259 citations · 3.2k across the 85 of their papers we have counts for
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math-ph2015★ 29 cited
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…
math-ph2015
Deformed oscillator algebra approach of some quantum superintegrable Lissajous systems on the sphere and of their rational extensions
Ian Marquette, Christiane Quesne
We extend the construction of 2D superintegrable Hamiltonians with separation of variables in spherical coordinates using combinations of shift, ladder, and supercharge operators t…
math-ph2015★ 20 cited
Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials
Yves Grandati, Christiane Quesne
We construct rational extensions of the Darboux-Pöschl-Teller and isotonic potentials via two-step confluent Darboux transformations. The former are strictly isospectral to the ini…