The paper “Evolution of hybrid quantum-classical wavefunctions“, co-authored by François Gay-Balmaz (Ecole Normale SupĂ©rieure, Paris) and Cesare Tronci, has been accepted for publication in Physica D. In the paper, a gauge-invariant wave equation for the dynamics of hybrid quantum-classical systems is formulated by combining the variational setting of Lagrangian paths in continuum theories with Koopman wavefunctions in classical mechanics. The final-form preprint is available on the arXiv (link here). The image below shows the quantum-classical Poincare’ invariant equation.
![](https://blogs.surrey.ac.uk/mathsresearch/wp-content/uploads/sites/11/2022/07/A-integral.png)