Interbasis expansions in the Zernike system

DOI10.1063/1.5000915zbMath1373.81207arXiv1708.06666OpenAlexW2747135208MaRDI QIDQ4592888

Natig M. Atakishiyev, Alexander Yakhno, George S. Pogosyan, Kurt Bernardo Wolf

Publication date: 9 November 2017

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

Full work available at URL: https://arxiv.org/abs/1708.06666

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Unitary representations of locally compact groups (22D10) Spherical harmonics (33C55)

Related Items (7)

Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system ⋮ Elliptic basis for the Zernike system: Heun function solutions ⋮ On the generalization of classical Zernike system ⋮ Fourier-Zernike series of compactly supported convolutions on \(SE(2)\) ⋮ Zernike functions, rigged Hilbert spaces, and potential applications ⋮ Spherical geometry, Zernike’s separability, and interbasis expansion coefficients ⋮ Zernike System Stems from Free Motion on the 3-Sphere

Cites Work

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