Articles

Jex M., Lewin M., Madsen P. (2023), Classical Density Functional Theory: Representability and Universal Bounds, Journal of Statistical Physics, vol. 190, n°4

Lewin M. (2023), L'équation de Schrödinger, La Gazette de la Société Mathématique de France, vol. 177, p. 9-24

Lewin M. (2022), Coulomb and Riesz gases: The known and the unknown, Journal of Mathematical Physics, vol. 63, n°6, p. 95

Carrillo J., Delgadino M., Frank R., Lewin M. (2022), Fast Diffusion leads to partial mass concentration in Keller-Segel type stationary solutions, Mathematical Models and Methods in Applied Sciences, vol. 32, n°4, p. 831-850

Teale A., Helgaker T., Savin A., Adano C., Aradi B., Arbuznikov A., Ayers P., Baerends E., Barone V., Calaminici P., Cancès É., Carter E., Chattaraj ., Chermette H., Ciofini I., Crawford T., De Proft F., Dobson J., Draxl C., Frauenheim T., Fromager E., Fuentealba P., Gagliardi L., Galli G., Gao J., Geerlings P., Gidopoulos N., Gill P., Gori-Giorgi P., Görling A., Gould T., Grimme S., Gritsenko O., Jensen H., Johnson E., Jones R., Knaupp M., Köster A., Kronik L., Krylov A., Kvaal S., Laestadius A., Levy M., Lewin M., Liu S., Loos P-F., Maitra N., Neese F., Perdew J., Pernal ., Pernot P., Piecuch P., Rebolini E., Reining L., Romaniello P., Ruzsinszky A., Salahub D., Scheffler M., Schwerdtfeger P., Staroverov V., Sun ., Tellgren E., Tozer D., Trickey S., Ullrich C., Vela A., Vignale G., Wesolowski ., Xu X., Yang W. (2022), DFT Exchange: Sharing Perspectives on the Workhorse of Quantum Chemistry and Materials Science, Physical Chemistry Chemical Physics, n°47

Lewin M., Lieb E., Seiringer R. (2022), Improved Lieb-Oxford bound on the indirect and exchange energies, Letters in Mathematical Physics, n°112, p. 31

Esteban M., Lewin M., Séré É. (2021), Dirac-Coulomb operators with general charge distribution. II. The lowest eigenvalue, Proceedings of the London Mathematical Society, vol. 123, n°4, p. 345-383

Esteban M., Lewin M., Séré É. (2021), Dirac-Coulomb operators with general charge distribution I. Distinguished extension and min-max formulas, Annales Henri Lebesgue, vol. 4, p. 1421-1456

Gontier D., Lewin M., Nazar F. (2021), The Nonlinear Schrödinger Equation for Orthonormal Functions : Existence of Ground States, Archive for Rational Mechanics and Analysis, vol. 240, n°3, p. 1203-1254

Frank R., Gontier D., Lewin M. (2021), The Nonlinear Schrödinger Equation for Orthonormal Functions II: Application to Lieb–Thirring Inequalities, Communications in Mathematical Physics, vol. 384, p. 1783-1828

Lewin M., Nam P., Rougerie N. (2021), Classical field theory limit of many-body quantum Gibbs states in 2D and 3D, Inventiones Mathematicae, vol. 224, p. 315–444

Anapolitanos I., Lewin M. (2020), Compactness of molecular reaction paths in quantum mechanics, Archive for Rational Mechanics and Analysis, n°236, p. 505–576

Fournais S., Lewin M., Triay A. (2020), The Scott correction in Dirac-Fock theory, Communications in Mathematical Physics, vol. 378, p. 569-600

Lewin M., Rota Nodari S. (2020), The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications, Calculus of Variations and Partial Differential Equations, vol. 59, n°197, p. 1-53

Lewin M., Sabin J. (2020), The Hartree and Vlasov equations at positive density, Communications in Partial Differential Equations, vol. 45, n°12, p. 1702-1754

Lewin M., Lieb E., Seiringer R. (2020), The Local Density Approximation in Density Functional Theory, Pure and Applied Analysis, vol. 2, n°1, p. 35-73

Lewin M., Lieb E., Seiringer R. (2019), Floating Wigner crystal with no boundary charge fluctuations, Physical Review. B, Condensed matter and materials physics, vol. 100, n°035127

Gontier D., Lewin M. (2019), Spin symmetry breaking in the translation-invariant Hartree-Fock Uniform Electron Gas, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, vol. 21, n°4, p. 3388–3423

Gontier D., Hainzl C., Lewin M. (2019), Lower Bound on the Hartree-Fock Energy of the Electron Gas, Physical Review. A, Atomic, Molecular and Optical Physics and Quantum Information, vol. 99, n°5

Lewin M., Madsen P., Triay A. (2019), Semi-classical limit of large fermionic systems at positive temperature, Journal of Mathematical Physics, vol. 60, n°9, p. 34

Esteban M., Lewin M., Séré É. (2019), Domains for Dirac-Coulomb min-max levels, Revista Matematica Iberoamericana, vol. 35, n°3, p. 877-924

Lewin M., Nam P., Rougerie N. (2019), Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases, Journal of Mathematical Physics, vol. 60, n°6, p. 13

Lewin M. (2018), Semi-classical limit of the Levy-Lieb functional in Density Functional Theory, Comptes rendus. Mathématique, vol. 356, n°4, p. 449-455

Lewin M., Lieb E., Seiringer R. (2018), Statistical Mechanics of the Uniform Electron Gas, Journal de l'école Polytechnique. Mathématiques, vol. 5, n°2018, p. 79-116

Lewin M. (2018), Existence of Hartree-Fock excited states for atoms and molecules, Letters in Mathematical Physics, vol. 108, n°4, p. 985-1006

Fournais S., Lewin M., Solovej J. (2018), The semi-classical limit of large fermionic systems, Calculus of Variations and Partial Differential Equations, vol. 57, n°4, p. n°105

Lewin M., Nam P., Rougerie N. (2018), Gibbs measures based on 1D (an)harmonic oscillators as mean-field limits, Journal of Mathematical Physics, n°59, p. n°041901

Chupin M., Dolbeault J., Esteban M., Lewin M. (2018), Une cartographie de la communauté mathématique française, Gazette des Mathématiciens, vol. 156, n°avril 2018, p. 49-61

Gravejat P., Lewin M., Séré É. (2018), Derivation of the magnetic Euler-Heisenberg energy, Journal de mathématiques pures et appliquées, vol. 117, n°septembre 2018, p. 59-93

Lewin M., Nam P., Rougerie N. (2017), A note on 2D focusing many-boson systems, Proceedings of the American Mathematical Society, vol. 145, n°6, p. 2441-2454

Lewin M., Nam P., Rougerie N. (2016), The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases, Transactions of the American Mathematical Society, vol. 368, n°9, p. 6131-6157

Fournais S., Lampart J., Lewin M., Sørensen T. (2016), Coulomb potentials and Taylor expansions in time-dependent density-functional theory, Physical Review. A, Atomic, Molecular and Optical Physics and Quantum Information, vol. 93, n°6, p. n°062510

Lampart J., Lewin M. (2016), Semi-Classical Dirac Vacuum Polarisation in a Scalar Field, Annales Henri Poincaré, vol. 17, n°8, p. 1937-1954

Lewin M., Nam P., Rougerie N. (2015), Derivation of nonlinear Gibbs measures from many-body quantum mechanics, Journal de l'école Polytechnique. Mathématiques, vol. 2, p. 65-115

Blanc X., Lewin M. (2015), The Crystallization Conjecture: A Review, EMS Surveys in Mathematical Sciences, vol. 2, n°2, p. 255–306

Lewin M., Lieb E. (2015), Improved Lieb-Oxford exchange-correlation inequality with gradient correction, Physical Review. A, Atomic, Molecular and Optical Physics and Quantum Information, vol. 91, p. n°022507

Lampart J., Lewin M. (2015), A Many-Body RAGE Theorem, Communications in Mathematical Physics, vol. 340, n°3, p. 1171-1186

Gravejat P., Lewin M., Hainzl C., Séré E. (2013), Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields, Archive for Rational Mechanics and Analysis, vol. 208, n°2, p. 603-655

Gravejat P., Lewin M., Séré E. (2011), Renormalization and asymptotic expansion of Dirac's polarized vacuum, Communications in Mathematical Physics, vol. 306, n°1, p. 1-33

Esteban M., Savin A., Lewin M. (2010), Symmetry Breaking of Relativistic Multiconfiguration Methods in the Nonrelativistic Limit, Nonlinearity, vol. 23, n°4, p. 767-791

Gravejat P., Séré E., Lewin M. (2009), Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms, Communications in Mathematical Physics, vol. 286, n°1, p. 179-215

Dolbeault J., Felmer P., Lewin M. (2009), Orbitally-Stable States in Generalized Hartree-Fock Theory, Mathematical Models and Methods in Applied Sciences, vol. 19, n°3, p. 347-367

Ghimenti M., Lewin M. (2009), Properties of the periodic Hartree-Fock minimizer, Calculus of Variations and Partial Differential Equations, vol. 35, n°1, p. 39-56

Lewin M., Séré E., Hainzl C. (2009), Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics, Archive for Rational Mechanics and Analysis, vol. 192, n°3, p. 453-499

Lewin M., Séré E. (2009), Spectral Pollution and How to Avoid It (With Applications to Dirac and Periodic Schrödinger Operators), Proceedings of the London Mathematical Society, vol. 100, n°3, p. 864-900

Séré E., Lewin M., Esteban M. (2008), Variational methods in relativistic quantum mechanics, Bulletin of the American Mathematical Society, vol. 45, n°4, p. 535–593

Hainzl C., Solovej J., Séré E., Lewin M. (2007), A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics, Physical Review. A, Atomic, Molecular and Optical Physics and Quantum Information, vol. 76, n°5, p. 52-104

Hainzl C., Séré E., Lewin M. (2005), Self-consistent solution for the polarized vacuum in a no-photon QED model, Journal of Physics A: Mathematical and Theoretical, vol. 38, n°20, p. 4483-4499

Hainzl C., Séré E., Lewin M. (2005), Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation, Communications in Mathematical Physics, vol. 257, n°3, p. 515-562

Lewin M. (2004), Solutions of the multiconfiguration equations in quantum chemistry, Archive for Rational Mechanics and Analysis, vol. 171, n°1, p. 83-114

Lewin M. (2004), A mountain pass for reacting molecules, Annales Henri Poincaré, vol. 5, p. 477-521

Lewin M. (2002), The multiconfiguration methods in quantum chemistry: Palais–Smale condition and existence of minimizers, Comptes rendus. Mathématique, vol. 334, n°4, p. 299-304

Ouvrages

Lewin M. (2024), Spectral Theory and Quantum Mechanics, Berlin Heidelberg: Springer, 340 p.

Lewin M. (2022), Théorie spectrale et mécanique quantique, Berlin Heidelberg: Springer, XIV-330 p.

Frank R., Laptev A., Lewin M., Seiringer R. (2022), The Physics and Mathematics of Elliott Lieb, Zürich: European Mathematical Society, 1372 p.

Chapitres d'ouvrage

Esteban M., Lewin M., Séré É. (2023), Which nuclear shape generates the strongest attraction on a relativistic electron? An open problem in relativistic quantum mechanics, in Jean-Michel Morel, Bernard Teissier, Mathematics Going Forward Springer, p. 487–497

Lewin M., Lieb E., Seiringer R. (2023), Universal Functionals in Density Functional Theory, in Eric Cancès, Gero Friesecke, Density Functional Theory. Modeling, Mathematical Analysis, Computational Methods, and Applications Springer, p. 115-182

Communications avec actes

Lewin M. (2023), Mean-field limits for quantum systems and nonlinear Gibbs measures, in Dmitry Beliaev, Stanislav Smirnov, Colombelles (Calvados), EMS - Editions Management et Sociétés, 3800-3821 p.

Lewin M., Nam P., Rougerie N. (2018), Blow-up profile of rotating 2D focusing Bose gases, in Cadamuro, D., Duell, M., Dybalski, W., Simonella, S., Macroscopic Limits of Quantum Systems. MaLiQS 2017. Springer Proceedings in Mathematics & Statistics, vol 270, Macroscopic Limits of Quantum Systems, 21 p.

Gravejat P., Hainzl C., Lewin M., Séré E. (2016), Deux modèles effectifs pour les champs électromagnétiques dans le vide de Dirac, in François Golse et Frank Merle, Séminaire Laurent Schwartz — EDP et applications (2015-2016), Séminaire Laurent Schwartz -EDP et applications, Ex No. 14, 20 p.

Communications sans actes

Lewin M. (2019), L'équation de Schrödinger et ses approximations de type champ moyen, Colloquium MathAlp 2019, Grenoble, France

Lewin M., Nam P., Rougerie N. (2015), Bose gases at positive temperature and non-linear Gibbs measures, Proceedings of the 18th ICMP, Santiago de Chile, July 2015, Santiago du Chili, Chili

Lewin M. (2015), Mean-field limit of Bose systems: rigorous results, Proceedings from the International Congress of Mathematical Physics at Santiago de Chile, July 2015., Santiago du Chili, Chili

Séré E., Gravejat P., Lewin M., Hainzl C. (2012), Two Hartree-Fock models for the vacuum polarization, Journées EDP 2012, Biarritz, France

Prépublications / Cahiers de recherche

Jex M., Lewin M., Madsen P. (2023), Classical Density Functional Theory: The Local Density Approximation, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 65 p.

Lewin M., Nam P. (2023), Positive-density ground states of the Gross-Pitaevskii equation, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 86 p.

Jex M., Lewin M., Madsen P. (2022), Classical Density Functional Theory: Representability and Universal Bounds, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 50 p.

Di Marino S., Lewin M., Nenna L. (2022), Grand-Canonical Optimal Transport, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 59 p.

Frank R., Gontier D., Lewin M. (2021), Optimizers for the finite-rank Lieb-Thirring inequality, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 52 p.

Anapolitanos I., Lewin M., Roth M. (2019), Differentiability of the van der Waals interaction between two atoms, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 33 p.

Lewin M., Lieb E., Seiringer R. (2019), The Local Density Approximation in Density Functional Theory, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 41 p.

Lewin M., Nam P., Rougerie N. (2018), The interacting 2D Bose gas and nonlinear Gibbs measures, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 4 p.