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Energy dependent integrability
Stockholm University, Faculty of Science, Department of Physics.
Number of Authors: 2
2017 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, E-ISSN 1879-1662, Vol. 115, 16-27 p.Article in journal (Refereed) Published
Abstract [en]

We review the conditions for separability of 2-dimensional 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 some new examples of systems admitting separating coordinates whose relation with the original ones explicitly depends on energy and provide a list of separable potentials discussing the nature of conserved quantities they admit.

Place, publisher, year, edition, pages
2017. Vol. 115, 16-27 p.
Keyword [en]
Finite-dimensional Hamiltonian systems, Completely Integrable Systems, Symmetries and conservation laws
National Category
Mathematics Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-143421DOI: 10.1016/j.geomphys.2016.10.001ISI: 000398875500003OAI: oai:DiVA.org:su-143421DiVA: diva2:1099078
Available from: 2017-05-29 Created: 2017-05-29 Last updated: 2017-05-29Bibliographically approved

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