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math-ph2012
A Geometric Study of Superintegrable Systems
Amelia L. Yzaguirre
Superintegrable systems are classical and quantum Hamiltonian systems which enjoy much symmetry and structure that permit their solubility via analytic and even, algebraic means. T…
math-ph2012★ 1 cited
The Smorodinsky-Winternitz potential revisited
Roman G. Smirnov, Amelia L. Yzaguirre
We employ joint invariants of Killing two-tensors defined in the Euclidean plane to characterize the Smorodinsky-Winternitz potential and explain the geometric meaning of its arbit…