Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. II. Painlevé transcendent potentials I Marquette Journal of mathematical physics 50 (9), 2009 | 107 | 2009 |

Superintegrable systems with third-order integrals of motion I Marquette, P Winternitz Journal of Physics A: Mathematical and Theoretical 41 (30), 304031, 2008 | 70 | 2008 |

Superintegrability and higher order polynomial algebras I Marquette Journal of Physics A: Mathematical and Theoretical 43 (13), 135203, 2010 | 69 | 2010 |

Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. I. Rational function potentials I Marquette Journal of mathematical physics 50 (1), 2009 | 69 | 2009 |

New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials I Marquette, C Quesne Journal of Mathematical Physics 54 (4), 2013 | 60 | 2013 |

Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators I Marquette, C Quesne Journal of Physics A: Mathematical and Theoretical 46 (15), 155201, 2013 | 56 | 2013 |

Supersymmetry as a method of obtaining new superintegrable systems with higher order integrals of motion I Marquette Journal of mathematical physics 50 (12), 2009 | 50 | 2009 |

Polynomial Poisson algebras for classical superintegrable systems with a third-order integral of motion I Marquette, P Winternitz Journal of mathematical physics 48 (1), 012902, 2007 | 44 | 2007 |

New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems I Marquette, C Quesne Journal of mathematical physics 54 (10), 2013 | 41 | 2013 |

An infinite family of superintegrable systems from higher order ladder operators and supersymmetry I Marquette Journal of Physics: Conference Series 284, 012047, 2011 | 39 | 2011 |

Generalized MICZ-Kepler system, duality, polynomial, and deformed oscillator algebras I Marquette Journal of mathematical physics 51 (10), 2010 | 39 | 2010 |

Fourth order superintegrable systems separating in Cartesian coordinates I. Exotic quantum potentials I Marquette, M Sajedi, P Winternitz Journal of Physics A: Mathematical and Theoretical 50 (31), 315201, 2017 | 38 | 2017 |

Construction of classical superintegrable systems with higher order integrals of motion from ladder operators I Marquette Journal of Mathematical Physics 51, 072903, 2010 | 34* | 2010 |

Classical ladder operators, polynomial Poisson algebras and classification of superintegrable systems I Marquette Journal of Mathematical Physics 53, 012901, 2012 | 33 | 2012 |

Combined state-adding and state-deleting approaches to type III multi-step rationally extended potentials: Applications to ladder operators and superintegrability I Marquette, C Quesne Journal of Mathematical Physics 55 (11), 2014 | 29 | 2014 |

Connection between quantum systems involving the fourth Painlevé transcendent and k-step rational extensions of the harmonic oscillator related to Hermite exceptional … I Marquette, C Quesne Journal of Mathematical Physics 57 (5), 2016 | 26 | 2016 |

Quadratic algebra structure and spectrum of a new superintegrable system in N-dimension MF Hoque, I Marquette, YZ Zhang Journal of Physics A: Mathematical and Theoretical 48 (18), 185201, 2015 | 26 | 2015 |

Generalized Heine–Stieltjes and Van Vleck polynomials associated with two-level, integrable BCS models I Marquette, J Links Journal of Statistical Mechanics: Theory and Experiment 2012 (08), P08019, 2012 | 26 | 2012 |

Generalized five-dimensional Kepler system, Yang-Coulomb monopole and Hurwitz transformation I Marquette Journal of Mathematical Physics 53, 022103, 2012 | 25 | 2012 |

Exact solution of the Hamiltonian revisited: duality relations in the hole-pair picture J Links, I Marquette, A Moghaddam Journal of Physics A: Mathematical and Theoretical 48 (37), 374001, 2015 | 23 | 2015 |