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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Numéro d'article	091901
journal	Journal of Mathematical Physics
Volume	60
Numéro de publication	9
Les DOIs	https://doi.org/10.1063/1.5094397
état	Publié - 1 sept. 2019
Modification externe	Oui

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10.1063/1.5094397

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title = "Semi-classical limit of large fermionic systems at positive temperature",

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.",

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AU - Madsen, Peter S.

AU - Triay, Arnaud

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N2 - 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.

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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U2 - 10.1063/1.5094397

DO - 10.1063/1.5094397

M3 - Article

AN - SCOPUS:85072227306

SN - 0022-2488

VL - 60

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 9

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ER -

Semi-classical limit of large fermionic systems at positive temperature

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