SUPERINTEGRABILITY AND QUASI-EXACT SOLVABILITY: THE ANISOTROPIC OSCILLATOR
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.