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H 1 From the many-body quantum dynamics to the Vlasov equation

Auteurs : Saffirio, Chiara (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : We review some results on the joint mean-field and semiclassical limit of the fermionic N-body Schrödinger dynamics leading to the Vlasov equation, which is a model in kinetic theory for charged or gravitating particles. The results we present include the case of singular interactions and provide explicit estimates on the convergence rate, using the Hartree-Fock theory for interacting fermions as a bridge between many-body and Vlasov dynamics.

    Keywords : Vlasov equation; interactions; convergence rate; Hartree-Fock theory

    Codes MSC :
    81V19 - Other fundamental interactions
    82C40 - Kinetic theory of gases
    35Q83 - Vlasov-like equations

    Ressources complémentaires :
    https://www.cirm-math.fr/RepOrga/2066/Slides/CIRM2019.pdf

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 26/11/2019
      Date de captation : 23/10/2019
      Collection : Research talks ; Analysis and its Applications ; Partial Differential Equations ; Mathematical Physics
      Format : MP4
      Durée : 00:45:29
      Domaine : Analysis and its Applications ; PDE ; Mathematical Physics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2019-10-23_Saffirio.mp4

    Informations sur la rencontre

    Nom de la rencontre : The Analysis of Complex Quantum Systems: Large Coulomb Systems and Related Matters / Analyse des systèmes complexes: grands systèmes coulombiens et systèmes apparentés
    Organisateurs de la rencontre : Barbaroux, Jean-Marie ; Panati, Annalisa ; Siedentop, Heinz
    Dates : 21/10/2019 - 25/10/2019
    Année de la rencontre : 2019
    URL Congrès : https://conferences.cirm-math.fr/2066.html

    Citation Data

    DOI : 10.24350/CIRM.V.19571303
    Cite this video as: Saffirio, Chiara (2019). From the many-body quantum dynamics to the Vlasov equation. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19571303
    URI : http://dx.doi.org/10.24350/CIRM.V.19571303


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