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 / J.Froehlich;S.Graffi;S:Schwarz. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 271:(2007), pp. 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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