Classical limit of the Pauli-Fierz dynamics
Mathematical Physics
2026-05-04 v1 Analysis of PDEs
math.MP
Abstract
We study the Schr\"odinger evolution generated by the Pauli-Fierz Hamiltonian, a model for nonrelativistic quantum electrodynamics, in the classical limit . In this regime, we rigorously derive the Newton-Maxwell equations of classical electrodynamics as effective dynamics approximating the time evolution. Our result complements prior work by an alternative derivation that provides explicit estimates on the rate of convergence, justifying the validity of the approximation for a special class of initial data.
Keywords
Cite
@article{arxiv.2605.00228,
title = {Classical limit of the Pauli-Fierz dynamics},
author = {Lucas Jougla and Nikolai Leopold},
journal= {arXiv preprint arXiv:2605.00228},
year = {2026}
}