activity
20062026
most citedSuperintegrability with third order integrals of motion, cubic algebras and supersymmetric quantum mechanics II:Painleve transcendent potentials

91 citations · 1.2k across the 114 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…