Rate of Convergence Towards Hartree Dynamics
arXiv:1103.0948 · doi:10.1007/s10955-011-0283-y
Abstract
We consider a system of N bosons interacting through a two-body potential with, possibly, Coulomb-type singularities. We show that the difference between the many-body Schrödinger evolution in the mean-field regime and the effective nonlinear Hartree dynamics is at most of the order 1/N, for any fixed time. The N-dependence of the bound is optimal.
26 pages