Exact and quasiexact solvability of second order superintegrable quantum systems. II. Relation to separation of variables

DOI10.1063/1.2436733zbMath1121.81067OpenAlexW2168600560MaRDI QIDQ3442214

George S. Pogosyan, Willard jun. Miller, Ernest G. Kalnins

Publication date: 16 May 2007

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

Full work available at URL: https://hdl.handle.net/10289/1150

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items

Cylindrical type integrable classical systems in a magnetic field, The quantum harmonic oscillator on the sphere and the hyperbolic plane, Separation equations for 2D superintegrable systems on constant curvature spaces, Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. II. Painlevé transcendent potentials, Supersymmetry as a method of obtaining new superintegrable systems with higher order integrals of motion, (Quasi)-exact-solvability on the sphere Sn, Dynamical symmetry algebras of two superintegrable two-dimensional systems

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