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Published December 1978 | Published
Journal Article Open

Tensor spherical harmonics on S^2 and S^3 as eigenvalue problems

Abstract

Tensor spherical harmonics for the 2‐sphere and 3‐sphere are discussed as eigenfunction problems of the Laplace operators on these manifolds. The scalar, vector, and second‐rank tensor harmonics are given explicitly in terms of known functions and their properties summarized.

Additional Information

© 1978 American Institute of Physics. Online Publication Date: 11 August 2008. Received 16 May 1977; revised manuscript received 7 April 1978. Work supported in part by the National Science Foundation Grant PHY76-07919. Chaim Weizmann Fellow.

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