2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57572We consider a system of N weakly interacting fermions with a real analytic pair interaction. We prove that for a general class of initial data there exists a fixed time T such that the difference between the one particle density matrix of this system and the solution of the non-linear Hartree equation is of order 1/N for any time t less or equal T.latex file, 31 pagesMathematical Physics35Q55, 45F15, 81Q05, 81V70text