Quasi-Classical Dynamics


JEMS 2022, online first

The published version is available under subscription at EMS press.

arXiv 1909.13313

The preprint in pdf is available at arXiv.org.


The bibtex entry for the article can be downloaded here.


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.