Monopole vector spherical harmonics
Aug 16, 199320 pages
Published in:
- Phys.Rev.D 49 (1994) 1086-1092
e-Print:
- hep-th/9308054 [hep-th]
Report number:
- CU-TP-605
Citations per year
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.- gauge field theory: magnetic monopole
- angular momentum
- partial wave analysis
- Clebsch-Gordan coefficients
- index theorem
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