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math-ph2004★ 3 cited
Exact and quasi-exact solvability of two-dimensional superintegrable quantum systems. I. Euclidean space
E. G. Kalnins, W. Miller, G. S. Pogosyan
In this article we show that separation of variables for second-order superintegrable systems in two-dimensional Euclidean space generates both exactly solvable (ES) and quasi-exac…
math-ph2003★ 121 cited
Superintegrable Systems in Darboux spaces
E. G. Kalnins, J. M. Kress, W. Miller +1
Almost all research on superintegrable potentials concerns spaces of constant curvature. In this paper we find by exhaustive calculation, all superintegrable potentials in the four…