Semi-classical limit of large fermionic systems at positive temperature

Mathieu Lewin; Peter S. Madsen; Arnaud Triay

doi:10.1063/1.5094397

Semi-classical limit of large fermionic systems at positive temperature

Mathieu Lewin, Peter S. Madsen, Arnaud Triay

Institut for Matematik

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

Abstract

We study a system of N interacting fermions at positive temperature in a confining potential. In the regime where the intensity of the interaction scales as 1/N and with an effective semiclassical parameter ℓ = N^-1/d where d is the space dimension, we prove the convergence to the corresponding Thomas-Fermi model at positive temperature.

Originalsprog	Engelsk
Artikelnummer	091901
Tidsskrift	Journal of Mathematical Physics
Vol/bind	60
Nummer	9
ISSN	0022-2488
DOI	https://doi.org/10.1063/1.5094397
Status	Udgivet - sep. 2019

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10.1063/1.5094397

https://arxiv.org/pdf/1902.00310.pdf

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http://www.scopus.com/inward/record.url?scp=85072227306&partnerID=8YFLogxK

Semiclassical Quantum Mechanics
Fournais, S. (PI), Madsen, P. (Deltager), Mikkelsen, S. (Deltager), Miqueu, J.-P. C. (Deltager) & Bley, G. (Deltager)
01/07/2015 → 31/12/2020
Projekter: Projekt › Forskning

Citationsformater

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AB - We study a system of N interacting fermions at positive temperature in a confining potential. In the regime where the intensity of the interaction scales as 1/N and with an effective semiclassical parameter ℓ = N-1/d where d is the space dimension, we prove the convergence to the corresponding Thomas-Fermi model at positive temperature.

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Semi-classical limit of large fermionic systems at positive temperature

Abstract

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Fingeraftryk

Projekter

Semiclassical Quantum Mechanics

Citationsformater