First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator
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| Creator |
Chanu, C.
Degiovanni, L. Rastelli, G. |
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| Description |
We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians H obtained as one-dimensional extensions of natural (geodesic) n-dimensional Hamiltonians L. The Liouville integrability of L implies the (minimal) superintegrability of H. We prove that, as a consequence of natural integrability conditions, it is necessary for the construction that the curvature of the metric tensor associated with L is constant. As examples, the procedure is applied to one-dimensional L, including and improving earlier results, and to two and three-dimensional L, providing new superintegrable systems.
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| Date |
2019-02-11T17:17:50Z
2019-02-11T17:17:50Z 2011 |
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| Type |
Article
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| Identifier |
First Integrals of Extended Hamiltonians in n+1 Dimensions Generated by Powers of an Operator / C. Chanu, L. Degiovanni, G. Rastelli // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 17 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 70H06; 70H33; 53C21 DOI:10.3842/SIGMA.2011.038 http://dspace.nbuv.gov.ua/handle/123456789/146855 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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