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Minimization methods for the one-particle Dirac equation

Jean Dolbeault , Maria J. Esteban , Eric Séré , Michel Vanbreugel
Physical Review Letters, 2000, 85 (19), pp.4020-4023. ⟨10.1103/PhysRevLett.85.4020⟩
Article dans une revue hal-00657535v1
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Some connections between Dirac-Fock and Electron-Positron Hartree-Fock

Jean-Marie Barbaroux , Maria J. Esteban , Eric Séré
2004
Pré-publication, Document de travail hal-00002869v1
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Dirac-Fock models for atoms and molecules and related topics

Maria J. Esteban , Eric Séré
XIVth International Congress on Mathematical Physics, 2003, Lisbon, Portugal. pp.21-28
Communication dans un congrès hal-00012847v1
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Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators

Jean Dolbeault , Maria J Esteban , Éric Séré
Journal of Spectral Theory, 2023, 13 (2), pp.491-524. ⟨10.4171/JST/461⟩
Article dans une revue hal-03702964v4

Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics

Christian Hainzl , Mathieu Lewin , Eric Séré
Archive 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 polarization

Philippe Gravejat , Christian Hainzl , Mathieu Lewin , Eric Séré
Days on PDEs 2012, Jun 2012, Biarritz, France
Communication dans un congrès hal-00736002v1

Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms

Philippe Gravejat , Mathieu Lewin , Eric Séré
Communications 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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Which Nuclear Shape Generates the Strongest Attraction on a Relativistic Electron? An Open Problem in Relativistic Quantum Mechanics

Maria Esteban , Mathieu Lewin , Éric Séré
Mathematics 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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LOCAL SMOOTHING ESTIMATES FOR THE MASSLESS DIRAC-COULOMB EQUATION IN 2 AND 3 DIMENSIONS

Federico Cacciafesta , Eric Séré
Journal of Functional Analysis, 2016, 271 (8), pp.2339-2358
Article dans une revue hal-01117768v2

A variational method for relativistic computations in atomic and molecular physics

Jean Dolbeault , Maria J. Esteban , Eric Séré
International Journal of Quantum Chemistry, 2003, 93, pp.149-155
Article dans une revue hal-00453382v1

A Minimization Method for Relativistic Electrons in a Mean-Field Approximation of Quantum Electrodynamics

Christian Hainzl , Mathieu Lewin , Eric Séré , Jan Philip Solovej
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2007, 76, pp.052104. ⟨10.1103/PhysRevA.76.052104⟩
Article dans une revue hal-00154275v1
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Derivation of the magnetic Euler-Heisenberg energy

Philippe Gravejat , Mathieu Lewin , Eric Séré
Journal de Mathématiques Pures et Appliquées, 2018, 117, pp.59-93. ⟨10.1016/j.matpur.2017.07.015⟩
Article dans une revue hal-01270637v3

Computational approaches of relativistic models in quantum chemistry

Jean-Paul Desclaux , Jean Dolbeault , Maria J. Esteban , Paul Indelicato , Eric Séré
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
Chapitre d'ouvrage hal-00573854v1
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Domains for Dirac-Coulomb min-max levels

Maria J. Esteban , Mathieu Lewin , Eric Séré
Revista Matemática Iberoamericana, 2019, 35 (3), pp.877-924. ⟨10.4171/rmi/1074⟩
Article dans une revue hal-01467766v4
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Renormalization and asymptotic expansion of Dirac's polarized vacuum

Philippe Gravejat , Mathieu Lewin , Eric Séré
Communications in Mathematical Physics, 2011, 306 (1), pp.1-33. ⟨10.1007/s00220-011-1271-4⟩
Article dans une revue hal-00472276v1

Spurious Modes in Dirac Calculations and How to Avoid Them

Mathieu Lewin , Eric Séré
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⟩
Chapitre d'ouvrage hal-00840762v1
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A new definition of the Dirac-Fock ground state

Eric Séré
Communications in Mathematical Physics, 2023, 404 (3), pp.1275--1307. ⟨10.1007/s00220-023-04862-y⟩
Article dans une revue hal-03858943v4
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Multiple front standing waves in the FitzHugh-Nagumo equations

Chao-Nien Chen , Eric Séré
Journal of Differential Equations, 2021, 302, pp. 895-925. ⟨10.1016/j.jde.2021.08.005⟩
Article dans une revue hal-01758786v3

Nonrelativistic limit of the Dirac-Fock equations

Maria J. Esteban , Eric Séré
Annales Henri Poincaré, 2001, pp.941-961
Article dans une revue hal-00453389v1

Existence of Atoms and Molecules in the Mean-Field Approximation of No-Photon Quantum Electrodynamics

C. Hainzl , Mathieu Lewin , Eric Séré
2006
Autre publication scientifique hal-00096320v1
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A surjection theorem for maps with singular perturbation and loss of derivatives

Ivar Ekeland , Eric Séré
Journal of the European Mathematical Society, 2021, 23 (10), pp. 3323-3349. ⟨10.4171/JEMS/1086⟩
Article dans une revue hal-01924328v5

Self-consistent solution for the polarized vacuum in a no-photon QED model

C. Hainzl , Mathieu Lewin , Eric Séré
Journal of Physics A: Mathematical and Theoretical, 2005, 38 no 20, pp.4483-4499
Article dans une revue hal-00097075v1

A max-min principle for the ground state of the Dirac-Fock functional.

Maria J. Esteban , Eric Séré
Mathematical results in quantum mechanics, 2001, Taxco, Mexico. pp.135-141
Communication dans un congrès hal-00573855v1

Dirac-Coulomb operators with general charge distribution. I. Distinguished extension and min-max formulas

Maria J. Esteban , Mathieu Lewin , Eric Séré
Annales Henri Lebesgue, 2021, 4, pp.1421-1456. ⟨10.5802/ahl.106⟩
Article dans une revue hal-02503460v1
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Deux modèles effectifs pour les champs électromagnétiques dans le vide de Dirac

Philippe Gravejat , Christian Hainzl , Mathieu Lewin , Eric Séré
Autre publication scientifique hal-01358185v1

Self-consistent solution for the polarized vacuum in a no-photon QED model

Mathieu Lewin , Christian Hainzl , Eric Séré
Journal of Physics A: Mathematical and Theoretical, 2005, 38, pp.4483--4499
Article dans une revue hal-00093527v1

Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation

Christian Hainzl , Mathieu Lewin , Eric Séré
Communications in Mathematical Physics, 2005, 257, pp.515--562
Article dans une revue hal-00093533v1

A max-min principle for the ground state of the Dirac-Fock functional

Eric Séré , Maria J. Esteban
QMATH-8, Mathematical Results in Quantum Mechanics, Dec 2001, Mexico, Mexico. pp.350
Communication dans un congrès hal-01677328v1

Dirac-Coulomb operators with general charge distribution. II. The lowest eigenvalue

Maria J. Esteban , Mathieu Lewin , Eric Séré
Proceedings of the London Mathematical Society, 2021, Proceedings of the London Mathematical Society, 123 (4), pp.345-383. ⟨10.1112/plms.12396⟩
Article dans une revue hal-02503462v1
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Corrigendum to: “On the eigenvalues of operators with gaps. Application to Dirac operators” [j. funct. anal. 174 (1) (2000) 208–226]. Journal of Functional Analysis, 284(1):109651, jan 2023.

Jean Dolbeault , Maria J. Esteban , Eric Séré
Journal of Functional Analysis, 2000, 284 (1), pp.109651. ⟨10.1016/j.jfa.2022.109651⟩
Article dans une revue hal-00659883v1