Review confirms exact solvability, algebraic forms, hidden Lie algebras, and polynomial integral algebras for six 2D superintegrable systems including Smorodinsky-Winternitz, Fokas-Lagerstrom, Calogero-Wolfes, and TTW models.
The system admits two second-order integrals I1 =−∂ 2 y + 8ω 2 y2 ,(41) 4 For definitions, see [20]
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Quantum two-dimensional superintegrable systems in flat space: exact-solvability, hidden algebra, polynomial algebra of integrals
Review confirms exact solvability, algebraic forms, hidden Lie algebras, and polynomial integral algebras for six 2D superintegrable systems including Smorodinsky-Winternitz, Fokas-Lagerstrom, Calogero-Wolfes, and TTW models.