Rate of Convergence Towards Hartree Dynamics

Details Rate of Convergence Towards Hartree Dynamics Rate of Convergence Towards Hartree Dynamics

2011-03-04

arxiv.org/abs/1103.0948v1

Physics

Mathematical Physics

26 pages

Scientific paper

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.

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