English
Classical and quantum particles coupled to a vibrational environment
Virtualconference
Auteurs : Goudon, Thierry (Auteur de la Conférence)
CIRM (Editeur )
35Q40 - PDEs in connection with quantum mechanics
35Q51 - Soliton-like equations
35Q55 - NLS-like equations (nonlinear Schrödinger)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Thierry_GOUDON.pdf
CIRM (Editeur )
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Résumé :
It is possible to model dissipation effects subjected by a particle by interactions between the particle and its environment. This seminal idea dates back to Caldeira-Leggett in the '80ies. The specific case of a particle interacting with vibrational degrees of freedom has been thoroughsly investigated by S. De Bièvre and his collaborators. We will go back to these issues in the framework of kinetic equations, and also consider quantum versions of the problem based on couplings with the Schrödinger equation. We are particularly interested in stability issues. We will describe ; through rigorous statements and numerical experiments, analogies and differences with the case of a single classical particle and with the standard coupling with the Poisson equation.
Codes MSC : 35Q40 - PDEs in connection with quantum mechanics
35Q51 - Soliton-like equations
35Q55 - NLS-like equations (nonlinear Schrödinger)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Thierry_GOUDON.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 09/04/2021 Date de captation : 25/03/2021 Sous collection : Research talks arXiv category : Analysis of PDEs ; Mathematical Physics Domaine : Analysis and its Applications ; Mathematical Physics Format : MP4 (.mp4) - HD Durée : 00:32:38 Audience : Researchers Download : https://videos.cirm-math.fr/2021-03-25_Goudon.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseOrganisateurs de la rencontre : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Année de la rencontre : 2021 URL Congrès : https://www.chairejeanmorlet.com/2355.html
Données de citation
DOI : 10.24350/CIRM.V.19734003Citer cette vidéo: Goudon, Thierry (2021). Classical and quantum particles coupled to a vibrational environment. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19734003 URI : http://dx.doi.org/10.24350/CIRM.V.19734003 |
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