Rougerie
Remarks on the quantum de Finetti theorem for bosonic systems
Mathieu Lewin, Phan Thà nh Nam, Nicolas Rougerie
Symmetry Breaking of Relativistic Multiconfiguration Methods in the Nonrelativistic Limit
Maria J. Esteban, Mathieu Lewin, Andreas Savin
Ground state properties of graphene in Hartree-Fock theory
Christian Hainzl, Mathieu Lewin, Christof Sparber
Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation
Mathieu Lewin, Simona Rota Nodari
Spin symmetry breaking in the translation-invariant Hartree-Fock electron gas
David Gontier, Mathieu Lewin
Geometric methods for nonlinear many-body quantum systems
Mathieu Lewin
Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits
Mathieu Lewin, Phan Thà nh Nam, Nicolas Rougerie