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hal-01358185v1  Autre publication
Philippe Gravejat, Christian Hainzl, Mathieu Lewin, Eric Séré. Deux modèles effectifs pour les champs électromagnétiques dans le vide de Dirac
Séminaire Laurent Schwartz. Équations aux dérivées partielles et applications. 2016. 2016, <10.5802/slsedp.89>
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hal-00156710v2  Article dans une revue
Maria J. Esteban, Mathieu Lewin, Eric Séré. Variational methods in relativistic quantum mechanics
Bull. Amer. Math. Soc. (N.S.), 2008, 45 (4), pp.535-593
hal-00361397v1  Article dans une revue
Carlo Carminati, Eric Séré, Kazunaga Tanaka. The fixed energy problem for a class of nonconvex singular Hamiltonian systems
Journal of Differential Equations, Elsevier, 2006, 230 (1), pp.362-377. <10.1016/j.jde.2006.01.021>
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hal-00012837v1  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Eric Séré. General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators.
Journal of the European Mathematical Society, European Mathematical Society, 2006, 8 (2), pp.243-251
hal-00359909v1  Article dans une revue
Boris Buffoni, Maria J. Esteban, Eric Séré. Normalized solutions to strongly indefinite semilinear equations
advanced nonlinear studies, 2006, 6 (2), pp.323-347
hal-00361426v1  Article dans une revue
Boris Buffoni, Eric Séré, John Toland. Minimisation methods for quasi-linear problems, with an application to periodic water waves
SIAM Journal on Mathematical Analysis / SIAM Journal of Mathematical Analysis, springer, 2005, 36 (4), pp.1080-1094. <10.1137/S0036141003432766>
hal-00573855v1  Communication dans un congrès
Maria J. Esteban, Eric Séré. A max-min principle for the ground state of the Dirac-Fock functional.
Ricardo Weder, Pavel Exner, Benoit Grébert. Mathematical results in quantum mechanics, 2001, Taxco, Mexico. AMS, pp.135-141, 2002, Contemporary Mathematics
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hal-00769075v1  Pré-publication, Document de travail
Mauricio Garcia Arroyo, Eric Séré. Existence of kink solutions in a discrete model of the polyacetylene molecule
2012
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hal-00736002v1  Communication dans un congrès
Philippe Gravejat, Christian Hainzl, Mathieu Lewin, Eric Séré. Two Hartree-Fock models for the vacuum polarization
Days on PDEs 2012, Jun 2012, Biarritz, France. 2012
hal-00573854v1  Chapitre d'ouvrage
Jean-Paul Desclaux, Jean Dolbeault, Maria J. Esteban, Paul Indelicato, Eric Séré. Computational approaches of relativistic models in quantum chemistry
P.G. Ciarlet (series editor), C. Le Bris (guest editor). Handbook of numerical analysis, Vol. X. Special volume: computational chemistry., North-Holland, Amsterdam, pp.453-483, 2003, Handbook of numerical analysis
hal-00453382v1  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Eric Séré. A variational method for relativistic computations in atomic and molecular physics
International Journal of Quantum Chemistry, Wiley, 2003, pp.149-155
hal-00840762v1  Chapitre d'ouvrage
Mathieu Lewin, Eric Séré. Spurious Modes in Dirac Calculations and How to Avoid Them
Volker 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>
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hal-00012847v1  Communication dans un congrès
Maria J. Esteban, Eric Séré. Dirac-Fock models for atoms and molecules and related topics
XIVth International Congress on Mathematical Physics, 2003, Lisbon, Portugal. World Sci. Publ., Hackensack, NJ, pp.21-28, 2005
hal-00012913v1  Article dans une revue
Jean-Marie Barbaroux, Maria J. Esteban, Eric Séré. Some connections between Dirac-Fock and Electron-Positron Hartree-Fock
Annales de l'Institut Henri Poincare Physique Theorique, 2005, 6,No.1, pp.85-102
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hal-01467766v1  Pré-publication, Document de travail
Maria J. Esteban, Mathieu Lewin, Eric Séré. Domains for Dirac-Coulomb min-max levels
2017
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hal-00002869v1  Pré-publication, Document de travail
Jean-Marie Barbaroux, Maria J. Esteban, Eric Séré. Some connections between Dirac-Fock and Electron-Positron Hartree-Fock
old submission: math-ph/0402058. 2004
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hal-00346352v1  Article dans une revue
Mathieu Lewin, Eric Séré. Spectral Pollution and How to Avoid It (With Applications to Dirac and Periodic Schrödinger Operators)
Proceedings of the London Mathematical Society, London Mathematical Society, 2010, 100 (3), pp.864-900. <10.1112/plms/pdp046>
hal-00657535v1  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Eric Séré, Michel Vanbreugel. Minimization methods for the one-particle Dirac equation
Physical Review Letters, American Physical Society, 2000, 85 (19), pp.4020-4023. <10.1103/PhysRevLett.85.4020>
hal-00452923v1  Article dans une revue
Boris Buffoni, Eric Séré, J.F. Toland. Surface water waves as saddle points of the energy
Calculus of Variations and Partial Differential Equations, Springer Verlag, 2003, 17 (2), pp.199-220
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hal-01540537v1  Article dans une revue
Paulwin Graewe, Ulrich Horst, Eric Séré. Smooth Solutions to Portfolio Liquidation Problems under Price-Sensitive Market Impact *
Stochastic Processes and their Applications, Elsevier, 2017, <10.1016/j.spa.2017.06.013>
hal-00453389v1  Article dans une revue
Maria J. Esteban, Eric Séré. Nonrelativistic limit of the Dirac-Fock equations
Annales Henri Poincaré, Springer Verlag, 2001, pp.941-961
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hal-00687272v3  Article dans une revue
Philippe Gravejat, Christian Hainzl, Mathieu Lewin, Eric Séré. Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields
Archive for Rational Mechanics and Analysis, Springer Verlag, 2013, 208 (2), pp.603-665. <http://link.springer.com/article/10.1007/s00205-012-0609-1>. <10.1007/s00205-012-0609-1>
hal-00132407v1  Article dans une revue
Christian Hainzl, Mathieu Lewin, Eric Séré. Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics
Archive for Rational Mechanics and Analysis, Springer Verlag, 2009, 192 (3), pp.453-499. <10.1007/s00205-008-0144-2>
hal-00200945v1  Article dans une revue
Philippe Gravejat, Mathieu Lewin, Eric Séré. Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms
Communications in Mathematical Physics, Springer Verlag, 2009, 286 (1), pp.179-215. <10.1007/s00220-008-0660-9>
hal-00093533v1  Article dans une revue
Christian Hainzl, Mathieu Lewin, Eric Séré. Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation
Communications in Mathematical Physics, Springer Verlag, 2005, 257, pp.515--562
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hal-00472276v1  Article dans une revue
Philippe Gravejat, Mathieu Lewin, Eric Séré. Renormalization and asymptotic expansion of Dirac's polarized vacuum
Communications in Mathematical Physics, Springer Verlag, 2011, 306 (1), pp.1-33. <10.1007/s00220-011-1271-4>
hal-00093527v1  Article dans une revue
Mathieu Lewin, Christian Hainzl, Eric Séré. Self-consistent solution for the polarized vacuum in a no-photon QED model
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2005, 38, pp.4483--4499
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hal-01117768v2  Article dans une revue
Federico Cacciafesta, Eric Séré. LOCAL SMOOTHING ESTIMATES FOR THE MASSLESS DIRAC-COULOMB EQUATION IN 2 AND 3 DIMENSIONS
Journal of Functional Analysis, Elsevier, 2016, 271 (8), pp.2339-2358
hal-00659883v1  Article dans une revue
Jean Dolbeault, Maria J. Esteban, Eric Séré. On the eigenvalues of operators with gaps. Application to Dirac operators.
Journal of Functional Analysis, Elsevier, 2000, 174, pp.208-226. <10.1006/jfan.1999.3542>

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