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Factorization of the algebra of particles of half-odd spin

Published online by Cambridge University Press:  24 October 2008

K. J. Le Couteur
K. J. Le Couteur
Affiliation:
Department of Theoretical PhysicsThe UniversityLiverpool
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Abstract

It is proved that the matrix algebra for any relativistic wave equation of half-odd integral spin can be factorized as the direct product of a Dirac algebra and another, called a ξ-algebra. The structure and representation of ξ-algebras are studied in detail. The factorization simplifies calculations with particles of spin > ½, because the ξ-algebra contains only one-sixteenth as many elements as the original matrix algebra.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 1 , January 1952 , pp. 110 - 117
Copyright
Copyright © Cambridge Philosophical Society 1952

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References

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