Monopole Vector Spherical Harmonics

Details Monopole Vector Spherical Harmonics Monopole Vector Spherical Harmonics

1993-08-11

arxiv.org/abs/hep-th/9308054v1

Phys.Rev. D49 (1994) 1086-1092

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, CU-TP-605

Scientific paper

10.1103/PhysRevD.49.1086

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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