224 citations · 2.5k across the 74 of their papers we have counts for
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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…
Symmetry reduction and superintegrable Hamiltonian systems
M. A. Rodriguez, P. Tempesta, P. Winternitz
We construct complete sets of invariant quantities that are integrals of motion for two Hamiltonian systems obtained through a reduction procedure, thus proving that these systems…
Integrable and superintegrable systems with spin in three-dimensional Euclidean space
P. Winternitz, I. Yurdusen
A systematic search for superintegrable quantum Hamiltonians describing the interaction between two particles with spin 0 and 1/2, is performed. We restrict to integrals of motion…