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On the classical equations of motion of radiating electrons

Published online by Cambridge University Press:  24 October 2008

S. Ashauer
S. Ashauer
Affiliation:
Correio Brooklyn Paulista, Saõ Paulo, Brazil
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Extract

This paper deals with some details of the application of the Lorentz-Dirac equations of motion of an electron to two simple cases, (a) with no incident field, and (b) with an incident pulse of radiation. In case (a), the field-energy distribution in the self-accelerating motion of the electron when the electron has built up a velocity close to the velocity of light is considered. Numerical and graphical methods are used to form a picture showing how the field energy tends to be concentrated in a disk for this state of motion. A discontinuity of the advanced field variables of the self-accelerating electron is also examined. In case (b), the general solution of the equations of motion for the velocity of the electron is worked out accurately. In the physical solution, this brings out the effects of radiation damping when the pulse has great intensity. Some aspects of the non-physical solutions are pointed out.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 3 , July 1949 , pp. 463 - 475
Copyright
Copyright © Cambridge Philosophical Society 1949

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References

REFERENCES

(1)Ashauer, S.Proc. Cambridge Phil. Soc. 43 (1947), 506.CrossRefGoogle Scholar
(2)Dirac, P. A. M.Proc. Roy. Soc. A, 167 (1938), 148.Google Scholar