Semi-classical limit of large fermionic systems at positive temperature

TY - JOUR

T1 - Semi-classical limit of large fermionic systems at positive temperature

AU - Lewin, Mathieu

AU - Madsen, Peter S.

AU - Triay, Arnaud

PY - 2019/9

Y1 - 2019/9

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.

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

U2 - 10.1063/1.5094397

DO - 10.1063/1.5094397

M3 - Journal article

AN - SCOPUS:85072227306

SN - 0022-2488

VL - 60

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 9

M1 - 091901

ER -