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Chapitres

The local density approximation in density functional theory

De Robert Seiringer

Apparaît dans la collection : The Analysis of Complex Quantum Systems: Large Coulomb Systems and Related Matters / Analyse des systèmes complexes: grands systèmes coulombiens et systèmes apparentés

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)

Informations sur la vidéo

Date de captation 21/10/2019
Date de publication 26/11/2019
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19570803
Citer cette vidéo Seiringer, Robert (21/10/2019). The local density approximation in density functional theory. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19570803
URL https://dx.doi.org/10.24350/CIRM.V.19570803

Domaine(s)

Bibliographie

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

Codes MSC

Document(s)

https://www.cirm-math.fr/RepOrga/2066/Slides/Seiringer2019.pdf

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