40 citations · 305 across the 23 of their papers we have counts for
22 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…
Cylindrical type integrable classical systems in a magnetic field
Felix Fournier, Libor Šnobl, Pavel Winternitz
We present all second order classical integrable systems of the cylindrical type in a three dimensional Euclidean space with a nontrivial magnetic field. The Hamilto…
General -order superintegrable systems separating in polar coordinates
A. M. Escobar-Ruiz, P. Winternitz, I. Yurdusen
The general description of superintegrable systems with one polynomial integral of order in the momenta is presented for a Hamiltonian system in two-dimensional Euclidean plane…
Symmetry preserving discretization of ordinary differential equations. Large symmetry groups and higher order equations
Rutwig Campoamor-Stursberg, Miguel A. Rodríguez, Pavel Winternitz
Ordinary differential equations (ODEs) and ordinary difference systems (OSs) invariant under the actions of the Lie groups , and $\mathrm{SL…
Three-dimensional superintegrable systems in a static electromagnetic field
Antonella Marchesiello, Libor Snobl, Pavel Winternitz
We consider a charged particle moving in a static electromagnetic field described by the vector potential and the electrostatic potential . We study the…
General Nth order integrals of the motion
S. Post, P. Winternitz
The general form of an integral of motion that is a polynomial of order N in the momenta is presented for a Hamiltonian system in two-dimensional Euclidean space. The classical and…