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• W2094149152 abstract "We consider a superintegrable Hamiltonian system in a two-dimensional space with a scalar potential that allows one quadratic and one cubic integrals of motion. We construct the most general cubic algebra and we present specific realizations. We use them to calculate the energy spectrum. All classical and quantum superintegrable potentials separable in Cartesian coordinates with a third order integral are known. The general formalism is applied to quantum reducible and irreducible rational potentials separable in Cartesian coordinates in E2. We also discuss these potentials from the point of view of supersymmetric and PT-symmetric quantum mechanics." @default.
• W2094149152 created "2016-06-24" @default.
• W2094149152 creator A5049413367 @default.
• W2094149152 date "2009-01-01" @default.
• W2094149152 modified "2023-09-30" @default.
• W2094149152 title "Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. I. Rational function potentials" @default.
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• W2094149152 doi "https://doi.org/10.1063/1.3013804" @default.
• W2094149152 hasPublicationYear "2009" @default.
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