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.
Pucacco, G. (2015). Polynomial separable indefinite natural systems. JOURNAL OF GEOMETRY AND PHYSICS, 87, 382-395 [10.1016/j.geomphys.2014.07.026].
Polynomial separable indefinite natural systems
PUCACCO, GIUSEPPE
2015-01-01
Abstract
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.File in questo prodotto:
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