Rate of convergence in nonlinear Hartree dynamics with factorized initial data

Abstract

The mean field dynamics of an N-particle weekly interacting Boson system can be described by the nonlinear Hartree equation. In this paper, we present estimates on the 1/N rate of convergence of many-body Schrodinger dynamics to the one-body nonlinear Hartree dynamics with factorized initial data with two-body interaction potential V in L(3)(R(3)) + L(infinity)(R(3)). (C) 2011 American Institute of Physics. [doi:10.1063/1.3589962]