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arXiv:math/0312429 [math.DS]AbstractReferencesReviewsResources

Integrability of the n-centre problem at high energies

A. Knauf, I. A. Taimanov

Published 2003-12-23, updated 2004-01-16Version 2

It is shown that for generic configuration of the centres at high energy levels the n-centre problem is completely integrable by using $C^\infty$ integrals of the motion however it is not integrable in terms of real analytic functions

Comments: 4 pages
Journal: Doklady Math. 70 (2004), 502--503
Categories: math.DS, math-ph, math.MP, nlin.CD
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