Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory
type: Item
instance of: scholarly article
title: Second-order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory
zbMATH Open document ID: 1110.37054
DOI: 10.1063/1.1897183
author: Ernest G. Kalnins
author: J. M. Kress
author: W. jun. Miller
published in: Journal of Mathematical Physics
publication date: 2007-05-16T00:00:00Z
full work available at URL: https://hdl.handle.net/10289/1179
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 81R12
zbMATH DE Number: 5153784
MaRDI profile type: Publication
OpenAlex ID: W2163306289
cites work: Group theory of the Smorodinsky–Winternitz system
cites work: Separation of variables in the Gaudin model
cites work: Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
cites work: Q4846457
cites work: A unified treatment of cubic invariants at fixed and arbitrary energy.
cites work: Enumeration of Potentials for Which One-Particle Schroedinger Equations Are Separable
cites work: Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations
cites work: Q5820721
cites work: Q5732789
cites work: Superintegrability and associated polynomial solutions: Euclidean space and the sphere in two dimensions
cites work: Quadratic Poisson algebras of two-dimensional classical superintegrable systems and quadratic associative algebras of quantum superintegrable systems.
cites work: Families of Orthogonal and Biorthogonal Polynomials on theN-Sphere
cites work: Superintegrable systems: Polynomial algebras and quasi-exactly solvable Hamiltonians
cites work: Exact solvability of superintegrable systems
cites work: Perturbative quantum corrections and flux compactifications
cites work: Completeness of superintegrability in two-dimensional constant-curvature spaces
cites work: Superintegrability in a two-dimensional space of nonconstant curvature
cites work: Superintegrable systems in Darboux spaces
cites work: Superintegrable n=2 systems, quadratic constants of motion, and potentials of Drach
cites work: On superintegrable symmetry-breaking potentials in N-dimensional Euclidean space
cites work: Stäckel-Equivalent Integrable Hamiltonian Systems
cites work: Structural equations for Killing tensors of order two. II
cites work: Completeness of multiseparable superintegrability inE2,C
cites work: Completeness of multiseparable superintegrability on the complex 2-sphere
description: scientific article