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

Research output: Contribution to journal › Article › 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.

Original language	English
Article number	091901
Journal	Journal of Mathematical Physics
Volume	60
Issue number	9
DOIs	https://doi.org/10.1063/1.5094397
Publication status	Published - 1 Sept 2019
Externally published	Yes

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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

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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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