Superintegrable classical Zernike system

DOI10.1063/1.4990793zbMath1426.35195arXiv1702.08566OpenAlexW3105380047MaRDI QIDQ5354899

George S. Pogosyan, Kurt Bernardo Wolf, Alexander Yakhno

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/1702.08566

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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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 ⋮ Quantum superintegrable Zernike system ⋮ On the generalization of classical Zernike system ⋮ Zernike functions, rigged Hilbert spaces, and potential applications ⋮ Zernike System Stems from Free Motion on the 3-Sphere

Cites Work

• Classes of bivariate orthogonal polynomials
• Generalized Zernike or disc polynomials
• A nonlinear deformation of the isotonic oscillator and the Smorodinski-Winternitz system: integrability and superintegrability
• Classical and quantum superintegrability with applications
• Non-Selfadjoint Operators in Quantum Physics
• Dynamical symmetries in a spherical geometry. I
• Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode
• A Generalization of the Radial Polynomials of F. Zernike
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