# Koopman wavefunctions and classical states in hybrid quantum-classical dynamics

@inproceedings{GayBalmaz2021KoopmanWA, title={Koopman wavefunctions and classical states in hybrid quantum-classical dynamics}, author={Franccois Gay-Balmaz and Cesare Tronci}, year={2021} }

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…

## 2 Citations

Measurement of a quantum system with a classical apparatus using ensembles on configuration space

- Physics
- 2022

Finding a physically consistent approach to modelling interactions between classical and quantum systems is a highly nontrivial task. While many proposals based on various mathematical formalisms…

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