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 Schrödinger dynamics to the one-body nonlinear Hartree dynamics with factorized initial data with two-body interaction potential $V$ in $L^3({\mathbb{R}}^3)+L^{\infty }({\mathbb{R}}^3)$.

AMS LaTex, 21 pages

References in corpus (1)

• Quantum Dynamics with Mean Field Interactions: a New Approach