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An equation of quantum mechanics

Published online by Cambridge University Press:  24 October 2008

D. E. Littlewood
D. E. Littlewood
Affiliation:
University CollegeSwansea
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Extract

The complete set of matrix representations of a set of n quantities β1, β2,…,βn satisfying

is obtained for all values of n. It is found that if n = 2v or n = 2v + 1, there are v + 1 irreducible representations with the respective degrees 1, but if n = 2v + 1 there are in addition two conjugate representations of order , the symbol denoting the binomial coefficient. The explicit representations are given for n = 2, 3, 4, 5.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 43 , Issue 3 , July 1947 , pp. 406 - 413
Copyright
Copyright © Cambridge Philosophical Society 1947

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References

REFERENCES

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(4)Kemmer, . Proc. Roy. Soc. A, 173 (1939), 91.Google Scholar
(5)Littlewood, . Philos. Trans. A, 239 (1944), 387.Google Scholar