Abstract
The self force of electrodynamics is derived from a scalar field. The resulting equation of motion is free of all of the problems that plague the Lorentz Abraham Dirac equation. The age-old problem of a particle in a constant field is solved and the solution has intuitive appeal.
Similar content being viewed by others
References
Hammond, R.T.: Electron. J. Theor. Phys. 7, 221 (2010)
Abraham, M.: Theorie der Elektrizitat, vol. II. Teubner, Leipzig (1905)
Lorentz, H.A.: The Theory of Electrons and Its Applications to the Phenomena of Light and Radiant Heat. Teubner, Stechert, Leipzig, New York (1909)
Dirac, P.A.M.: Proc. R. Soc. A, Math. Phys. Eng. Sci. 167, 148 (1938)
Jackson, J.D.: Classical Electrodynamics, 2nd edn. Wiley, New York (1975). The FO equation appears in the third edition
Landau, L.D., Lifshitz, E.M.: The Classical Theory of Fields. Pergamon Press, Addison-Wesley, Reading (1971), equation 76.1. This appeared in the first edition in 1951
Hammond, R.T.: Electron. J. Theor. Phys. 5, 17 (2008)
Hammond, R.T.: Nuovo Cimento B 123, 567 (2008)
Yanovsky, V., et al.: Opt. Express 16, 2109 (2008)
Hammond, R.T.: Phys. Rev. A 81, 062104 (2010)
Ford, G.W., O’Connell, R.F.: Phys. Lett. A 157, 217 (1991)
Ford, G.W., O’Connell, R.F.: Phys. Lett. A 174, 182 (1993)
Ford, G.W., O’Connell, R.F.: Phys. Rev. A 44, 6386 (1991)
Cohn, J.: Am. J. Phys. 46, 225 (1976)
Troha, A.L., Hartemann, F.V.: Phys. Rev. E 65, 028502 (2002), see for an introduction and the references
Rothman, T., Boughn, S.: Am. J. Phys. 77, 122 (2009)
Fradkin, D.M.: Phys. Rev. D 22, 1018 (1970)
Louisell, W.H.: Quantum Statistical Properties of Radiation, Sect. 5.6. Wiley, New York (1973)
Acknowledgements
I would like to thank the referee for many suggestions and apposite remarks.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hammond, R.T. Electrodynamics and Radiation Reaction. Found Phys 43, 201–209 (2013). https://doi.org/10.1007/s10701-012-9687-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10701-012-9687-z