Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Relativistic hydrogen in classical electrodynamics with classical zero-point radiation

Timothy H. Boyer

Abstract

Classical electrodynamics including classical electromagnetic zero-point radiation leads to a ground state and resonant excited states for a charged particle in a Coulomb potential. These resonant states correspond to integer values of the action variables analogous to those appearing in the Bohr-Sommerfeld theory of the hydrogen atom. The work on classical zero-point radiation reported here is a continuation of the analysis reported in 1975, but with the addition of the ideas of relativity and resonance between the charged-particle orbit and classical zero-point radiation.

Relativistic hydrogen in classical electrodynamics with classical zero-point radiation

Abstract

Classical electrodynamics including classical electromagnetic zero-point radiation leads to a ground state and resonant excited states for a charged particle in a Coulomb potential. These resonant states correspond to integer values of the action variables analogous to those appearing in the Bohr-Sommerfeld theory of the hydrogen atom. The work on classical zero-point radiation reported here is a continuation of the analysis reported in 1975, but with the addition of the ideas of relativity and resonance between the charged-particle orbit and classical zero-point radiation.
Paper Structure (24 sections, 79 equations)

This paper contains 24 sections, 79 equations.

Table of Contents

  1. Introduction
  2. Old Quantum Theory
  3. Classical Electrodynamics with Classical Zero-Point Radiation
  4. Resonant Phenomena in Classical Zero-Point Radiation
  5. Coulomb Potential
  6. Relativistic Charged Particle in a Coulomb Potential
  7. Mechanical System Hamiltonian
  8. Orbit and Energy
  9. Action-Angle Variables
  10. Energy, Frequency, and Eccentricity in Terms of Action-Angle Variables
  11. Circular Orbit
  12. Interaction with Classical Electromagnetic Zero-Point Radiation
  13. Need for Classical Electromagnetic Zero-Point Radiation
  14. Integer Values Associated with Radiation
  15. Classical Electromagnetic Radiation
  16. ...and 9 more sections