Quantum Abraham models with de Broglie-Bohm laws of quantum motion
Abstract
We discuss a class of quantum Abraham models in which the N-particle spinor wave function of N electrons solves a Pauli respectively Schroedinger equation, featuring regularized classical electromagnetic potentials which solve the semi-relativistic Maxwell-Lorentz equations for regularized point charges, which move according to some de Broglie-Bohm law of quantum motion. Thus there is a feedback loop from the actual particle motions to the wave function. The electrons have a bare charge and positive bare mass different from their empirical charge and mass due to renormalization by the self-fields. In the classical limit the various models reduce to the Hamilton-Jacobi version of corresponding Abraham models of classical electron theory.
Cite
@article{arxiv.physics/0604069,
title = {Quantum Abraham models with de Broglie-Bohm laws of quantum motion},
author = {Michael K. -H. Kiessling},
journal= {arXiv preprint arXiv:physics/0604069},
year = {2009}
}
Comments
24 pages, 1 typo corrected (in four places), and appendix added which answers a question raised in the published version