Reciprocal transformations for Stackel-related Liouville integrable systems

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We consider the Stäckel transform, also known as the coupling-constant metamorphosis, which under certain conditions turns a Hamiltonian dynamical system into another such system and preserves the Liouville integrability. We show that the corresponding transformation for the equations of motion is nothing but the reciprocal transformation of a special form and we investigate the properties of this transformation. This result is further applied for the study of the $k$-hole deformations of the Benenti systems or more general seed systems.
12 pages, no figures

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Exactly Solvable and Integrable Systems, Mathematical Physics, Symplectic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/115664

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0607057
 http://arxiv.org/abs/nlin/0607057

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arXiv