Elgart, AlexanderErdos, LaszloSchlein, BenjaminYau, Horng-Tzer2020-04-132004Elgart, Alexander, László Erdős, Benjamin Schlein, and Horng-Tzer Yau. 2004. Nonlinear Hartree Equation as the Mean Field Limit of Weakly Coupled Fermions. Journal de Mathématiques Pures et Appliquées 83, no. 10: 1241–1273.0021-7824http://nrs.harvard.edu/urn-3:HUL.InstRepos:42659245We 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 nonlinear Hartree equation is of order N−1 for any time t⩽T.en-USNonlinear Vlasov equationMean field system of fermionsBBGKY hierarchyHartree–Fock theoryJournal Article2020-04-1310.1016/j.matpur.2004.03.006