Harmonic polynomials, hyperspherical harmonics, and atomic spectra

DOI10.1016/j.cam.2009.02.057zbMath1188.33013OpenAlexW2084165394MaRDI QIDQ1044628

John Scales Avery

Publication date: 18 December 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.02.057

zbMATH Keywords

harmonic polynomialshyperspherical harmonicsatomic spectrahyperangular integrationsturmians

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (6)

Trapping spin-0 particles on p-balls in \((D, 1)\) dimensions ⋮ Rigorous derivation of the Efimov effect in a simple model ⋮ Hyperspherical \(\delta\)-\(\delta'\) potentials ⋮ A chainlike relative coordinate system for few-particle problems ⋮ The hydrogen atom in \(D = 3 - 2\epsilon\) dimensions ⋮ Study of baryon spectroscopy using a new potential form

Uses Software

• Sturmian

Cites Work

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• A formula for angular and hyperangular integration
• Many-particle Sturmians
• Weakly convergent expansions of a plane wave and their use in Fourier integrals
• Some properties of hyperspherical harmonics
• The generalized Sturmian method and inelastic scattering of fast electrons

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