Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
We 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.
83
10
1241 - 1273
1241 - 1273
Elsevier