Separation equations for 2D superintegrable systems on constant curvature spaces

DOI10.1088/1751-8121/aa8489zbMath1375.81129arXiv1609.03917OpenAlexW3102928970MaRDI QIDQ4588418

Ernest G. Kalnins, Willard jun. Miller, Mauricio A. Escobar-Ruiz

Publication date: 26 October 2017

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

Full work available at URL: https://arxiv.org/abs/1609.03917

zbMATH Keywords

contractionssuperintegrable systemshypergeometric equationsHeun equationsquasiexact solvability

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Classical hypergeometric functions, ({}_2F_1) (33C05) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Cylindrical type integrable classical systems in a magnetic field, Algebraic approach and exact solutions of superintegrable systems in 2D Darboux spaces

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