Tensor spherical harmonics on S^2 and S^3 as eigenvalueproblems
Tensor spherical harmonics on S^2 and S^3 as eigenvalueproblems
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DOI：
10.1063/1.523649
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发表时间：
1978-12
影响因子：
1.3
通讯作者：
V. Sandberg
中科院分区：
文献类型：
--
作者：
V. Sandberg
作为这些流形上的拉普拉斯算子的本征函数问题，讨论了2-球面和3-球面的张量球谐函数。标量、矢量和二阶张量调和函数以已知函数的形式明确给出，并总结了它们的性质。
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.