91 citations · 1.2k across the 114 of their papers we have counts for
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Recurrence approach and higher rank cubic algebras for the -dimensional superintegrable systems
Md Fazlul Hoque, Ian Marquette, Yao-Zhong Zhang
By applying the recurrence approach and coupling constant metamorphosis, we construct higher order integrals of motion for the Stackel equivalents of the -dimensional superinteg…
Connection between quantum systems involving the fourth Painleve transcendent and -step rational extensions of the harmonic oscillator related to Hermite EOP
Ian Marquette, Christiane Quesne
The purpose of this communication is to point out the connection between a 1D quantum Hamiltonian involving the fourth Painleve transcendent P, obtained in the context o…
Family of -dimensional superintegrable systems and quadratic algebra structures
Md Fazlul Hoque, Ian Marquette, Yao-Zhong Zhang
Classical and quantum superintegrable systems have a long history and they possess more integrals of motion than degrees of freedom. They have many attractive properties, wide appl…
Families of 2D superintegrable anisotropic Dunkl oscillators and algebraic derivation of their spectrum
Phillip S. Isaac, Ian Marquette
We generalise the construction of integrals of motion for quantum superintegrable models and the deformed oscillator algebra approach. This is presented in the context of 1D system…
A new family of dimensional superintegrable double singular oscillators and quadratic algebra
Md Fazlul Hoque, Ian Marquette, Yao-Zhong Zhang
We introduce a new family of -dimensional quantum superintegrable model consisting of double singular oscillators of type . The special cases and were p…
Exact solution of the p+ip Hamiltonian revisited: duality relations in the hole-pair picture
Jon Links, Ian Marquette, Amir Moghaddam
We study the exact Bethe Ansatz solution of the p+ip Hamiltonian in a form whereby quantum numbers of states refer to hole-pairs, rather than particle-pairs used in previous studie…