91 citations · 1.2k across the 114 of their papers we have counts for
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Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators
I. Marquette, C. Quesne
The type III Hermite exceptional orthogonal polynomial family is generalized to a double-indexed one (with even and odd such that ) and t…
New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials
Ian Marquette, Christiane Quesne
In recent years, many exceptional orthogonal polynomials (EOP) were introduced and used to construct new families of 1D exactly solvable quantum potentials, some of which are shape…
Generalised Heine-Stieltjes and Van Vleck polynomials associated with degenerate, integrable BCS models
Ian Marquette, Jon Links
We study the Bethe Ansatz/Ordinary Differential Equation (BA/ODE) correspondence for Bethe Ansatz equations that belong to a certain class of coupled, nonlinear, algebraic equation…
Integrability of an extended d+id-wave pairing Hamiltonian
Ian Marquette, Jon Links
We introduce an integrable Hamiltonian which is an extended d+id-wave pairing model. The integrability is deduced from a duality relation with the Richardson-Gaudin (s-wave) pairin…