Mean-Field- and Classical Limit of Many-Body Schr\"odinger Dynamics for Bosons
Mathematical Physics
2016-08-16 v1 math.MP
Abstract
We present a new proof of the convergence of the N-particle Schroedinger dynamics for bosons towards the dynamics generated by the Hartree equation in the mean-field limit. For a restricted class of two-body interactions, we obtain convergence estimates uniform in the Planck constant , up to an exponentially small remainder. For h=0, the classical dynamics in the mean-field limit is given by the Vlasov equation.
Keywords
Cite
@article{arxiv.math-ph/0603055,
title = {Mean-Field- and Classical Limit of Many-Body Schr\"odinger Dynamics for Bosons},
author = {Juerg Froehlich and Sandro Graffi and Simon Schwarz},
journal= {arXiv preprint arXiv:math-ph/0603055},
year = {2016}
}
Comments
Latex 2e, 18 pages