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Paper detail

Higher-order superintegrability of a Holt related potential

In a recent paper, Post and Winternitz studied the properties of two-dimensional Euclidean potentials that are linear in one of the two Cartesian variables. In particular, they proved the existence of a potential endowed with an integral of third-order and an integral of fourth-order. In this paper we show that these results can be obtained in a more simple and direct way by noting that this potential is directly related with the Holt potential. It is proved that the existence of a potential with higher order superintegrability is a direct consequence of the integrability of the family of Holt type potentials.

preprint2013arXivOpen access
R. Campoamor-StursbergJ. F. CariñenaM. F. Rañada
math-phmath.MP
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R. Campoamor-StursbergJ. F. CariñenaM. F. Rañada

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