Bôcher contractions of conformally superintegrable Laplace equations

DOI10.3842/SIGMA.2016.038zbMath1338.81228arXiv1512.09315MaRDI QIDQ288677

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

Publication date: 27 May 2016

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

Full work available at URL: https://arxiv.org/abs/1512.09315

zbMATH Keywords

contractionsconformal superintegrabilityLaplace equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Applications of Lie (super)algebras to physics, etc. (17B81) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (11)

Bôcher contractions of conformally superintegrable Laplace equations ⋮ The dual pair \(Pin(2n) \times \mathfrak{osp}(1|2)\), the Dirac equation and the Bannai-Ito algebra ⋮ Separation equations for 2D superintegrable systems on constant curvature spaces ⋮ Superintegrable quantum mechanical systems with position dependent masses invariant with respect to three parametric Lie groups ⋮ An algebraic geometric foundation for a classification of second-order superintegrable systems in arbitrary dimension ⋮ Contractions of degenerate quadratic algebras, abstract and geometric ⋮ Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses ⋮ Algebraic conditions for conformal superintegrability in arbitrary dimension ⋮ Toward a classification of semidegenerate 3D superintegrable systems ⋮ Bôcher and abstract contractions of 2nd order quadratic algebras ⋮ The Kepler problem: polynomial algebra of nonpolynomial first integrals

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