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• W1969386467 abstract "We present the most general polynomial Lie algebra generated by a second order integral of motion and one of order M, construct the Casimir operator, and show how the Jacobi identity provides the existence of a realization in terms of deformed oscillator algebra. We also present the classical analog of this construction for the most general Polynomial Poisson algebra. Two specific classes of such polynomial algebras are discussed that include the symmetry algebras observed for various 2D superintegrable systems." @default.
• W1969386467 created "2016-06-24" @default.
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• W1969386467 date "2014-05-02" @default.
• W1969386467 modified "2023-10-17" @default.
• W1969386467 title "On realizations of polynomial algebras with three generators via deformed oscillator algebras" @default.
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• W1969386467 doi "https://doi.org/10.1088/1751-8113/47/20/205203" @default.
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