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An addition theorem for spherical harmonics

Published online by Cambridge University Press:  24 October 2008

Y. Tikochinsky
Y. Tikochinsky
Affiliation:
Department of Theoretical Physics, The Hebrew University of Jerusalem, Jerusalem, Israel
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Summary

An addition theorem, expressing the spherical harmonics in terms of the spherical harmonics and , is derived.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 4 , October 1967 , pp. 1093 - 1096
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

(1) See, for example, Edmonds, A. R., Angular momentum in quantum mechanics, Princeton University Press, Princeton, New Jersey 1957.CrossRefGoogle Scholar
(2) The case fl(r) = r l was treated by Rose, M. E. in J. Math. and Phys. 37 (1958) 215, and independently by M. Moshinsky in Nuclear Phys. 13 (1959), 104. For a discussion of the cases fl(r) = ji(r), nl(r) see B. Friedman and J. Russek, Quart. Appl. Math. 12 (1954), 13 S. Stein, Quart. Appl. Math. 19 (1961), 15.CrossRefGoogle Scholar
(3) See, for example, Edmonds, A. R., Angular momentum in quantum mechanics, Princeton University Press, Princeton, New Jersey 1957 p. 24.CrossRefGoogle Scholar
(4) See, for example, Edmonds, A. R., Angular momentum in quantum mechanics, Princeton University Press, Princeton, New Jersey 1957 p. 73.CrossRefGoogle Scholar
(5) See, for example, Erdélyi, A., Higher transcendental functions, vol. I, McGraw-Hill; New York, 1953.Google Scholar
(6) See, for example, Edmonds, A. R., Angular momentum in quantum mechanics, Princeton University Press, Princeton, New Jersey 1957 p. 63.CrossRefGoogle Scholar