For three-dimensional interacting fermions at zero temperature, the ground-state Wigner function approaches Thomas-Fermi theory in trace norm at rate N times a positive power of the semi-classical parameter, with Coulomb interactions allowed.
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The quantitative semi-classical limit of a large Fermi system at zero temperature
For three-dimensional interacting fermions at zero temperature, the ground-state Wigner function approaches Thomas-Fermi theory in trace norm at rate N times a positive power of the semi-classical parameter, with Coulomb interactions allowed.