Large quantum systems: a mathematical and numerical perspective
Mathieu Lewin
Mathematics [math]. Université de Cergy Pontoise, 2009
HDR
tel-00394205v1
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Solution of a mountain pass problem for the isomerization of a molecule with one free atom
Mathieu Lewin
Annales Henri Poincaré , 2006, 7, pp.365-379
Article dans une revue
hal-00096319v1
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Fluctuations around Hartree states in the mean-field regime
Mathieu Lewin
,
Phan Thành Nam
,
Benjamin Schlein
American Journal of Mathematics , 2015, in press
Article dans une revue
hal-00840761v1
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The Dielectric Permittivity of Crystals in the reduced Hartree-Fock approximation
Eric Cancès
,
Mathieu Lewin
Article dans une revue
inria-00367408v1
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Improved Lieb-Oxford exchange-correlation inequality with gradient correction
Mathieu Lewin
,
Elliott H. Lieb
Article dans une revue
hal-01070603v1
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Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics
Christian Hainzl
,
Mathieu Lewin
,
Eric Séré
Article dans une revue
hal-00132407v1
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The multiconfiguration methods in quantum chemistry: Palais-Smale condition and existence of minimizers
Mathieu Lewin
Comptes rendus de l'Académie des sciences. Série I, Mathématique , 2002, 334, pp.299--304
Article dans une revue
hal-00093505v1
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Mean-field limits for quantum systems and nonlinear Gibbs measures
Mathieu Lewin
Dmitry Beliaev; Stanislas Smirnov.
International Congress of Mathematicians , 5, EMS Press, pp.3800-3821, 2023, 978-3-98547-063-1.
⟨10.4171/icm2022/53⟩
Chapitre d'ouvrage
hal-04355259v1
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Grand-Canonical Optimal Transport
Simone Di Marino
,
Mathieu Lewin
,
Luca Nenna
2022
Pré-publication, Document de travail
hal-03536401v1
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Which Nuclear Shape Generates the Strongest Attraction on a Relativistic Electron? An Open Problem in Relativistic Quantum Mechanics
Maria Esteban
,
Mathieu Lewin
,
Éric Séré
Chapitre d'ouvrage
hal-03619203v2
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Théorie spectrale et mécanique quantique
Mathieu Lewin
Ouvrages
hal-03812036v1
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The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases
Mathieu Lewin
,
Phan Thành Nam
,
Nicolas Rougerie
Transactions of the American Mathematical Society , 2016, 368 (9), pp.6131-6157.
⟨10.1090/tran/6537⟩
Article dans une revue
hal-00990051v3
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Two Hartree-Fock models for the vacuum polarization
Philippe Gravejat
,
Christian Hainzl
,
Mathieu Lewin
,
Eric Séré
Days on PDEs 2012 , Jun 2012, Biarritz, France
Communication dans un congrès
hal-00736002v1
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Existence of global-in-time solutions to a generalized Dirac-Fock type evolution equation
Mathieu Lewin
,
Christian Hainzl
,
Christof Sparber
Letters in Mathematical Physics , 2005, 72, pp.99--113
Article dans une revue
hal-00093532v1
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Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms
Philippe Gravejat
,
Mathieu Lewin
,
Eric Séré
Article dans une revue
hal-00200945v1
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Non-perturbative embedding of local defects in crystalline materials
Eric Cancès
,
Amélie Deleurence
,
Mathieu Lewin
Journal of Physics: Condensed Matter , 2008, 20, pp.294213
Article dans une revue
hal-00152223v2
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A Numerical Perspective on Hartree-Fock-Bogoliubov Theory
Mathieu Lewin
,
Séverine Paul
Article dans une revue
hal-00712280v1
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Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation
C. Hainzl
,
Mathieu Lewin
,
Eric Séré
Communications in Mathematical Physics , 2005, 257, pp.515-562
Article dans une revue
hal-00096315v1
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The Thermodynamic Limit of Quantum Coulomb Systems. Part I. General Theory
Christian Hainzl
,
Mathieu Lewin
,
Jan Philip Solovej
Article dans une revue
hal-00334555v1
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The Local Density Approximation in Density Functional Theory
Mathieu Lewin
,
Elliott H. Lieb
,
Robert Seiringer
Article dans une revue
hal-02143071v1
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Orbitally stable states in generalized Hartree-Fock theory
Jean Dolbeault
,
Patricio Felmer
,
Mathieu Lewin
Mathematical Models and Methods in Applied Sciences , 2009, 19 (3), pp.347-367
Article dans une revue
hal-00250383v1
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Generalised Weyl theorems and spectral pollution in the Galerkin method
Lyonell Boulton
,
Nabile Boussaid
,
Mathieu Lewin
Article dans une revue
hal-00536270v2
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Classical Density Functional Theory: The Local Density Approximation
Michal Jex
,
Mathieu Lewin
,
Peter Madsen
2023
Pré-publication, Document de travail
hal-04265172v1
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Derivation of nonlinear Gibbs measures from many-body quantum mechanics
Mathieu Lewin
,
Phan Thành Nam
,
Nicolas Rougerie
Journal de l'École polytechnique — Mathématiques , 2015, 2, pp.65-115.
⟨10.5802/jep.18⟩
Article dans une revue
hal-01070599v3
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Positive-density ground states of the Gross-Pitaevskii equation
Mathieu Lewin
,
Phan Thành Nam
2023
Pré-publication, Document de travail
hal-04230573v1
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Ground state properties of graphene in Hartree-Fock theory
Christian Hainzl
,
Mathieu Lewin
,
Christof Sparber
Article dans une revue
hal-00716470v1
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The Microscopic Origin of the Macroscopic Dielectric Permittivity of Crystals: A Mathematical Viewpoint
Eric Cancès
,
Mathieu Lewin
,
Gabriel Stoltz
Björn Engquist, Olof Runborg and Yen-Hsi R. Tsai.
Numerical Analysis of Multiscale Computations. Proceedings of a Winter Workshop at the Banff International Research Station 2009 , Springer, pp.87--125, 2011, Lecture Notes in Computational Science and Engineering,
⟨10.1007/978-3-642-21943-6⟩
Chapitre d'ouvrage
hal-00527022v1
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On the binding of polarons in a mean-field quantum crystal
Mathieu Lewin
,
Nicolas Rougerie
Article dans une revue
hal-00673045v3
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A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics
C. Hainzl
,
Mathieu Lewin
,
Eric Séré
,
J.P Solovej
2007
Autre publication scientifique
hal-00154152v1
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L'équation de Schrödinger pour les atomes et les molécules
Mathieu Lewin
Gazette des Mathématiciens , 2023, 177, pp.9-24
Article dans une revue
hal-04342502v1
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