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

Sandberg, Vernon D. (1978) Tensor spherical harmonics on S^2 and S^3 as eigenvalue problems. Journal of Mathematical Physics, 19 (12). pp. 2441-2445. ISSN 0022-2488. doi:10.1063/1.523649.

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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.

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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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Chaim Weizmann FellowshipUNSPECIFIED
Issue or Number:12
Classification Code:PACS: 02.30.Gp
Record Number:CaltechAUTHORS:20120802-103726465
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Official Citation: Tensor spherical harmonics on S2 and S3 as eigenvalue problems Vernon D. Sandberg J. Math. Phys. 19, 2441 (1978);
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32877
Deposited By: Ruth Sustaita
Deposited On:02 Aug 2012 18:16
Last Modified:09 Nov 2021 21:30

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