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 (2)

• Mean-Field Dynamics: Singular Potentials and Rate of Convergence
• Quantum Dynamics with Mean Field Interactions: a New Approach

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