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NONSTANDARD SEPARABILITY ON THE MINKOWSKI PLANE
Stockholm University, Faculty of Science, Department of Physics. ICRANet, Italy.
2009 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, E-ISSN 1776-0852, Vol. 16, no 4, 421-430 p.Article in journal (Refereed) Published
Abstract [en]

We present examples of nonstandard separation of the natural Hamilton-Jacobi equation on the Minkowski plane M(2). By "nonstandard" we refer to the cases in which the form of the metric, when expressed in separating coordinates, does not have the usual Liouville structure. There are two possibilities: the "complex-Liouville" (or "harmonic") case and the "linear/null" (or "Jordan block") case. By means of explicit examples, we show that, in all cases, a suitable glueing of coordinate patches of the different structures allows us to separate natural systems with indefinite kinetic energy all over M(2).

Place, publisher, year, edition, pages
2009. Vol. 16, no 4, 421-430 p.
Keyword [en]
Integrable Hamiltonian systems, separability by quadrature
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-37334DOI: 10.1142/S1402925109000455ISI: 000274916800003OAI: oai:DiVA.org:su-37334DiVA: diva2:299594
Available from: 2010-02-23 Created: 2010-02-23 Last updated: 2017-12-12Bibliographically approved

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