Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems

The classical Kepler-Coulomb system in 3 dimensions is well known to be 2nd order superintegrable, with a symmetry algebra that closes polynomially under Poisson brackets. This polynomial closure is typical for 2nd order superintegrable systems in 2D and for 2nd order systems in 3D with nondegenerat...

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Bibliographic Details
Date:2012
Main Authors: Kalnins, E.G., Miller Jr., W.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/148418
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems / E.G. Kalnins, W. Miller Jr. // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 28 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine