42 citations · 115 across the 18 of their papers we have counts for
4 papers · 2 filters
The Scott correction in Dirac-Fock theory
Soeren Fournais, Mathieu Lewin, Arnaud Triay
We give the first derivation of the Scott correction in the large- expansion of the energy of an atom in Dirac-Fock theory without projections.
Existence of minimizers in generalized Gross-Pitaevskii theory with the Lee-Huang-Yang correction
Arnaud Triay
We study the dipolar Gross-Piteavskii functional with the Lee-Huang-Yang (LHY) correction term without trapping potential and in the regime where the dipole-dipole interaction domi…
Derivation of the time-dependent Gross-Pitaevskii equation for the dipolar gases
Arnaud Triay
We derive the time-dependent dipolar Gross-Pitaevskii (GP) equation from the N-body Schr{ö}dinger equation. More precisely we show a norm approximation for the solution of the many…
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…