Rate of Convergence Towards Hartree Dynamics
Mathematical Physics
2015-05-27 v1 math.MP
Abstract
We consider a system of N bosons interacting through a two-body potential with, possibly, Coulomb-type singularities. We show that the difference between the many-body Schr\"odinger evolution in the mean-field regime and the effective nonlinear Hartree dynamics is at most of the order 1/N, for any fixed time. The N-dependence of the bound is optimal.
Keywords
Cite
@article{arxiv.1103.0948,
title = {Rate of Convergence Towards Hartree Dynamics},
author = {Li Chen and Ji Oon Lee and Benjamin Schlein},
journal= {arXiv preprint arXiv:1103.0948},
year = {2015}
}
Comments
26 pages