Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem
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| Creator |
Cariñena, J.F.
Rañada, M.F. |
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| Description |
The existence of quasi-bi-Hamiltonian structures for the Kepler problem is studied. We first relate the superintegrability of the system with the existence of two complex functions endowed with very interesting Poisson bracket properties and then we prove the existence of a quasi-bi-Hamiltonian structure by making use of these two functions. The paper can be considered as divided in two parts. In the first part a quasi-bi-Hamiltonian structure is obtained by making use of polar coordinates and in the second part a new quasi-bi-Hamiltonian structure is obtained by making use of the separability of the system in parabolic coordinates.
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| Date |
2019-02-14T18:31:06Z
2019-02-14T18:31:06Z 2016 |
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| Type |
Article
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| Identifier |
Quasi-Bi-Hamiltonian Structures of the 2-Dimensional Kepler Problem / J.F. Cariñena, M.F. Rañada // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 36 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 37J15; 37J35; 70H06; 70H33 DOI:10.3842/SIGMA.2016.010 http://dspace.nbuv.gov.ua/handle/123456789/147429 |
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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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