1993/08/11 by Erick J. Weinberg · 2 citations
Earth and Planetary Sciences · Physics and Astronomy · #Geophysics and Gravity Measurements #Quantum and Classical Electrodynamics #Solar and Space Plasma Dynamics #hep-th
paper · pdf · doi:10.1103/physrevd.49.1086
published as Phys.Rev. D49 (1994) 1086-1092 · 21 pages, CU-TP-605
arxiv created 1993/08/11 · openalex publication_date 1994/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.