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.
J.Froehlich, S.Graffi, S:Schwarz (2007). Mean-Field and Classical Limit of Many-Body Schroedinger Dynamics for Bosons. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 271, 681-697 [10.1007/s00220-007-0207-5].
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.File in questo prodotto:
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