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From the many-body quantum dynamics to the Vlasov equation

By Chiara Saffirio

We review some results on the joint mean-field and semiclassical limit of the fermionic N-body Schrödinger dynamics leading to the Vlasov equation, which is a model in kinetic theory for charged or gravitating particles. The results we present include the case of singular interactions and provide explicit estimates on the convergence rate, using the Hartree-Fock theory for interacting fermions as a bridge between many-body and Vlasov dynamics.

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Citation data

  • DOI 10.24350/CIRM.V.19571303
  • Cite this video Saffirio, Chiara (23/10/2019). From the many-body quantum dynamics to the Vlasov equation. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19571303
  • URL https://dx.doi.org/10.24350/CIRM.V.19571303

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