Effective dynamics of an electron coupled to an external potential in non-relativistic QED
Mathematical Physics
2018-03-28 v3 math.MP
Abstract
In the framework of non-relativistic QED, we show that the renormalized mass of the electron (after having taken into account radiative corrections) appears as the kinematic mass in its response to an external potential force. Specifically, we study the dynamics of an electron in a slowly varying external potential and with slowly varying initial conditions and prove that, for a long time, it is accurately described by an associated effective dynamics of a Schr\"odinger electron in the same external potential and for the same initial data, with a kinetic energy operator determined by the renormalized dispersion law of the translation-invariant QED model.
Keywords
Cite
@article{arxiv.1202.3189,
title = {Effective dynamics of an electron coupled to an external potential in non-relativistic QED},
author = {Volker Bach and Thomas Chen and Jeremy Faupin and Juerg Froehlich and Israel Michael Sigal},
journal= {arXiv preprint arXiv:1202.3189},
year = {2018}
}
Comments
22 pages, AMS Latex