Foundations of Physics

, Volume 45, Issue 10, pp 1190–1202 | Cite as

Simulation of the Hydrogen Ground State in Stochastic Electrodynamics-2: Inclusion of Relativistic Corrections

  • Theodorus M. NieuwenhuizenEmail author
  • Matthew T. P. Liska


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.


Stochastic 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.


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Theodorus M. Nieuwenhuizen
    • 1
    • 2
    Email author
  • Matthew T. P. Liska
    • 1
  1. 1.Institute for Theoretical PhysicsAmsterdamThe Netherlands
  2. 2.International Institute of PhysicsUFRGNatalBrazil

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