H 2 The local density approximation in density functional theory

Auteurs : Seiringer, Robert (Auteur de la Conférence)
CIRM (Editeur )

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Density functional theory Local density approximation Uniform electron gas Exchange-correlation energy Locality of the indirect energy Graf-Schenker inequality Tensor products

Résumé : We present a mathematically rigorous justification of the Local Density Approximation in density functional theory. We provide a quantitative estimate on the difference between the grand-canonical Levy-Lieb energy of a given density (the lowest possible energy of all quantum states having this density) and the integral over the Uniform Electron Gas energy of this density. The error involves gradient terms and justifies the use of the Local Density Approximation in situations where the density is very flat on sufficiently large regions in space. (Joint work with Mathieu Lewin and Elliott Lieb)

Keywords : density functional theory; uniform electron gas

Codes MSC :
81V70 - Many-body theory; quantum Hall effect
82B03 - Foundations
49K21 - Problems involving relations other than differential equations

Ressources complémentaires :

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 26/11/2019
    Date de captation : 21/10/2019
    Collection : Research talks ; Mathematical Physics
    Format : MP4 (.mp4) - HD
    Durée : 00:52:35
    Domaine : Mathematical Physics
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2019-10-21_Seiringer.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.19570803
Cite this video as: Seiringer, Robert (2019). The local density approximation in density functional theory. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19570803
URI : http://dx.doi.org/10.24350/CIRM.V.19570803

Voir aussi


  • LEWIN, Mathieu, LIEB, Elliott H., et SEIRINGER, Robert. The Local Density Approximation in Density Functional Theory. arXiv preprint arXiv:1903.04046, 2019. - https://arxiv.org/abs/1903.04046

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