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SUPERINTEGRABILITY AND QUASI-EXACT SOLVABILITY: THE ANISOTROPIC OSCILLATOR

    https://doi.org/10.1142/9789812770752_0044Cited by:0 (Source: Crossref)
    Abstract:

    In this note we show that two-dimensional superintegrable model - nonisotropic oscillator with the ratio of frequency 2 : 1 generate both exactly and quasi-exactly solvable problems in one-dimensional quantum mechanics via separation of variables in Cartesian and parabolic coordinates. The work done in collaboration with E.Kalnins and W.Miller, Jr.