Integrable and superintegrable systems with higher order integrals of motion: master function formalism (Q1629662)

Summary: We construct two-dimensional integrable and superintegrable systems in terms of the master function formalism and relate them to \textit{Mielnik's} and \textit{Marquette's} construction in supersymmetric quantum mechanics. For two different cases of the master functions, we obtain two different two-dimensional superintegrable systems with higher order integrals of motion.