30 55 v 1 2 2 M ar 2 00 6 MEAN-FIELD-AND CLASSICAL LIMIT OF MANY-BODY SCHRÖDINGER DYNAMICS FOR BOSONS

@inproceedings{Froehlich2006305V,
  title={30 55 v 1 2 2 M ar 2 00 6 MEAN-FIELD-AND CLASSICAL LIMIT OF MANY-BODY SCHR{\"O}DINGER DYNAMICS FOR BOSONS},
  author={Juerg Froehlich and Sandro Graffi and Simon Schwarz},
  year={2006}
}
Abstract We present a new proof of the convergence of the N−particle Schrödinger 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 ~, up to an exponentially small remainder. For ~ = 0, the classical dynamics in the mean-field limit is given by the Vlasov equation.