2 papers
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…
math-ph2021
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…