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Tunneling as a classical escape rate induced by the vacuum zero-point radiation

A. J. Faria·H. M. Franca·R. C. Sponchiado
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Abstract

We make a brief review of the Kramers escape rate theory for the probabilistic motion of a particle in a potential well U(x), and under the influence of classical fluctuation forces. The Kramers theory is extended in order to take into account the action of the thermal and zero-point random electromagnetic fields on a charged particle. The result is physically relevant because we get a non null escape rate over the potential barrier at low temperatures (T -> 0). It is found that, even if the mean energy is much smaller than the barrier height, the classical particle can escape from the potential well due to the action of the zero-point fluctuating fields. These stochastic effects can be used to give a classical interpretation to some quantum tunneling phenomena. Relevant experimental data are used to illustrate the theoretical results.

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A. J. Faria, H. M. Franca, R. C. Sponchiado. 2004-09-17. Tunneling as a classical escape rate induced by the vacuum zero-point radiation. https://arxiv.org/abs/quant-ph/0409119

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