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On the algebra of the meson matrices

Published online by Cambridge University Press:  24 October 2008

Harish-Chandra
Harish-Chandra
Affiliation:
Gonville and Caius CollegeCambridge
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Extract

It is shown that the algebra of the Duffin-Kemmer matrices can be handled quite neatly by introducing an extra dimension and by using the Γ-formalism of an earlier paper (3). By this means it is possible to derive identities similar to the De Broglie-Pauli identities for the Dirac matrices. To complete the analogy a Γ-formalism is also set up for the Dirac matrices.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 43 , Issue 3 , July 1947 , pp. 414 - 421
Copyright
Copyright © Cambridge Philosophical Society 1947

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References

REFERENCES

(1)Duffin, R. J.Phys. Rev. 54 (1938), 1114.CrossRefGoogle Scholar
(2)Eddington, A. S.Relativity theory of electrons and protons (Cambridge, 1936).Google Scholar
(3)Harish-Chandra, . Proc. Roy. Soc. A, 186 (1946), 502–25.Google Scholar
(4)Harish-Chandra, . Proc. Ind. Acad. Sci. A, 32 (1945), 30–41.CrossRefGoogle Scholar
(5)Kemmer, N.Proc. Roy. Soc. A, 173 (1939), 91–116.Google Scholar
(6)Pauli, W.Ann. Inst. Poincaré, 6 (1936), 109–36.Google Scholar