Superintegrability with second- and third-order integrals of motion |
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| Authors: | P. Winternitz |
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| Affiliation: | (1) Centre de recherches mathématiques and Département de mathématiques et de statistique, Universitéde Montréal, Montréal, Canada |
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| Abstract: | Superintegrable systems in two-dimensional Euclidean space E 2 with scalar potentials and integrals of motion that are second- or third-order polynomials in the momenta are discussed. We review old results, obtained in collaboration with Ya.A. Smorodinsky more than 40 years ago and present new ones that are their continuation. The text was submitted by the author in English. |
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