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On particle-like representations of the complete homogeneous Lorentz group

Published online by Cambridge University Press:  24 October 2008

J. A. de Wet
J. A. de Wet
Affiliation:
Witmos, Eastern Province, South Africa
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Extract

In two previous papers (1, 2) representations of the unitary groups U4, U2 were found which described some of the properties of nucleons and electrons. In particular, the many electron wave functions were constructed from the irreducible representations of U2 restricted to the proper orthochronous Lorentz group Lp. In this paper the irreducible representations of U4 found in (1) will be shown to be also irreducible representations of the complete homogeneous Lorentz group L0 and the techniques of matrix contraction employed in (2) will be used to find the precise form of the matrices of the infinitesimal ring.

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 1 , July 1973 , pp. 149 - 160
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

(1)De Wet, J. A.Proc. Cambridge Philos. Soc. 70 (1971), 485.CrossRefGoogle Scholar
(2) De Wet, J. A.Proc. Cambridge Philos. Soc. 72 (1972), 123.CrossRefGoogle Scholar
(3)Wigner, E.Phys. Rev. 51 (1937), 106.CrossRefGoogle Scholar
(4)Boerner, H.Representations of groups (North-Holland, 1963).Google Scholar
(5)Eddington, A. S.Fundamental theory (Cambridge, 1948).Google Scholar
(6)Naimark, M. A.Linear representations of the Lorentz group (Pergamon, 1964).Google Scholar
(7)BarsI. and Gürsey, F. I. and Gürsey, F.J. Mathematical Phys. 13 (1972), 131.CrossRefGoogle Scholar
(8)Hamermesh, M.Group theory (Addison Wesley, 1962).Google Scholar
(9)Goldberg, J. N. et al. J. Mathematical Phys. 8 (1968), 2155.CrossRefGoogle Scholar
(10)Wigner, E. In Group theoretical concepts and methods in elementary particle physics (Gordon and Breach, 1962).Google Scholar