NONSTANDARD SEPARABILITY ON THE MINKOWSKI PLANE
2009 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, Vol. 16, no 4, 421-430 p.Article in journal (Refereed) Published
We present examples of nonstandard separation of the natural Hamilton–Jacobi equation on the Minkowski plane 𝕄2. 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 𝕄2
Place, publisher, year, edition, pages
2009. Vol. 16, no 4, 421-430 p.
Integrable Hamiltonian systems; separability by quadrature
IdentifiersURN: urn:nbn:se:su:diva-37334DOI: 10.1142/S1402925109000455ISI: 000274916800003OAI: oai:DiVA.org:su-37334DiVA: diva2:299594