We present a new proof of the convergence of the N-particle Schroedinger dynamics for bsons 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 h, up to an exponentially small remainder. For h=0, the classical dynamics in the mean-field limit is given by the Vlasov equation.

Mean-Field and Classical Limit of Many-Body Schroedinger Dynamics for Bosons

GRAFFI, SANDRO;
2007

Abstract

We present a new proof of the convergence of the N-particle Schroedinger dynamics for bsons 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 h, up to an exponentially small remainder. For h=0, the classical dynamics in the mean-field limit is given by the Vlasov equation.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/53954
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