I. Marquette

activity

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

collaborators

Showing 2012 · math-phShow all

2 papers · 2 filters

math-ph2012★ 57 cited

Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators

I. Marquette, C. Quesne

The type III Hermite $X_{m}$ exceptional orthogonal polynomial family is generalized to a double-indexed one $X_{m_{1}, m_{2}}$ (with $m_{1}$ even and $m_{2}$ odd such that $m_{2} > m_{1}$ ) and t…

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…