Next Article in Journal
Generalized Analysis of a Distribution Separation Method
Next Article in Special Issue
A Quantum Query Expansion Approach for Session Search
Previous Article in Journal
Anti-Icing Superhydrophobic Surfaces: Controlling Entropic Molecular Interactions to Design Novel Icephobic Concrete
Previous Article in Special Issue
Disentangling the Quantum World
Article Menu

Export Article

Open AccessArticle
Entropy 2016, 18(4), 135;

On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics

Institute for Theoretical Physics, P.O. Box 94485, 1098 XH Amsterdam, The Netherlands
International Institute of Physics, UFRG, Av. O. Gomes de Lima, 1722, 59078-400 Natal-RN, Brazil
Academic Editors: Gregg Jaeger and Andrei Khrennikov
Received: 19 February 2016 / Revised: 30 March 2016 / Accepted: 31 March 2016 / Published: 13 April 2016
View Full-Text   |   Download PDF [291 KB, uploaded 13 April 2016]   |  


De la Peña 1980 and Puthoff 1987 show that circular orbits in the hydrogen problem of Stochastic Electrodynamics connect to a stable situation, where the electron neither collapses onto the nucleus nor gets expelled from the atom. Although the Cole-Zou 2003 simulations support the stability, our recent numerics always lead to self-ionisation. Here the de la Peña-Puthoff argument is extended to elliptic orbits. For very eccentric orbits with energy close to zero and angular momentum below some not-small value, there is on the average a net gain in energy for each revolution, which explains the self-ionisation. Next, an 1 / r 2 potential is added, which could stem from a dipolar deformation of the nuclear charge by the electron at its moving position. This shape retains the analytical solvability. When it is enough repulsive, the ground state of this modified hydrogen problem is predicted to be stable. The same conclusions hold for positronium. View Full-Text
Keywords: Stochastic Electrodynamics; hydrogen ground state; stability criterion Stochastic Electrodynamics; hydrogen ground state; stability criterion

Figure 1

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. On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics. Entropy 2016, 18, 135.

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]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top