Quasi-Bi-Hamiltonian structures of the 2-dimensional Kepler problem

Cariñena, J. F. (Universidad de Zaragoza) ; Rañada, M. F. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.3842/SIGMA.2016.010

Año: 2016

Publicado en: Symmetry Integrability and Geometry-Methods and Applications 12 (2016), [16 pp.]
ISSN: 1815-0659

Factor impacto JCR: 0.765 (2016)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 45 / 55 = 0.818 (2016) - Q4 - T3

Factor impacto SCIMAGO: 0.56 - Analysis (Q3) - Mathematical Physics (Q3) - Geometry and Topology (Q3)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-1
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2012-33575

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)