Li Chen, Ji Oon Lee, Benjamin Schlein
Published 2011-03-04Version 1
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.
Rate of Convergence Towards Semi-Relativistic Hartree Dynamics
On the time dependency of the rate of convergence towards Hartree dynamics for interacting Bosons
Rate of convergence towards equations of Hartree type for mixture condensates with factorized initial data
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