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Eigenvalues and degeneracies for n-dimensional tensor spherical harmonics
Abstract
Symmetric transverse traceless tensor harmonics of arbitrary rank are constructed on spheres Sn of dimensionality n≥3, and the associated eigenvalues of the Laplacian are computed. It is shown that these tensor harmonics span the space of symmetric transverse traceless tensors on Sn and are eigenfunctions of the quadratic Casimir operator of the group O(n+1). The dimensionalities of the eigenspaces of the Laplacian are computed for harmonics of rank 1 and rank 2.
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Citations
Cited by
Ultraviolet fixed point and generalized flow equation of quantum gravity
Lauscher, O., & Reuter, M. (2001) · Physical Review D · doi:10.1103/physrevd.65.025013 · Cited by 438
Harmonic analysis and propagators on homogeneous spaces
Camporesi, R. (1990) · Physics Reports · doi:10.1016/0370-1573(90)90120-q · Cited by 257
Reduction of Einstein’s equations for vacuum space-times with spacelike U(1) isometry groups
Moncrief, V. (1986) · Annals of Physics · doi:10.1016/s0003-4916(86)80009-4 · Cited by 124
Metadata
- Authors
- Rubin, M. A., & Ordóñez, C. R.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1984-10-01
- Volume
- 25
- Issue
- 10
- Pages
- 2888-2894
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2090184043
- Cited by
- 161
- References
- 0
- FWCI
- 4.38
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Eigenvalues and degeneracies for n-dimensional tensor spherical harmonics. https://app.cochat.ai/papers/10.1063/1.526034
- The paper
- Rubin, M. A., & Ordóñez, C. R. (1984). Eigenvalues and degeneracies for n-dimensional tensor spherical harmonics. Journal of Mathematical Physics. https://doi.org/10.1063/1.526034
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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