Intertwining symmetry algebras of quantum superintegrable systems on constant curvature spaces

DOI10.1007/S10773-010-0572-2zbMath1229.81134OpenAlexW2085961026MaRDI QIDQ649926

Mariano A. del Olmo, Şengül Kuru, Javier Negro, Juan A. Calzada

Publication date: 25 November 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0572-2

zbMATH Keywords

integrable systemsintertwining operators

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (1)

The general Racah algebra as the symmetry algebra of generic systems on pseudo-spheres

Cites Work

• Intertwined Hamiltonians in two-dimensional curved spaces
• The quantum harmonic oscillator on the sphere and the hyperbolic plane
• Factorizations of one-dimensional classical systems
• Completeness of superintegrability in two-dimensional constant-curvature spaces
• Quadratic Poisson algebras of two-dimensional classical superintegrable systems and quadratic associative algebras of quantum superintegrable systems
• Intertwined isospectral potentials in an arbitrary dimension
• Superintegrable quantum u(3) systems and higher rank factorizations
• Intertwining symmetry algebras of quantum superintegrable systems on the hyperboloid
• The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature
• Group theory of the Smorodinsky–Winternitz system
• Two families of superintegrable and isospectral potentials in two dimensions
• Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions

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