Classical Tunneling from the Lorentz-Dirac Equation

Details Classical Tunneling from the Lorentz-Dirac Equation Classical Tunneling from the Lorentz-Dirac Equation

1996-02-13

arxiv.org/abs/hep-th/9602066v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, REVTEX, one eps-figure

Scientific paper

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.

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