Next Article in Journal
The Electron Impact Ionization Cross Sections of Methanol, Ethanol and 1-Propanol
Previous Article in Journal
The Role of Relativistic Many-Body Theory in Electron Electric Dipole Moment Searches Using Cold Molecules
Previous Article in Special Issue
Extraction of Zero-Point Energy from the Vacuum: Assessment of Stochastic Electrodynamics-Based Approach as Compared to Other Methods
Article Menu
Issue 2 (June) cover image

Export Article

Open AccessArticle

Stochastic Electrodynamics: Lessons from Regularizing the Harmonic Oscillator

Institute for Theoretical Physics, 1098 XH Amsterdam, The Netherlands
Atoms 2019, 7(2), 59;
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)
PDF [276 KB, uploaded 26 June 2019]


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).

Share & Cite This Article

MDPI and ACS Style

Nieuwenhuizen, T.M. Stochastic Electrodynamics: Lessons from Regularizing the Harmonic Oscillator. Atoms 2019, 7, 59.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Atoms EISSN 2218-2004 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top