Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-17T13:48:38.462Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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