Edit Profile (opens in new tab) Breteaux, Sébastien Co-Author Distance Author ID: breteaux.sebastien Published as: Breteaux, Sébastien; Breteaux, Sebastien; Breteaux, S. more...less External Links: ORCID Documents Indexed: 17 Publications since 2012, including 5 Additional arXiv Preprints Co-Authors: 16 Co-Authors with 13 Joint Publications 365 Co-Co-Authors all top 5 Co-Authors 4 single-authored 6 Bach, Volker 4 Faupin, Jérémy 4 Sigal, Israel Michael 2 Ammari, Zied 2 Chen, Thomas 2 Fröhlich, Jürg Martin 2 Knörr, Hans Konrad 2 Lemm, Marius 2 Menge, Edmund 2 Nier, Francis 2 Payet, Jimmy 2 Tzaneteas, Tim 1 Petrat, Sören 1 Pickl, Peter 1 Yang, Dong Hao Ou 1 Zhang, Jingxuan all top 5 Serials 2 Documenta Mathematica 1 Journal of Mathematical Physics 1 Annales de l’Institut Fourier 1 Asymptotic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Evolution Equations 1 Cubo 1 Tunisian Journal of Mathematics all top 5 Fields 12 Quantum theory (81-XX) 7 Partial differential equations (35-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 7 Publications have been cited 64 times in 56 Documents Cited by ▼ Year ▼ Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Zbl 1333.35221 Bach, Volker; Breteaux, Sébastien; Petrat, Sören; Pickl, Peter; Tzaneteas, Tim 29 2016 Propagation of chaos for many-boson systems in one dimension with a point pair-interaction. Zbl 1253.81067 Ammari, Z.; Breteaux, S. 10 2012 The time-dependent Hartree-Fock-Bogoliubov equations for bosons. Zbl 1511.35297 Bach, Volker; Breteaux, Sebastien; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 9 2022 Quantum mean-field asymptotics and multiscale analysis. Zbl 1407.81117 Ammari, Zied; Breteaux, Sébastien; Nier, Francis 6 2019 A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field, using a Fock space approach. (Une dérivation géométrique de l’équation de Boltzmann linéaire pour une particule en interaction avec un champ aléatoire gaussien, utilisant l’espace de Fock.) Zbl 1315.82015 Breteaux, Sébastien 4 2014 Generalization of Lieb’s variational principle to Bogoliubov-Hartree-Fock theory. Zbl 1295.81146 Bach, Volker; Breteaux, Sébastien; Knörr, Hans Konrad; Menge, Edmund 4 2014 Minimization of the energy of the nonrelativistic one-electron Pauli-Fierz model over quasifree states. Zbl 1291.81401 Bach, Volker; Breteaux, Sébastien; Tzaneteas, Tim 2 2013 The time-dependent Hartree-Fock-Bogoliubov equations for bosons. Zbl 1511.35297 Bach, Volker; Breteaux, Sebastien; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 9 2022 Quantum mean-field asymptotics and multiscale analysis. Zbl 1407.81117 Ammari, Zied; Breteaux, Sébastien; Nier, Francis 6 2019 Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction. Zbl 1333.35221 Bach, Volker; Breteaux, Sébastien; Petrat, Sören; Pickl, Peter; Tzaneteas, Tim 29 2016 A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field, using a Fock space approach. (Une dérivation géométrique de l’équation de Boltzmann linéaire pour une particule en interaction avec un champ aléatoire gaussien, utilisant l’espace de Fock.) Zbl 1315.82015 Breteaux, Sébastien 4 2014 Generalization of Lieb’s variational principle to Bogoliubov-Hartree-Fock theory. Zbl 1295.81146 Bach, Volker; Breteaux, Sébastien; Knörr, Hans Konrad; Menge, Edmund 4 2014 Minimization of the energy of the nonrelativistic one-electron Pauli-Fierz model over quasifree states. Zbl 1291.81401 Bach, Volker; Breteaux, Sébastien; Tzaneteas, Tim 2 2013 Propagation of chaos for many-boson systems in one dimension with a point pair-interaction. Zbl 1253.81067 Ammari, Z.; Breteaux, S. 10 2012 all cited Publications top 5 cited Publications all top 5 Cited by 80 Authors 7 Petrat, Sören 5 Falconi, Marco 5 Pickl, Peter 5 Porta, Marcello 5 Schlein, Benjamin 4 Ammari, Zied 4 Bach, Volker 4 Benedikter, Niels 4 Breteaux, Sébastien 4 Saffirio, Chiara 3 Chen, Li 3 Lafleche, Laurent 3 Lee, Jinyeop 3 Lewin, Mathieu 3 Liard, Quentin 3 Liew, Matthew 3 Solovej, Jan Philip 2 Machedon, Matei 2 Mitrouskas, David 2 Nier, Francis 2 Olivieri, Marco 2 Rademacher, Simone 2 Rosenzweig, Matthew 2 Sigal, Israel Michael 1 Ammann, Bernd Eberhard 1 Bal, Guillaume 1 Browning, Thomas L. 1 Bru, Jean-Bernard 1 Chen, Thomas 1 Correggi, Michele 1 Dietler, Elia 1 Dimonte, Daniele 1 Duerinckx, Mitia 1 Feintzeig, Benjamin H. 1 Fournais, Søren 1 Fresta, Luca 1 Fröhlich, Jürg Martin 1 Gates-Redburg, Robin 1 Griesemer, Marcel 1 Grillakis, Manoussos G. 1 Gu, Yu 1 Hach, Alexander 1 Hott, Michael 1 Jeblick, Maximilian 1 Jørgensen, Palle E. T. 1 Knörr, Hans Konrad 1 Kuzemsky, Alexander Leonidovich 1 Leopold, Nikolai 1 Li, Yue 1 Librande, Jonah 1 Madsen, Peter S. 1 Margetis, Dionisios 1 Mendelson, Dana 1 Menge, Edmund 1 Mougel, Jérémy 1 Nahmod, Andrea R. 1 Napiórkowski, Marcin 1 Nistor, Victor 1 Olgiati, Alessandro 1 Pavlović, Nataša 1 Pawilowski, Boris 1 Phan Thành Nam 1 Pinaud, Olivier 1 Quentin, Liard 1 Reuvers, Robin 1 Rouffort, C. 1 Rougerie, Nicolas 1 Sabin, Julien 1 Schmid, Jochen 1 Seiringer, Robert 1 Shirley, Christopher 1 Soffer, Avraham 1 Soiffer, Rory 1 Sok, Jérémy 1 Sorokanich, Stephen 1 Staffilani, Gigliola 1 Tian, Feng 1 Triay, Arnaud 1 Tzaneteas, Tim 1 Zied, Ammari all top 5 Cited in 30 Serials 8 Annales Henri Poincaré 6 Journal of Mathematical Physics 6 Journal of Statistical Physics 3 Archive for Rational Mechanics and Analysis 3 Communications in Partial Differential Equations 2 Communications in Mathematical Physics 2 Quarterly of Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Discrete and Continuous Dynamical Systems 1 International Journal of Modern Physics B 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Documenta Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 EMS Surveys in Mathematical Sciences 1 International Journal of Applied and Computational Mathematics 1 Tunisian Journal of Mathematics all top 5 Cited in 18 Fields 46 Quantum theory (81-XX) 38 Partial differential equations (35-XX) 25 Statistical mechanics, structure of matter (82-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Functional analysis (46-XX) 4 Operator theory (47-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year