Self-interacting quantum electron
General Physics
2011-03-10 v4
Abstract
A model of self-interacting quantum non-local Dirac's electron has been proposed. Its dynamics was revealed by the projective representation of operators corresponding to spin/charge degrees of freedom. Energy-momentum field is described by the system of quasi-linear "field-shell" PDE's following from the conservation law expressed by the affine parallel transport of the energy momentum vector field in CP(3). I discuss here travel-wave solutions of these equations and the "off-shell" dispersion law asymptotically coinciding with the "on-shell" de Broglie dispersion law.
Cite
@article{arxiv.0904.3695,
title = {Self-interacting quantum electron},
author = {Peter Leifer},
journal= {arXiv preprint arXiv:0904.3695},
year = {2011}
}
Comments
33 pages, LaTeX, changed content, 7 figures, corrections, references added