On the isotropic oscillator and the hydrogenic atom in classical and quantum mechanics

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Abstract
It is shown how one may simply associate the problem of the isotropic oscillator to that of the hydrogenic atom in classical dynamics, particularly in its action−angle variable formulation, so that the solution of the one problem implies that of the other. This relationship persists in the two−dimensional quantum mechanics and provides the key to the construction of a wave pocket solution for the isotropic oscillator in the region of large principal quantum number in three dimensions.

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