77 citations · 173 across the 4 of their papers we have counts for
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math-ph2007★ 51 cited
Superintegrable Systems with a Third Order Integrals of Motion
Ian Marquette, Pavel Winternitz
Two-dimensional superintegrable systems with one third order and one lower order integral of motion are reviewed. The fact that Hamiltonian systems with higher order integrals of m…
math-ph2007★ 10 cited
Polynomial Associative Algebras for Quantum Superintegrable Systems with a Third Order Integral of Motion
Ian Marquette
We consider a superintegrable Hamiltonian system in a two-dimensional space with a scalar potential that allows one quadratic and one cubic integral of motion. We construct the mos…