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

@article{Gaybalmaz2022KoopmanWA, title={Koopman wavefunctions and classical states in hybrid quantum–classical dynamics}, author={Franccois Gay-balmaz and Cesare Tronci}, journal={Journal of Geometric Mechanics}, year={2022} }

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…

## 3 Citations

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

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2022

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

### Symplectic geometry and Koopman dynamics at the quantum-classical interface

- Physics
- 2022

Going back to the early days in the history of quantum mechanics, the interaction of quantum and classical systems stands among the most intriguing open questions in science and makes its appearance…

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