Abstract
In complex two-dimensional Euclidean space, the Hamilton-Jacobi or Schrodinger equation with a given “nondegenerate” potential is maximally superintegrable if and only if it is separated in more than one coordinate system. A similar statement for three dimensions is not known. In this paper, a start will be made on this problem by investigating the known separable Hamilton-Jacobi and Schrodinger systems to find those that are superintegrable.
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