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Cited by 887

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

Spin-s Spherical Harmonics and ð

Goldberg, J. N., Macfarlane, A. J., Newman, E. T., Rohrlich, F., Sudarshan, E. C. G.·1967·Journal of Mathematical Physics
DOI 10.1063/1.1705135
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Abstract

Recent work on the Bondi-Metzner-Sachs group introduced a class of functions sYlm(θ, φ) defined on the sphere and a related differential operator ð. In this paper the sYlm are related to the representation matrices of the rotation group R3 and the properties of ð are derived from its relationship to an angular-momentum raising operator. The relationship of the sTlm(θ, φ) to the spherical harmonics of R4 is also indicated. Finally using the relationship of the Lorentz group to the conformal group of the sphere, the behavior of the sTlm under this latter group is shown to realize a representation of the Lorentz group.

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Metadata

Authors
Goldberg, J. N., Macfarlane, A. J., Newman, E. T., Rohrlich, F., & Sudarshan, E. C. G.
Venue
Journal of Mathematical Physics
Publisher
AIP Publishing
Published
1967-11-01
Volume
8
Issue
11
Pages
2155-2161
ISSN
  • 0022-2488 (ISSN-L)
  • 1089-7658
DOI
10.1063/1.1705135
OpenAlex
W2021547757
Cited by
887
References
5
FWCI
6.93
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Spin-s Spherical Harmonics and ð. https://app.cochat.ai/papers/10.1063/1.1705135
The paper
Goldberg, J. N., Macfarlane, A. J., Newman, E. T., Rohrlich, F., & Sudarshan, E. C. G. (1967). Spin-s Spherical Harmonics and ð. Journal of Mathematical Physics. https://doi.org/10.1063/1.1705135

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.