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Stochastic Electrodynamics: Lessons from Regularizing the Harmonic Oscillator

Institute for Theoretical Physics, 1098 XH Amsterdam, The Netherlands
Atoms 2019, 7(2), 59; https://doi.org/10.3390/atoms7020059
Received: 29 April 2019 / Revised: 30 May 2019 / Accepted: 9 June 2019 / Published: 10 June 2019
(This article belongs to the Special Issue Stochastic Electrodynamics)
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Abstract

In this paper, the harmonic oscillator problem in Stochastic Electrodynamics is revisited. Using the exact shape of the Lorentz damping term prevents run-away effects. After introducing a cut-off in the stochastic power spectrum and regularizing the stochastic force, all relevant integrals are dominated by resonance effects only and results are derived that stem from those in the quantum ground state. For an orbit with specific position and momentum at an initial time, the average energy and the average rate of energy change are evaluated, which stem with each other. Resonance effects are highlighted along the way. An outlook on the hydrogen ground state problem is provided. View Full-Text
Keywords: stochastic electrodynamics; harmonic oscillator; harmonic oscillator ground state stochastic electrodynamics; harmonic oscillator; harmonic oscillator ground state
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Nieuwenhuizen, T.M. Stochastic Electrodynamics: Lessons from Regularizing the Harmonic Oscillator. Atoms 2019, 7, 59.

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