Polynomial separable indefinite natural systems

JOURNAL OF GEOMETRY AND PHYSICS

卷:87

Article

Pucacco, Giuseppe^1,2 

[1] Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy

[2] Univ Roma Tor Vergata, INFN, Sez Roma 2, I-00133 Rome, Italy

关键词: Finite-dimensional Hamiltonian systems;    Separable systems;    Completely integrable systems;   

DOI  :  10.1016/j.geomphys.2014.07.026

来源: Elsevier

【 摘 要 】

We review the conditions for separability of 2-dimensional indefinite natural Hamiltonian systems. We examine the possibility that the separability condition is satisfied on a given energy hypersurface only (weak integrability) and derive the additional requirement necessary to have separability at arbitrary values of the Hamiltonian (strong integrability). We give a list of separable polynomial potentials and discuss the kind of separable structures they admit. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free