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| PAGE PERSONNELLE
DE MATHIEU LEWIN |
 Coordonnées
(Retour)
Email : Mathieu.Lewin"@"math.cnrs.fr
Bureau : 5.09
Téléphone
: (+33) 1 34 25 66 15
Fax
: (+33)
1 34
25 66 45 |
Département de
Mathématiques
Université
de Cergy-Pontoise / Saint-Martin
2,
avenue Adolphe Chauvin
95
302 CERGY-PONTOISE Cedex
FRANCE |
Thèmes
de Recherche (Research
Interests) (Retour)
- analyse non
linéaire, équations aux
dérivées partielles, théorie
des
points critiques ;
- physique mathématique, mécanique quantique
relativiste et non
relativiste, systèmes quantiques à grand nombre
de particules, électrodynamique
quantique ;
- calcul
scientifique, simulation moléculaire.
 -
nonlinear
analysis, partial differential equations, critical
point
theory;
- mathematical physics, relativistic
and non
relativistic quantum mechanics, large quantum
systems, quantum electrodynamics;
- numerical analysis, molecular
simulations.
Publications (Retour)
Refereed publications on MathSciNet
 Research Articles
[28] -
P.
Gravejat, M. L. & E. Séré. Renormalization and asymptotic expansion of Dirac's polarized vacuum.
Preprint arXiv. PDF
[27]
- C. Hainzl, E. Lenzmann,
M. L. & B. Schlein.
On blowup for time-dependent generalized Hartree-Fock equations.
Preprint arXiv. PDF
[26]
- M. J.
Esteban, M. L. & A. Savin. Symmetry Breaking of Relativistic Multiconfiguration Methods in the Nonrelativistic Limit.
Nonlinearity, 23 (2010), no. 4, 767-791. PDF
[25]
- E.
Cancès &
M. L. The dielectric permittivity of crystals in the reduced
Hartree-Fock approximation.
Arch.
Rational Mech. Anal, 197 (2010), no 1, 139-177. PDF
[24] - E. Séré &
M.L. Spectral pollution and how to avoid it (with applications to Dirac
and periodic Schrödinger operators).
Proc. London Math. Soc., in press. PDF
[23]
- E. Lenzmann
& M.L. Minimizers for the Hartree-Fock-Bogoliubov Theory of Neutron
Stars and White dwarfs.
Duke Math. Journal 152 (2010), no. 2, 257-315. PDF
[22]
- M. L. & R.
Seiringer. Strongly correlated phases in rapidly rotating Bose
gases.
J. Stat.
Phys, 137 (2009), no. 5-6, 1040-1062. PDF
[21] - C. Hainzl,
M. L. & J.P. Solovej. The Thermodynamic Limit of
Quantum Coulomb Systems. Part II. Applications.
Advances in Math. 221 (2009), 488-546. PDF
[20] - C. Hainzl,
M. L. & J.P. Solovej. The Thermodynamic Limit of
Quantum Coulomb Systems. Part I. General Theory.
Advances in Math. 221
(2009), 454-487. PDF
[19] - J.
Dolbeault, P. Felmer
& M. L. Stability of the Hartree-Fock model with temperature.
Math.
Model Meth. Appl. Sci. 19 (2009), no.3, 347-367. PDF
[18] - P.
Gravejat, M. L. & E. Séré.
Ground State and Charge
Renormalization in a Nonlinear Model of Relativistic Atoms.
Commun. Math. Phys. 286
(2009), no. 1, 179-215. PDF
[17] - M. Ghimenti
& M. L. Properties of periodic Hartree-Fock minimizers.
Calc. Var. Partial
Differential Equations, 35
(2009), no. 1, 39-56. PDF
[16]
- C. Hainzl, M. L. & E. Séré. Existence
of Atoms and Molecules in the Mean-Field Approximation of No-Photon
Quantum Electrodynamics.
Arch.
Rational Mech. Anal, 192
(2009), no. 3, 453-499. PDF
[15] - C. Hainzl,
M. L. & R.
Seiringer. A Nonlinear Model for Relativistic Electrons At Positive
Temperature.
Rev. Math. Phys.
20 (2008),
no. 10, 1283-1307. PDF
[14]
- E.
Cancès, A.
Deleurence &
M. L. Non-perturbative embedding of local defects in crystalline
materials.
J. Phys.: Condens. Matter. 20
(2008), 294213. PDF
[13]
- E.
Cancès, A.
Deleurence &
M. L. A new approach to the modelling of local defects in crystals: the
reduced Hartree-Fock case.
Commun. Math. Phys. 281 (2008), 129–177. PDF
[12]
- M. J.
Esteban, M.
L. & E. Séré. Variational methods
in relativistic quantum mechanics.
Bull. Amer. Math.
Soc. (N.S.) 45 (2008),
no. 4, 535–593. PDF
[11]
- C. Hainzl, M. L., E. Séré & J.P. Solovej.
A Minimization Method for Relativistic Electrons in a
Mean-Field Approximation of Quantum Electrodynamics.
Phys. Rev. A 76 (2007),
052104. PDF
[10]
- C. Hainzl, M. L. & J.P. Solovej. The mean-field approximation
in Quantum Electrodynamics. The no-photon case.
Comm. Pure Appl. Math. 60
(2007), no. 4, 546-596. PDF
[9]
- E.
Cancès,
M.L. & G. Stoltz. The
Electronic Ground
State
Energy Problem: a New Reduced Density Matrix
Approach.
J. Chem. Phys. 125 (2006), 064101-064106. PDF
[8]
- M. L. Solution of a mountain pass problem for the isomerization
of a molecule with one free atom.
Ann.
Henri Poincaré 7
(2006), 365-379. PDF
[7]
- E.
Cancès, H.
Galicher & M. L. Computing
electronic structures : a new multiconfiguration approach for
excited states.
J.
Comput. Phys. 212
(2006), 73-98. PDF
[6]
- C. Hainzl, M. L. & C.
Sparber. Existence
of global-in-time solutions to a generalized Dirac-Fock type
evolution equation.
Lett. Math.
Phys. 72 (2005), no 2,
99-113. PDF
[5]
- C. Hainzl, M. L. & E. Séré. Self-consistent
solution for the polarized vacuum in a no-photon QED model.
J.
Phys. A: Math & Gen. 38
(2005), no 20,
4483-4499. PDF
[4]
- C. Hainzl, M. L. & E. Séré.
Existence
of a
stable polarized vacuum in the Bogoliubov-Dirac-Fock
approximation.
Commun. Math. Phys. 257 (2005), 515-562
. PDF
[3]
- M. L. A Mountain Pass
for Reacting Molecules.
Ann. Henri Poincaré 5
(2004), no 3, 477-521. PDF
[2]
- M. L.
Solutions of the Multiconfiguration Equations in Quantum Chemistry.
Arch.
Rational Mech. Anal. 171
(2004), no 1, 83-114. PDF
[1]
- M. L. The multiconfiguration methods in quantum chemistry:
Palais-Smale condition and existence of minimizers.
C. R.
Acad.
Sci. Paris, Ser. I 334
(2002), no 4, 299--304.
Proceedings
[e]
- C. Hainzl, M.L. & J.P. Solovej. The Thermodynamic Limit of Quantum
Coulomb Systems: A New Approach.
Mathematical results in Quantum Mechanics: Proceedings of the QMath10
Conference, World Scientific, Eds: I. Beltita, G. Nenciu &
R. Purice, 2008. PDF
[d] -
M.L. The Thermodynamic Limit of Quantum Coulomb Systems.
Workshop ``Multiscale
and Variational Methods in Material Science and Quantum Theory of
Solids".
Oberwolfach
Reports, 4 (2007), no. 1, 399-400.
[c] -
M.L. On the Computation of Excited States with MCSCF
Methods.
Workshop ``Mathematical and Numerical Aspects of Quantum Chemistry
Problems".
Oberwolfach
Reports, 3 (2006), no. 4, 2833-2836.
[b]
-
M.L. On the Computation of Excited States with MCSCF
Methods.
Conference "Mathematical Methods for Ab Initio
Quantum
Chemistry", Nice (FRANCE), Nov. 2005.
J. Math. Chem., 44
(2008), no. 4, 967-980. PDF
[a]
- M. L. Solutions of the
Multiconfiguration Equations in Quantum Chemistry.
Workshop ``Calculus of variations" June, 2004.
Oberwolfach
Reports, 1 (2005), no. 3, 1541-1586.
Other
M.
L. Quelques
modèles non linéaires en mécanique
quantique
(Some nonlinear models in quantum mechanics)
PhD Thesis,
Université Paris Dauphine, 21 Juin 2004.
M. L. Systèmes quantiques à grand nombre de particules : une
perspective mathématique et numérique
(Large quantum systems: a mathematical and numerical perspective)
Habilitation à Diriger des Recherches,
Université de Cergy-Pontoise, 9 Juin 2009. PDF
Projects
/ Collaborations (Retour)
Member of the project MathAmSud "Nonlinear Analysis and Partial Differential
Equations".
Former member of the project ANR
ACCQUAREL (Approches Computationnelles
en Chimie QUAntique RELativiste).
Former member of the team Simulation
Moléculaire et Multi-échelles (Molecular and
Multiscale Modelling) - CERMICS /
INRIA.
Former member of
the european network Analysis
and Quantum.
Former member of
the program ECOS/CONYCIT (Chile) Partial
Differential Equations of Mathematical Physics
Enseignement
(Retour)
2009/2010: Cours de l'école doctorale, Université de Cergy-Pontoise.
2007/2010: Cours avec Eric
Cancès au M2
"Mathématiques de la modélisation", Université Pierre et Marie
Curie. Page web
du cours
2006/2010 : Cours
/ TD avec Frédéric
Legoll à l'ENPC
"Mathématiques des modèles
multi-échelles". Page web
du cours
Sept
2002 - Août 2004 : moniteur à l'UFR
MD, Université
Paris
Dauphine.
Quelques
Liens (Retour)
Le site
du département de Mathématiques
Le CEREMADE
Le
Laboratoire Jacques-Louis Lions
Le
CERMICS
Le
Département de Maths de l'université de Copenhague
Le
Projet MICMAC de l'INRIA
Le
Projet ANR ACCQUAREL
Le
Réseau Européen
"Analysis and Quantum"
Le CNRS
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