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arXiv · 1008.3942

Rate of Convergence in Nonlinear Hartree Dynamics with Factorized Initial Data

Li Chen·Ji Oon Lee
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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 $L^3 (\mathbb{R}^3)+ L^{\infty} (\mathbb{R}^3)$.

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Li Chen, Ji Oon Lee. 2011-05-11. Rate of Convergence in Nonlinear Hartree Dynamics with Factorized Initial Data. https://doi.org/10.1063/1.3589962

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