\(N^{th}\)-order superintegrable systems separating in polar coordinates
type: Item
instance of: scholarly article
title: \(N^{th}\)-order superintegrable systems separating in polar coordinates
zbMATH Open document ID: 1477.35197
author: Ismet Yurduşen
publication date: 2021-09-03T00:00:00Z
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 81R12
zbMATH DE Number: 7391046
zbMATH Keywords: Painlevé property
zbMATH Keywords: separation of variables
zbMATH Keywords: superintegrability
MaRDI profile type: Publication
full work available at URL: giq-21-2020-334-348
OpenAlex ID: W3092328039
cites work: Q3995225
cites work: A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
cites work: Fifth-order superintegrable quantum systems separating in Cartesian coordinates: Doubly exotic potentials
cites work: Integrable and superintegrable quantum systems in a magnetic field
cites work: Q3506778
cites work: Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
cites work: Chazy Classes IX–XI Of Third‐Order Differential Equations
cites work: Superintegrable systems with spin and second-order integrals of motion
cites work: Integrable Hamiltonian systems with velocity-dependent potentials
cites work: Fourth order superintegrable systems separating in polar coordinates. I. Exotic potentials
cites work: General Nth-order superintegrable systems separating in polar coordinates
cites work: Fourth-order superintegrable systems separating in polar coordinates. II. Standard potentials
cites work: Superintegrability with third-order integrals in quantum and classical mechanics
cites work: Pure quantum integrability
cites work: Separation of Variables and Superintegrability
cites work: Classical ladder operators, polynomial Poisson algebras, and classification of superintegrable systems
cites work: Fourth order superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials
cites work: Higher Order Quantum Superintegrability: A New “Painlevé Conjecture”
cites work: Classical and quantum superintegrability with applications
cites work: An infinite family of superintegrable deformations of the Coulomb potential
cites work: GeneralNth order integrals of motion in the Euclidean plane
cites work: A new approach to the higher order superintegrability of the Tremblay–Turbiner–Winternitz system
cites work: Higher order superintegrability of separable potentials with a new approach to the Post–Winternitz system
cites work: An infinite family of solvable and integrable quantum systems on a plane
cites work: Periodic orbits for an infinite family of classical superintegrable systems
cites work: Third-order superintegrable systems separating in polar coordinates
cites work: Integrable and superintegrable systems with spin
cites work: Integrable and superintegrable systems with spin in three-dimensional Euclidean space
DOI: 10.7546/GIQ-21-2020-334-348
description: scientific article; zbMATH DE number 7391046