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math-ph2015★ 4 cited
General Nth order integrals of the motion
S. Post, P. Winternitz
The general form of an integral of motion that is a polynomial of order N in the momenta is presented for a Hamiltonian system in two-dimensional Euclidean space. The classical and…
math-ph2011★ 30 cited
Models of Quadratic Algebras Generated by Superintegrable Systems in 2D
Sarah Post
In this paper, we consider operator realizations of quadratic algebras generated by second-order superintegrable systems in 2D. At least one such realization is given for each set…