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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
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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

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References

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