224 citations · 2.5k across the 74 of their papers we have counts for
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Two-dimensional superintegrable systems from operator algebras in one dimension
Ian Marquette, Masoumeh Sajedi, Pavel Winternitz
We develop new constructions of 2D classical and quantum superintegrable Hamiltonians allowing separation of variables in Cartesian coordinates. In classical mechanics we start fro…
Fourth-order superintegrable systems separating in Polar Coordinates. II. Standard Potentials
A. M. Escobar-Ruiz, J. C. López Vieyra, P. Winternitz +1
Superintegrable Hamiltonian systems in a two-dimensional Euclidean space are considered. We present all real standard potentials that allow separation of variables in polar coordin…
Lie point symmetries and ODEs passing the Painlevé test
Decio Levi, David Sekera, Pavel Winternitz
The Lie point symmetries of ordinary differential equations (ODEs) that are candidates for having the Painlevé property are explored for ODEs of order . Among the 6…