Simulation of the Hydrogen Ground State in Stochastic Electrodynamics-2: Inclusion of Relativistic Corrections
- 114 Downloads
In a recent paper the authors studied numerically the hydrogen ground state in stochastic electrodynamics (SED) within the the non-relativistic approximation. In quantum theory the leading non-relativistic corrections to the ground state energy dominate the Lamb shift related to the photon cloud that should cause the quantum-like behaviour of SED. The present work takes these corrections into account in the numerical modelling. It is found that they have little effect; the self-ionisation that occurs without them remains present. It is speculated that the point-charge approximation for the electron is the cause of the failure.
KeywordsStochastic electrodynamics Hydrogen ground state Relativistic corrections Simulations OpenCL
It is a pleasure to thank Erik van Heusden for discussion.
Conflict of interest
The authors declare that they have no conflict of interest.
- 2.de la Peña, L., Cetto, A.M., Valdés Hernández, A.: The Emerging Quantum: The Physics Behind Quantum Mechanics. Springer, Berlin (2014)Google Scholar
- 5.França, H.M., Kamimura, A., Barreto, G.A.: The Schrödinger equation, the zero-point electromagnetic radiation and the photoelectric effect. (2012) arXiv:1207.4076
- 8.Nieuwenhuizen, T.M.: A subquantum arrow of time. J. Phys. 504, 012008 (2014)Google Scholar
- 12.Nieuwenhuizen, Th. M., and Liska, M. T. P.: Simulation of the hydrogen ground state in stochastic electrodynamics, (2014). Phys. Scr. to appear (2015). arXiv:1502.06856