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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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Showing 2013Show all

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math-ph2013★ 1 cited

Quartic Poisson algebras and quartic associative algebras and realizations as deformed oscillator algebras

Ian Marquette

We introduce the most general quartic Poisson algebra generated by a second and a fourth order integral of motion of a 2D superintegrable classical system. We obtain the correspond…

math-ph2013★ 41 cited

New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems

I. Marquette, C. Quesne

New ladder operators are constructed for a rational extension of the harmonic oscillator associated with type III Hermite exceptional orthogonal polynomials and characterized by an…