Construction of classical superintegrable systems with higher order integrals of motion from ladder operators

DOI10.1063/1.3448925zbMath1311.37041arXiv1002.3118OpenAlexW1975375208MaRDI QIDQ5251823

Ian Marquette

Publication date: 21 May 2015

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

Full work available at URL: https://arxiv.org/abs/1002.3118

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Poisson algebras (17B63) Operator algebra methods applied to problems in quantum theory (81R15) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (9)

Klein-Gordon equation with superintegrable systems: Kepler-Coulomb, harmonic oscillator, and hyperboloid ⋮ Integrable and superintegrable systems with higher order integrals of motion: master function formalism ⋮ A family of fourth-order superintegrable systems with rational potentials related to Painlevé VI ⋮ Two-dimensional superintegrable systems from operator algebras in one dimension ⋮ Classical spectrum generating algebra of the Kepler-Coulomb system and action-angle variables ⋮ The anisotropic oscillator on curved spaces: a exactly solvable model ⋮ Classical ladder operators, polynomial Poisson algebras, and classification of superintegrable systems ⋮ Generalized five-dimensional Kepler system, Yang-Coulomb monopole, and Hurwitz transformation ⋮ New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates

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