Monopole vector spherical harmonics
- 15 January 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 49 (2) , 1086-1092
- https://doi.org/10.1103/physrevd.49.1086
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.Keywords
All Related Versions
This publication has 3 references indexed in Scilit:
- On the existence of bound states for a massive spin-one particle and a magnetic monopolePhysical Review D, 1990
- Quantised singularities in the electromagnetic field,Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1931
- Die verallgemeinerten Kugelfunktionen und die Wellenfunktionen eines Elektrons im Felde eines MagnetpolesThe European Physical Journal A, 1931