English

Quantum Abraham models with de Broglie-Bohm laws of quantum motion

Atomic Physics 2009-11-11 v2 General Physics

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.

Keywords

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

R2 v1 2026-07-22T19:09:42.014Z