International Journal of Theoretical Physics

, Volume 2, Issue 4, pp 373–379 | Cite as

Solutions of Maxwell's equations for charge moving with the speed of light

  • W. B. Bonnor
Article

Abstract

It is shown that Maxwell's equations admit solutions for charge moving with the speed of light. These are globally regular, but if the charge is one of sign only, the total energy is infinite. However, if equal amounts of positive and negative charge are present, the total energy can be finite, and such solutions seem physically unobjectionable.

Keywords

Field Theory Total Energy Elementary Particle Quantum Field Theory Negative Charge 

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References

  1. Bateman, H. (1915).The Mathematical Analysis of Electrical and Optical Wave-Motion, Chap. VIII. Cambridge. Cambridge University Press.Google Scholar
  2. Bonnor, W. B. (1969).Communications in Mathematical Physics 13, 163.Google Scholar
  3. Ferraro, V. C. A. (1962).Electromagnetic Theory, p. 527, Athlone Press, London.Google Scholar
  4. Kundt, W. (1961).Zeitschrift für Physik,163, 77.Google Scholar
  5. Sommerfeld, A. (1905).Gesell Wiss. Göttingen Nachr. Math. Phys. Klasse, 229.Google Scholar

Copyright information

© Plenum Publishing Company Limited 1969

Authors and Affiliations

  • W. B. Bonnor
    • 1
  1. 1.Queen Elizabeth CollegeLondon

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