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The relationship between monopole harmonics and spinweighted spherical harmonics

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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.
  • Keywords: SCHROEDINGER EQUATION, ANGULAR MOMENTUM OPERATORS, GRAVITATIONAL RADIATION, SPHERICAL HARMONICS, GAUGE INVARIANCE, SINGULARITY, METRICS, HILBERT SPACE, WEIGHTING FUNCTIONS, HARMONICS, SPIN, MAGNETIC MONOPOLES, COMPARATIVE EVALUATIONS, FIBER BUNDLES, GRAVITATIONAL WAVES
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Citation
  • Dray, T. (1985). The relationship between monopole harmonics and spin‐weighted spherical harmonics. Journal of Mathematical Physics, 26(5), 1030.
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  • 26
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  • 5
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  • This work was supported in part by the Stichting voor Fundamenteel Onderzoek der Materie.
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