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arXiv · hep-th/9308054

Monopole Vector Spherical Harmonics

Erick J. Weinberg
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Abstract

Eigenfunctions of total angular momentum for a charged vector field interacting with a magnetic monopole are constructed and their properties studied. In general, these eigenfunctions can be obtained by applying vector operators to the monopole spherical harmonics in a manner similar to that often used for the construction of the ordinary vector spherical harmonics. This construction fails for the harmonics with the minimum allowed angular momentum. These latter form a set of vector fields with vanishing covariant curl and covariant divergence, whose number can be determined by an index theorem.

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Erick J. Weinberg. 1993-08-11. Monopole Vector Spherical Harmonics. https://doi.org/10.1103/physrevd.49.1086

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