27 citations · 41 across the 3 of their papers we have counts for
3 papers
Quantum two-dimensional superintegrable systems in flat space: exact-solvability, hidden algebra, polynomial algebra of integrals
Alexander V Turbiner, Juan Carlos Lopez Vieyra, Pavel Winternitz
In this short review paper the detailed analysis of six two-dimensional quantum {\it superintegrable} systems in flat space is presented. It includes the Smorodinsky-Winternitz pot…
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…
Fourth order superintegrable systems separating in Polar Coordinates. I. Exotic Potentials
Adrian M. Escobar-Ruiz, J. C. López Vieyra, P. Winternitz
We present all real quantum mechanical potentials in a two-dimensional Euclidean space that have the following properties: 1. They allow separation of variables of the Schrödinger…