@article{2736,
abstract = {We consider the time evolution of N bosonic particles interacting via a mean field Coulomb potential. Suppose the initial state is a product wavefunction. We show that at any finite time the correlation functions factorize in the limit N → ∞. Furthermore, the limiting one particle density matrix satisfies the nonlinear Hartree equation. The key ingredients are the uniqueness of the BBGKY hierarchy for the correlation functions and a new apriori estimate for the many-body Schrödinger equations.},
author = {Erdös, László and Yau, Horng},
issn = {1095-0761},
journal = {Advances in Theoretical and Mathematical Physics},
number = {6},
pages = {1169 -- 1205},
publisher = {International Press},
title = {{Derivation of the nonlinear Schrödinger equation from a many body Coulomb system}},
doi = {10.48550/arXiv.math-ph/0111042},
volume = {5},
year = {2001},
}