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131 résultats
Solution of a mountain pass problem for the isomerization of a molecule with one free atomAnnales Henri Poincaré, 2006, 7, pp.365-379
Article dans une revue
hal-00096319v1
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Improved Lieb-Oxford exchange-correlation inequality with gradient correctionPhysical Review A : Atomic, molecular, and optical physics [1990-2015], 2015, 91 (2), pp.022507. ⟨10.1103/PhysRevA.91.022507⟩
Article dans une revue
hal-01070603v1
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Fluctuations around Hartree states in the mean-field regimeAmerican Journal of Mathematics, 2015, in press
Article dans une revue
hal-00840761v1
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Large quantum systems: a mathematical and numerical perspectiveMathematics [math]. Université de Cergy Pontoise, 2009
HDR
tel-00394205v1
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Which Nuclear Shape Generates the Strongest Attraction on a Relativistic Electron? An Open Problem in Relativistic Quantum MechanicsMathematics Going Forward, 2313, Springer International Publishing, pp.487-497, 2023, Lecture Notes in Mathematics, ⟨10.1007/978-3-031-12244-6_34⟩
Chapitre d'ouvrage
hal-03619203v2
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Grand-Canonical Optimal Transport2022
Pré-publication, Document de travail
hal-03536401v1
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Théorie spectrale et mécanique quantiqueSpringer International Publishing, 87, 2022, Mathématiques et Applications, ⟨10.1007/978-3-030-93436-1⟩
Ouvrages
hal-03812036v1
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Ground State and Charge Renormalization in a Nonlinear Model of Relativistic AtomsCommunications in Mathematical Physics, 2009, 286 (1), pp.179-215. ⟨10.1007/s00220-008-0660-9⟩
Article dans une revue
hal-00200945v1
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The multiconfiguration methods in quantum chemistry: Palais-Smale condition and existence of minimizersComptes rendus de l'Académie des sciences. Série I, Mathématique, 2002, 334, pp.299--304
Article dans une revue
hal-00093505v1
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Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum ElectrodynamicsArchive for Rational Mechanics and Analysis, 2009, 192 (3), pp.453-499. ⟨10.1007/s00205-008-0144-2⟩
Article dans une revue
hal-00132407v1
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Two Hartree-Fock models for the vacuum polarizationDays on PDEs 2012, Jun 2012, Biarritz, France
Communication dans un congrès
hal-00736002v1
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The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gasesTransactions of the American Mathematical Society, 2016, 368 (9), pp.6131-6157. ⟨10.1090/tran/6537⟩
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hal-00990051v3
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Mean-field limits for quantum systems and nonlinear Gibbs measuresDmitry 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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The Dielectric Permittivity of Crystals in the reduced Hartree-Fock approximationArchive for Rational Mechanics and Analysis, 2010, 197 (1), pp.139-177. ⟨10.1007/s00205-009-0275-0⟩
Article dans une revue
inria-00367408v1
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Existence of global-in-time solutions to a generalized Dirac-Fock type evolution equationLetters in Mathematical Physics, 2005, 72, pp.99--113
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hal-00093532v1
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Renormalization of Dirac's Polarized VacuumPavel Exner. Mathematical Results In Quantum Physics: Proceedings of the Qmath11 Conference, World Scientific Publishing, pp.45-59, 2011, 978-981-4350-35-8
Chapitre d'ouvrage
hal-00522532v1
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Sur l'effondrement dynamique des étoiles quantiques pseudo-relativistesSéminaire Laurent Schwartz, Apr 2011, France
Communication dans un congrès
hal-00617741v1
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Limite de champ moyen et condensation de Bose-Einstein2014
Autre publication scientifique
hal-00916829v2
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The Electronic Ground State Energy Problem: a New Reduced Density Matrix ApproachJournal of Chemical Physics, 2006, 125, pp.064101
Article dans une revue
hal-00132412v1
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Mean-field models for disordered crystalsJournal de Mathématiques Pures et Appliquées, 2013, 100 (2), pp.241-274
Article dans une revue
hal-00675594v1
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Minimizers for the Hartree-Fock-Bogoliubov Theory of Neutron Stars and White DwarfsDuke Mathematical Journal, 2010, 152 (2), pp.257-315. ⟨10.1215/00127094-2010-013⟩
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hal-00334561v1
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Derivation of Pekar's Polarons from a Microscopic Model of Quantum CrystalsSIAM Journal on Mathematical Analysis, 2013, 45 (3), pp.1267--1301. ⟨10.1137/110846312⟩
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hal-00617688v1
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The mean-field approximation in quantum electrodynamics: the no-photon caseCommunications on Pure and Applied Mathematics, 2007, 60 (2007), no. 4 (60 (2007), no. 4), pp.546--596
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hal-00154147v1
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On Blowup for time-dependent generalized Hartree-Fock equationsAnnales Henri Poincaré, 2010, 11 (6), pp.1023-1052. ⟨10.1007/s00023-010-0054-3⟩
Article dans une revue
hal-00417810v1
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Spurious Modes in Dirac Calculations and How to Avoid ThemVolker Bach and Luigi Delle Site. Many-Electron Approaches in Physics, Chemistry and Mathematics, Springer International Publishing, pp.31-52, 2014, Mathematical Physics Studies, 978-3-319-06378-2. ⟨10.1007/978-3-319-06379-9_2⟩
Chapitre d'ouvrage
hal-00840762v1
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Mean-field limit of Bose systems: rigorous results2015
Pré-publication, Document de travail
hal-01215675v1
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Fast Diffusion leads to partial mass concentration in Keller-Segel type stationary solutionsMathematical Models and Methods in Applied Sciences, In press, 32 (4), pp.831-850. ⟨10.1142/S021820252250018X⟩
Article dans une revue
hal-03079032v1
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Floating Wigner crystal with no boundary charge fluctuationsPhysical Review B: Condensed Matter and Materials Physics (1998-2015), 2019, 100, pp.035127. ⟨10.1103/PhysRevB.100.035127⟩
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hal-02143056v1
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Statistical Mechanics of the Uniform Electron GasJournal de l'École polytechnique — Mathématiques, 2018, 5, pp.79-116. ⟨10.5802/jep.64⟩
Article dans une revue
hal-01534112v1
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The Hartree and Vlasov equations at positive densityCommunications in Partial Differential Equations, 2020, 45 (12), pp.1702--1754. ⟨10.1080/03605302.2020.1803355⟩
Article dans une revue
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