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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★ 11 cited
Separation of variables and Lie algebra contractions. Applications to special functions
George Pogosyan, Alexey Sissakian, Pavel Winternitz
A review is given of some recently obtained results on analytic contractions of Lie algebras and Lie groups and their applications to special function theory.
math-ph2001
Completeness of superintegrability in two-dimensional constant curvature spaces
E. G. Kalnins, J. M. Kress, G. S. Pogosyan +1
We classify the Hamiltonians of all classical superintegrable systems in two dimensional complex Euclidean space with second-order constants of the motion. W…