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

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

Organizer(s) Barbaroux, Jean-Marie ; Panati, Annalisa ; Siedentop, Heinz

Date(s) 21/10/2019 - 25/10/2019

linked URL https://conferences.cirm-math.fr/2066.html

00:00:00 / 00:00:00

3 5

Chapters

The local density approximation in density functional theory

By Robert Seiringer

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)

Information about the video

Date of recording 21/10/2019
Date of publication 26/11/2019
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19570803
Cite this video 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

Domain(s)

Bibliography

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

MSC codes

Document(s)

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

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

54:55

published on November 26, 2019

A critical Poincaré-Sobolev inequality

By Hanne van den Bosch

45:28

published on November 26, 2019

From the many-body quantum dynamics to the Vlasov equation

By Chiara Saffirio

52:35

published on November 26, 2019

The local density approximation in density functional theory

By Robert Seiringer

48:18

published on November 26, 2019

Combined mean-field and semiclassical limits large fermionic system

By Li Chen

58:19

published on November 26, 2019

Microscopic description of Coulomb gases

By Sylvia Serfaty

Copyright Carmin.tv 2024

Give feedback