Rate of Convergence in Nonlinear Hartree Dynamics with Factorized Initial Data

Details Rate of Convergence in Nonlinear Hartree Dynamics with Factorized Initial Data Rate of Convergence in Nonlinear Hartree Dynamics with Factorized Initial Data

2010-08-24

arxiv.org/abs/1008.3942v2

J. Math. Phys. 52, 052108 (2011)

Physics

Mathematical Physics

AMS LaTex, 21 pages

Scientific paper

10.1063/1.3589962

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 Schr\"{o}dinger 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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