EnglishFrom the Hartree-Fock dynamics to the Vlasov equation
Multi angle
Auteurs : Saffirio, Chiara (Auteur de la Conférence)
CIRM (Editeur )
35Q40 - PDEs in connection with quantum mechanics
35Q55 - NLS-like equations (nonlinear Schrödinger)
82C10 - Quantum dynamics and nonequilibrium statistical mechanics (general)
82C22 - Interacting particle systems
CIRM (Editeur )
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Résumé :
We will discuss the convergence (in the semiclassical limit) of a solution to the Hartree-Fock equation towards an operator, whose Wigner transform is a solution to the Vlasov equation. We will consider both cases of positive and zero temperature. The results we will present are part of a project in collaboration with N. Benedikter, M. Porta and B. Schlein.
Codes MSC : 35Q40 - PDEs in connection with quantum mechanics
35Q55 - NLS-like equations (nonlinear Schrödinger)
82C10 - Quantum dynamics and nonequilibrium statistical mechanics (general)
82C22 - Interacting particle systems
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Informations sur la Vidéo
Langue : AnglaisDate de publication : 18/11/14 Date de captation : 13/11/14 Sous collection : Research talks arXiv category : Mathematical Physics ; Analysis of PDEs Domaine : PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Durée : 00:35:18 Audience : Researchers Download : https://videos.cirm-math.fr/2014-11-13_Saffirio.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Kinetic equations / Equations cinétiquesOrganisateurs de la rencontre : Bostan, Mihaï ; Hauray, Maxime ; Marra, Rossana ; Nouri, Anne Dates : 10/11/14 - 14/11/14 Année de la rencontre : 2014
Données de citation
DOI : 10.24350/CIRM.V.18627603Citer cette vidéo: Saffirio, Chiara (2014). From the Hartree-Fock dynamics to the Vlasov equation. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18627603 URI : http://dx.doi.org/10.24350/CIRM.V.18627603 |
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