Canonical representation of spherical functions: Sylvester's theorem, Maxwell's multipoles and Majorana's sphere

DOI10.1088/0305-4470/37/40/011zbMath1069.43003arXivmath-ph/0408046OpenAlexW2069949375MaRDI QIDQ4662206

Mark Dennis

Publication date: 30 March 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0408046

zbMATH Keywords

spherical functionsSylvester's theoremeigenfunction of the Laplacian on a sphereMajorana's sphereMaxwell's multipoles

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Spinor and twistor methods applied to problems in quantum theory (81R25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (8)

Deconstructing functions on quadratic surfaces into multipoles ⋮ A review on octupolar tensors ⋮ Quantifying quantumness and the quest for Queens of Quantum ⋮ Majorana representation of symmetric multiqubit states ⋮ Sampling theorem and discrete Fourier transform on the Riemann sphere ⋮ CLASSIFICATION OF ENTANGLEMENT IN SYMMETRIC STATES ⋮ The Mathematics of Superoscillations ⋮ Ergodicity and Gaussianity for spherical random fields

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