Probing quantum vacuum fluctuations over a charged particle near a reflecting wall

TL;DR

This paper studies how quantum vacuum fluctuations affect a charged particle near a reflecting wall, showing that the effects can be regularized and potentially observed experimentally.

Contribution

It introduces a new regularization approach for analyzing vacuum fluctuation effects on a charged particle near a wall, avoiding divergences in previous models.

Findings

Velocity dispersions are smooth functions of time.

Maximum effects occur when measuring time matches the light round-trip time.

Regularization removes divergences present in earlier models.

Abstract

We investigate the influence of the vacuum fluctuations of a background electric field over a charged test particle in the presence of a perfectly reflecting flat wall. A switching function connecting different stages of the system is implemented in such a way that its functional dependence is determined by the ratio between the measuring time and the switching duration. The dispersions of the velocity components of the particle are found to be smooth functions of time, and have maximum magnitudes for a measuring time corresponding to about one round trip of a light signal between the particle and the wall. Typical divergences reported in the literature and linked with an oversimplification in modeling this system are naturally regularized in our approach. Estimates suggest that this sort of manifestation of quantum vacuum fluctuations over the motion of the particle could be tested in laboratories.