Semi-classical limit of large fermionic systems at positive temperature - Archive ouverte HAL
Article Dans Une Revue Journal of Mathematical Physics Année : 2019

Semi-classical limit of large fermionic systems at positive temperature

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 semi-classical parameter $\hbar = N^{−1/d}$ where $d$ is the space dimension, we prove the convergence to the corresponding Thomas-Fermi model at positive temperature .
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Dates et versions

hal-02007704 , version 1 (05-02-2019)

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Mathieu Lewin, Peter S Madsen, Arnaud Triay. Semi-classical limit of large fermionic systems at positive temperature. Journal of Mathematical Physics, 2019, 60, pp.091901. ⟨10.1063/1.5094397⟩. ⟨hal-02007704⟩
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