Quantum superintegrable Zernike system

DOI10.1063/1.4990794zbMath1370.81063arXiv1702.08570OpenAlexW2592957077MaRDI QIDQ5354888

George S. Pogosyan, Alexander Yakhno, Kurt Bernardo Wolf, Cristina Salto-Alegre

Publication date: 5 September 2017

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

Full work available at URL: https://arxiv.org/abs/1702.08570

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Waves and radiation in optics and electromagnetic theory (78A40) Wave front sets in context of PDEs (35A18)

Related Items (10)

Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system ⋮ Elliptic basis for the Zernike system: Heun function solutions ⋮ Interbasis expansions in the Zernike system ⋮ Fourth order superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials ⋮ 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 ⋮ New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates

Cites Work

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• Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions
• Superintegrable classical Zernike system
• A Generalization of the Radial Polynomials of F. Zernike

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