3 citations · 5 across the 2 of their papers we have counts for
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Painlevé VI superintegrability and Heun-Racah algebras
Ian Marquette, Sarah Post
We study the two fourth-order quantum superintegrable systems in the Euclidean plane that separate in polar coordinates and whose angular potentials are determined by the general f…
Quasi-exactly solvable deformations of quantum systems associated with exceptional orthogonal polynomials
Siyu Li, Ian Marquette, Sarah Post +1
Quasi-exactly solvable (QES) deformations of harmonic and singular oscillators have been widely studied via a range of approaches. In this paper, we obtain families of new QES defo…
A family of fourth-order superintegable systems with rational potentials related to Painlevé VI
I. Marquette, S. Post, L. Ritter
We discuss a family of Hamiltonians given by particular rational extensions of the singular oscillator in two-dimensions. The wave functions of these Hamiltonians can be expressed…
Third-order superintegrable systems with potentials satisfying nonlinear equations
A. Marchesiello, S. Post, L. Šnobl
The conditions for superintegrable systems in two-dimensional Euclidean space admitting separation of variables in an orthogonal coordinate system and a functionally independent th…