Koopman wavefunctions and classical states in hybrid quantum–classical dynamics

  title={Koopman wavefunctions and classical states in hybrid quantum–classical dynamics},
  author={Franccois Gay-balmaz and Cesare Tronci},
  journal={Journal of Geometric Mechanics},
We deal with the reversible dynamics of coupled quantum and classical systems. Based on a recent proposal by the authors, we exploit the theory of hybrid quantum–classical wavefunctions to devise a closure model for the coupled dynamics in which both the quantum density matrix and the classical Liouville distribution retain their initial positive sign. In this way, the evolution allows identifying a classical and a quantum state in interaction at all times, thereby addressing a series of… 

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