The relationship between monopole harmonics and spinweighted spherical harmonics

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/rx913q465

Descriptions

Attribute Name	Values
Creator	Dray, Tevian
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
Resource Type	Article
DOI	https://doi.org/10.1063/1.526533
Date Available	2013-08-20T21:48:12+00:00
Date Issued	1985-05
Citation	Dray, T. (1985). The relationship between monopole harmonics and spin‐weighted spherical harmonics. Journal of Mathematical Physics, 26(5), 1030.
Journal Title	Journal of Mathematical Physics
Journal Volume	26
Journal Issue/Number	5
Academic Affiliation	Mathematics
权利声明	Copyright Not Evaluated
Funding Statement (additional comments about funding)	This work was supported in part by the Stichting voor Fundamenteel Onderzoek der Materie.
Publisher	American Institute of Physics
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/41870