Communications in Mathematical Physics

, Volume 271, Issue 3, pp 681–697 | Cite as

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

Article

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 \({\hbar}\) , up to an exponentially small remainder. For \({\hbar = 0}\) , the classical dynamics in the mean-field limit is given by the Vlasov equation.

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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Theoretische PhysikETH ZürichZürichSwitzerland
  2. 2.Dipartimento di MatematicaUniversità di BolognaBolognaItaly

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