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• W2090690021 abstract "We consider a superintegrable quantum potential in two-dimensional Euclidean space with a second and a third order integral of motion. The potential is written in terms of the fourth Painlevé transcendent. We construct for this system a cubic algebra of integrals of motion. The algebra is realized in terms of parafermionic operators and we present Fock-type representations which yield the corresponding energy spectra. We also discuss this potential from the point of view of higher order supersymmetric quantum mechanics and obtain ground state wave functions." @default.
• W2090690021 created "2016-06-24" @default.
• W2090690021 creator A5049413367 @default.
• W2090690021 date "2009-04-09" @default.
• W2090690021 modified "2023-10-01" @default.
• W2090690021 title "Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. II. Painlevé transcendent potentials" @default.
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• W2090690021 doi "https://doi.org/10.1063/1.3096708" @default.
• W2090690021 hasPublicationYear "2009" @default.
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