62 citations · 335 across the 24 of their papers we have counts for
4 papers · 1 filter
Convergence of states for polaron models in the classical limit
Marco Falconi, Alessandro Olgiati, Nicolas Rougerie
We consider the quasi-classical limit of Nelson-type regularized polaron models describing a particle interacting with a quantized bosonic field. We break translation-invariance by…
Towards a derivation of Classical ElectroDynamics of charges and fields from QED
Zied Ammari, Marco Falconi, Fumio Hiroshima
The purpose of this article is twofold. On one hand, we rigorously derive the Newton--Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in agre…
Wigner measures approach to the classical limit of the Nelson model: Convergence of dynamics and ground state energy
Zied Ammari, Marco Falconi
We consider the classical limit of the Nelson model, a system of stable nucleons interacting with a meson field. We prove convergence of the quantum dynamics towards the evolution…
Global Solution of the Electromagnetic Field-Particle System of Equations
Marco Falconi
In this paper we discuss global existence of the solution of the Maxwell and Newton system of equations, describing the interaction of a rigid charge distribution with the electrom…