9 citations · 22 across the 5 of their papers we have counts for
5 papers
On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas
Peter S. Madsen, Phan Thành Nam, Herbert Spohn +1
This paper is devoted to the dynamics of a weakly interacting Fermi gas at the kinetic time regime where is the strength of the interaction potential. We pr…
Classical Density Functional Theory: The Local Density Approximation
Michal Jex, Mathieu Lewin, Peter Madsen
We prove that the lowest free energy of a classical interacting system at temperature with a prescribed density profile can be approximated by the local free energy $\in…
Classical Density Functional Theory: Representability and Universal Bounds
Michal Jex, Mathieu Lewin, Peter S. Madsen
We provide upper and lower bounds on the lowest free energy of a classical system at given one-particle density . We study both the canonical and grand-canonical cases, assum…
Semi-classical limit of confined fermionic systems in homogeneous magnetic fields
Søren Fournais, Peter S. Madsen
We consider a system of interacting fermions in confined by an external potential and in the presence of a homogeneous magnetic field. The intensity of the i…
Semi-classical limit of large fermionic systems at positive temperature
Mathieu Lewin, Peter S. Madsen, Arnaud Triay
We study a system of interacting fermions at positive temperature in a confining potential. In the regime where the intensity of the interaction scales as and with an eff…