91 citations · 1.2k across the 114 of their papers we have counts for
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math-ph2009★ 2 cited
Superintegrability and higher order polynomial algebras II
Ian Marquette
In an earlier article, we presented a method to obtain integrals of motion and polynomial algebras for a class of two-dimensional superintegrable systems from creation and annihila…
math-ph2009★ 48 cited
Superintegrability and higher order polynomial algebras I
Ian Marquette
We present a method to obtain higher order integrals and polynomial algebras for two-dimensional superintegrable systems from creation and annihilation operators. All potentials wi…
math-ph2009★ 44 cited
Supersymmetry as a method of obtaining new superintegrable systems with higher order integrals of motion
Ian Marquette
The main result of this article is that we show that from supersymmetry we can generate new superintegrable Hamiltonians. We consider a particular case with a third order integral…