Classical Tunneling from the Lorentz-Dirac Equation
High Energy Physics - Theory
2007-05-23 v1 Astrophysics
High Energy Physics - Phenomenology
Abstract
The classical equation of motion of a charged point particle, including its radiation reaction, is described by the Lorentz-Dirac equation. We found a new class of solutions that describe tunneling (in a completely classical context!). For nonrelativistic electrons and a square barrier, the solution is elementary and explicit. We show the persistance of the solution for smoother potentials. For a large range of initial velocities, initial conditions may leave a (discrete) ambiguity on the resulting motion.
Cite
@article{arxiv.hep-th/9602066,
title = {Classical Tunneling from the Lorentz-Dirac Equation},
author = {Frederik Denef and Joris Raeymaekers and Urban M. Studer and Walter Troost},
journal= {arXiv preprint arXiv:hep-th/9602066},
year = {2007}
}
Comments
9 pages, REVTEX, one eps-figure