The relationship between monopole harmonics and spin-weighted spherical harmonics

1985/05/01 by Tevian Dray · 3 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Gauge theory #Harmonics #Magnetic monopole #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Solid harmonics #Spherical harmonics #Spin (aerodynamics) #Spin-weighted spherical harmonics #Theoretical physics #Vector spherical harmonics #Voltage #Zonal spherical harmonics

paper · doi:10.1063/1.526533

openalex publication_date 1985/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/18

Abstract

We compare two independent generalizations of the usual spherical harmonics, namely monopole harmonics and spin-weighted spherical harmonics, and make precise the sense in which they can be considered to be the same. By analogy with the spin-gauge language, raising and lowering operators for the monopole index of the monopole harmonics can immediately be written down.

Citations

• Dirac monopole without strings: Monopole harmonics
• Note on the Bondi-Metzner-Sachs Group
• Spin-s Spherical Harmonics and ð
• Quantised singularities in the electromagnetic field,

Cited by

• Visualisation of spherical harmonics in Peirce's quincuncial projection
• Chiral algebras, localization and surface defects
• Spin-weighted spherical harmonics [wikipedia]