52 citations · 104 across the 2 of their papers we have counts for
2 papers
math-ph2010★ 52 cited
Third order superintegrable systems separating in polar coordinates
Frederick Tremblay, Pavel Winternitz
A complete classification is presented of quantum and classical superintegrable systems in that allow the separation of variables in polar coordinates and admit an additional…
math-ph2009★ 52 cited
Periodic orbits for an infinite family of classical superintegrable systems
Frédérick Tremblay, Alexander V. Turbiner, Pavel Winternitz
We show that all bounded trajectories in the two dimensional classical system with the potential $V(r,ϕ)=ω^2 r^2+ \frac{\al k^2}{r^2 \cos^2 {k ϕ}}+ \frac{βk^2}{r^2 \sin^2 {k ϕ}}$ a…