Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-26T08:40:53.300Z Has data issue: false hasContentIssue false
  • English
  • Français

Conserved currents of the Klein–Gordon field

Published online by Cambridge University Press:  24 October 2008

T. J. Gordon
T. J. Gordon
Affiliation:
Gonville and Caius College, Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

A method is presented whereby all locally defined conserved currents of the Klein-Gordon field are found. The mathematical background to the method includes a generalization of the Poincaré lemma of the calculus of exterior differential forms. It is found that the only conserved currents are essentially a countably infinite set of functions, bilinear in the field, together with a single current in the case where the mass is zero. The usual energy-momentum tensor is included amongst these functions. The method does not depend on the use of any canonical formulation of the field theory.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 90 , Issue 3 , November 1981 , pp. 507 - 515
Copyright
Copyright © Cambridge Philosophical Society 1981

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)Bičák, J.Relativity and gravitation, ed. Kuper, C. G. and Peres, A. (Gordon and Breach, New York, 1971), pp. 47–67.Google Scholar
(2)Fock, V.Relativistic theories of gravitation, ed. Infeld, L. (Pergamon Press, Oxford, 1964), pp. 269–273.Google Scholar
(3)Schouten, J. A.Ricci calculus, 2nd edn (Springer, Berlin, Göttingen, Heidelberg, 1954).CrossRefGoogle Scholar
(4)Ślebodziński, W.Exterior forms and their applications (Polish Scientific Publishers, Warsaw, 1970).Google Scholar