The Tremblay–Turbiner–Winternitz system on spherical and hyperbolic spaces: superintegrability, curvature-dependent formalism and complex factorization

DOI10.1088/1751-8113/47/16/165203zbMath1382.37059arXiv1403.6266OpenAlexW2026661522MaRDI QIDQ5415827

Manuel F. Rañada

Publication date: 16 May 2014

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

Full work available at URL: https://arxiv.org/abs/1403.6266

zbMATH Keywords

nonlinear oscillatorspace of constant curvaturesuperintegrabilityhigher-order constant of motion

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

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