Classical and quantum higher order superintegrable systems from coalgebra symmetry

DOI10.1088/1751-8113/46/26/265207zbMath1270.81110arXiv1304.4918OpenAlexW3101532856MaRDI QIDQ2841104

Danilo Riglioni

Publication date: 24 July 2013

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

Full work available at URL: https://arxiv.org/abs/1304.4918

Mathematics Subject Classification ID

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) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Special quantum systems, such as solvable systems (81Q80)

Related Items (7)

Embedding of the Racah algebra \(R(n)\) and superintegrability ⋮ The Perlick system type I: from the algebra of symmetries to the geometry of the trajectories ⋮ Coalgebra symmetry for discrete systems ⋮ Algebraic approach and exact solutions of superintegrable systems in 2D Darboux spaces ⋮ The anisotropic oscillator on curved spaces: a exactly solvable model ⋮ From ordinary to discrete quantum mechanics: the Charlier oscillator and its coalgebra symmetry ⋮ Superintegrable systems in non-Euclidean plane: Hidden symmetries leading to linearity

This page was built for publication: Classical and quantum higher order superintegrable systems from coalgebra symmetry