Quantum deformations and superintegrable motions on spaces with variable curvature

DOI10.3842/SIGMA.2007.026zbMath1138.37039arXivmath-ph/0611040OpenAlexW2170310722MaRDI QIDQ2473422

Ángel Ballesteros, Francisco J. Herranz, Fabio Musso, Orlando Ragnisco

Publication date: 27 February 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0611040

zbMATH Keywords

quantum groupsHamiltonian systemKepler-Coulomb systemsuper-integrable systemsmaximally super-integrable

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of Lie algebras and superalgebras to integrable systems (17B80) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (5)

Universal chain structure of quadratic algebras for superintegrable systems with coalgebra symmetry ⋮ Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system ⋮ Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability ⋮ \(N\)-dimensional \(\mathrm{sl}(2)\)-coalgebra spaces with non-constant curvature ⋮ Superintegrability on \(N\)-dimensional curved spaces: central potentials, centrifugal terms and monopoles

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