Symmetric functions andBN-invariant spherical harmonics

DOI10.1088/0305-4470/35/48/312zbMath1049.33009arXivmath/0207122OpenAlexW1839360944MaRDI QIDQ4466355

Charles F. Dunkl

Publication date: 9 June 2004

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

Full work available at URL: https://arxiv.org/abs/math/0207122

zbMATH Keywords

symmetric functionDunkl operatorinvariant spherical harmonicquantum isotropic harmonic oscillator

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Groups and algebras in quantum theory and relations with integrable systems (81R12) Spherical harmonics (33C55)

Related Items (3)

The Dunkl oscillator in the plane. II: Representations of the symmetry algebra ⋮ Monomial orthogonal polynomials of several variables ⋮ 𝔬𝔰𝔭(1,2) and generalized Bannai–Ito algebras

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