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Classical electrodynamics as a distribution theory. II

Published online by Cambridge University Press:  24 October 2008

J. G. Taylor
J. G. Taylor
Affiliation:
Institute for Advanced Study, Princeton
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Abstract

In a previous paper by the author (3) it was shown how the theory of distributions of L. Schwartz enables a mathematically consistent formalism to be given for a system composed of point charges interacting through their classical electromagnetic field. In the present paper a definition of the energy and momentum of the field lying in a space-like surface is given, and it is shown that from this four-vector it is possible to derive the usual equation of conservation of total energy and momentum.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 54 , Issue 2 , April 1958 , pp. 258 - 264
Copyright
Copyright © Cambridge Philosophical Society 1958

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References

REFERENCES

(1)Methe, P.Comment, math, helvet. 28 (1954), Fasc. 3.CrossRefGoogle Scholar
(2)Schwartz, L.Théorie des distributions, Books I and II (Paris, 1950).Google Scholar
(3)Taylor, J. G.Proc. Camb. Phil. Soc. 52 (1956), 119.CrossRefGoogle Scholar