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arxiv: 1710.04305 · v1 · pith:G5OIJXPXnew · submitted 2017-10-11 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords mastersuperintegrablediferentformalismfunctionhigherintegrableintegrals
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In this article, we construct two-dimensional integrable and superintegrable sys- tems in terms of the master function formalism and relate them to Mielnik;s and Marquette;s construction in supersymmetric quantum mechanics. For two diferent cases of the master functions, we obtain two diferent two-dimensional superintegrable systems with higher order integrals of motion.

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