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

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

2006-03-22

arxiv.org/abs/math-ph/0603055v1

Physics

Mathematical Physics

Latex 2e, 18 pages

Scientific paper

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.

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