On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics
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 rec...
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MDPI AG
2016-04-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/18/4/135 |
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doaj-43c2ede6741a40dfaaf6b251432df7b62020-11-24T23:14:52ZengMDPI AGEntropy1099-43002016-04-0118413510.3390/e18040135e18040135On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic ElectrodynamicsTheodorus M. Nieuwenhuizen0Institute for Theoretical Physics, P.O. Box 94485, 1098 XH Amsterdam, The NetherlandsDe 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.http://www.mdpi.com/1099-4300/18/4/135Stochastic Electrodynamicshydrogen ground statestability criterion |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Theodorus M. Nieuwenhuizen |
| spellingShingle |
Theodorus M. Nieuwenhuizen On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics Entropy Stochastic Electrodynamics hydrogen ground state stability criterion |
| author_facet |
Theodorus M. Nieuwenhuizen |
| author_sort |
Theodorus M. Nieuwenhuizen |
| title |
On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics |
| title_short |
On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics |
| title_full |
On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics |
| title_fullStr |
On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics |
| title_full_unstemmed |
On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics |
| title_sort |
on the stability of classical orbits of the hydrogen ground state in stochastic electrodynamics |
| publisher |
MDPI AG |
| series |
Entropy |
| issn |
1099-4300 |
| publishDate |
2016-04-01 |
| description |
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. |
| topic |
Stochastic Electrodynamics hydrogen ground state stability criterion |
| url |
http://www.mdpi.com/1099-4300/18/4/135 |
| work_keys_str_mv |
AT theodorusmnieuwenhuizen onthestabilityofclassicalorbitsofthehydrogengroundstateinstochasticelectrodynamics |
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1725593007602794496 |