Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras

DOI10.1016/j.aop.2019.167970zbMath1429.81036arXiv1905.00194OpenAlexW2943052451WikidataQ127210307 ScholiaQ127210307MaRDI QIDQ2281048

Zhe Chen, Ian Marquette, Yao-Zhong Zhang

Publication date: 19 December 2019

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

Full work available at URL: https://arxiv.org/abs/1905.00194

zbMATH Keywords

quadratic algebraseparation of variablessuperintegrability

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Lie algebras of linear algebraic groups (17B45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items

Hidden symmetry algebra and construction of quadratic algebras of superintegrable systems ⋮ Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators ⋮ New infinite families of Nth-order superintegrable systems separating in Cartesian coordinates ⋮ Polynomial algebras from su(3) and a quadratically superintegrable model on the two sphere ⋮ N-dimensional Smorodinsky–Winternitz model and related higher rank quadratic algebra SW(N) ⋮ Racah algebra R(n) from coalgebraic structures and chains of R(3) substructures

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