Structure relations and Darboux contractions for 2D 2nd order superintegrable systems

DOI10.3842/SIGMA.2015.043zbMath1317.22013arXiv1502.00128OpenAlexW1587272297MaRDI QIDQ2353226

Eyal Subag, Robin Heinonen, Ernest G. Kalnins, Willard jun. Miller

Publication date: 8 July 2015

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00128

zbMATH Keywords

quadratic algebrascontractionssuperintegrable systemsAskey schemeDarboux spaces

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Representation theory of associative rings and algebras (16G99)

Related Items (6)

Bôcher contractions of conformally superintegrable Laplace equations ⋮ Contractions of degenerate quadratic algebras, abstract and geometric ⋮ Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses ⋮ Bôcher and abstract contractions of 2nd order quadratic algebras ⋮ Group classification of Schrödinger equations with position dependent mass ⋮ Superintegrable and scale-invariant quantum systems with position-dependent Mass

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