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

4 5

Combined mean-field and semiclassical limits large fermionic system

In this talk I will present the approach that using time evolution of Husimi measure of the N particle wave function to get the convergence of Schrödinger to Vlasov equation in the mean field and semiclassical regime. By a reformulation of the many particle Schrödinger equation, one can get a Vlasov ‘like’ kinetic equation for Husimi measure. Then the convergence will be obtained by doing appropriate error estimates in comparing these two dynamics. In this first stage result, the estimates have been obtained for regular solutions. This is a joint work with Jinyeop Lee and Matthew Liew.

Information about the video

Date of recording 24/10/2019
Date of publication 26/11/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19571503
Cite this video Chen, Li (24/10/2019). Combined mean-field and semiclassical limits large fermionic system. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19571503
URL https://dx.doi.org/10.24350/CIRM.V.19571503

Domain(s)

Mathematical Physics

Bibliography

CHEN, Li, LEE, Jinyeop, et LIEW, Matthew. Combined mean-field and semiclassical limits of large fermionic systems. arXiv preprint arXiv:1910.09892, 2019. - https://arxiv.org/abs/1910.09892

MSC codes

Document(s)

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

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