259 citations · 3.2k across the 85 of their papers we have counts for
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math-ph2012★ 1 cited
Disconjugacy, regularity of multi-indexed rationally-extended potentials, and Laguerre exceptional polynomials
Yves Grandati, Christiane Quesne
The power of the disconjugacy properties of second-order differential equations of Schrödinger type to check the regularity of rationally-extended quantum potentials connected with…
math-ph2012★ 42 cited
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…
math-ph2012★ 40 cited
Revisiting (quasi-)exactly solvable rational extensions of the Morse potential
C. Quesne
The construction of rationally-extended Morse potentials is analyzed in the framework of first-order supersymmetric quantum mechanics. The known family of extended potentials $V_{A…