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math-ph2026
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…
math-ph2026
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…