Electrodynamics and the electron equation of motion

R. Tabensky

doi:10.1103/PhysRevD.13.267

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Electrodynamics and the electron equation of motion

R. Tabensky^*

Departmento de F´isica, Facultad de Ciencias F´isicas y Matemáticas, Universidad de Chile, Santiago, Chile

^*Present address: Universidade de Brasilia, Departamento de Fisica, Brasilia, Brasil.

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Phys. Rev. D 13, 267 – Published 15 January, 1976

DOI: https://doi.org/10.1103/PhysRevD.13.267

Abstract

We show the extent to which Lorentz-Dirac equations of motion for the electron follow from Maxwell's equations. The standard derivations depend on cutoff procedures and other prescriptions. The conclusion is that the Lorentz force is cutoff-independent but radiation-reaction forces are not.

References (6)

P. A. M. Dirac, Proc. R. Soc. London A167, 148 (1938)
C. Teibelboim, Phys. Rev. D 1, 1572 (1970)
F. Rohrlich, Classical Charged Particles (Addison-Wesley, Reading, Mass., 1965)
A. O. Barut, Electrodynamics and Classical Theory of Fields and Particles (Macmillan, New York, 1964)
E. T. Newman and R. Penrose, Proc. R. Soc. London A305, 175 (1968)
J. L. Synge and A. Schild, Tensor Calculus (University of Toronto, Toronto, 1949)

[c1] P. A. M. Dirac, Proc. R. Soc. London A167, 148 (1938)

[c2] C. Teibelboim, Phys. Rev. D 1, 1572 (1970)

[c3] F. Rohrlich, Classical Charged Particles (Addison-Wesley, Reading, Mass., 1965)

[c4] A. O. Barut, Electrodynamics and Classical Theory of Fields and Particles (Macmillan, New York, 1964)

[c5] E. T. Newman and R. Penrose, Proc. R. Soc. London A305, 175 (1968)

[c6] J. L. Synge and A. Schild, Tensor Calculus (University of Toronto, Toronto, 1949)

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Electrodynamics and the electron equation of motion

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