Quasi-Classical Dynamics
Mathematical Physics
2021-04-22 v3 math.MP
Abstract
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.
Cite
@article{arxiv.1909.13313,
title = {Quasi-Classical Dynamics},
author = {M. Correggi and M. Falconi and M. Olivieri},
journal= {arXiv preprint arXiv:1909.13313},
year = {2021}
}
Comments
accepted in J. Eur. Math. Soc., 47 pages, pdfLaTex