Quasi-classical dynamics

  • Michele Correggi

    Politecnico di Milano, Italy
  • Marco Falconi

    Politecnico di Milano, Italy
  • Marco Olivieri

    Karlsruher Institut für Technologie, Germany
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We study quantum particles in interaction with a force-carrying field, in the quasi-classical limit. This limit is characterized by the field having a very large number of excitations (it is therefore macroscopic), while the particles retain their quantum nature. We prove that the interacting microscopic dynamics converges, in the quasi-classical limit, to an effective dynamics where the field acts as a classical environment that drives the quantum particles.

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Michele Correggi, Marco Falconi, Marco Olivieri, Quasi-classical dynamics. J. Eur. Math. Soc. 25 (2023), no. 2, pp. 731–783

DOI 10.4171/JEMS/1197