Simulation of the hydrogen ground state in Stochastic Electrodynamics-2: Inclusion of relativistic corrections

Abstract

In a recent paper [arXiv:1502.06856] 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.

Published version, with proper title. 12 pages, 4 figures

Cited by in corpus (4)

• Stochastic Electrodynamics: The Closest Classical Approximation to Quantum Theory
• On the stability of classical orbits of the hydrogen ground state in Stochastic Electrodynamics
• Relativity and Radiation Balance for the Classical Hydrogen Atom in Classical Electromagnetic Zero-Point Radiation
• The Role of Vacuum Fluctuations and Symmetry in the Hydrogen Atom in Quantum Mechanics and Stochastic Electrodynamics (SED)