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Zeeman effect in hydrogen treated in classical physics with classical zero-point radiation

Timothy H. Boyer

Abstract

The Zeeman effect for the low resonant energy states of hydrogen is treated with classical electrodynamics including classical zero-point radiation. The electron is regarded as a classical charged particle in a Coulomb potential. The "space quantization" of old quantum theory, the Sommerfeld relativistic result, and the Stern-Gerlach experiment are all considered.

Zeeman effect in hydrogen treated in classical physics with classical zero-point radiation

Abstract

The Zeeman effect for the low resonant energy states of hydrogen is treated with classical electrodynamics including classical zero-point radiation. The electron is regarded as a classical charged particle in a Coulomb potential. The "space quantization" of old quantum theory, the Sommerfeld relativistic result, and the Stern-Gerlach experiment are all considered.
Paper Structure (11 sections, 10 equations)

This paper contains 11 sections, 10 equations.

Table of Contents

  1. Introduction
  2. Effects of a Magnetic Field on Classical Orbits
  3. Model for Hydrogen
  4. Special Case $m=0$
  5. The Zeeman Effect in Hydrogen
  6. Ground State
  7. Zeeman Effect for Excited States of Hydrogen
  8. Fine Structure of Hydrogen
  9. Zeeman Effect for Bohr's $n=2$ Levels
  10. Stern-Gerlach Experiment
  11. Closing Comments