97 citations · 446 across the 19 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math-ph2014
Mean-field Evolution of Fermionic Mixed States
Niels Benedikter, Vojkan Jaksic, Marcello Porta +2
In this paper we study the dynamics of fermionic mixed states in the mean-field regime. We consider initial states which are close to quasi-free states and prove that, under suitab…
math-ph2014
Hartree-Fock dynamics for weakly interacting fermions
Niels Benedikter, Marcello Porta, Benjamin Schlein
We review recent results concerning the evolution of fermionic systems. We are interested in the mean field regime, where particles experience many weak collisions. For fermions, t…
math-ph2014
Deriving the Gross-Pitaevskii equation
Niels Benedikter
In experiments, Bose-Einstein condensates are prepared by cooling a dilute Bose gas in a trap. After the phase transition has been reached, the trap is switched off and the evoluti…