Nonstandard Separability on the Minkowski Plane
- https://doi.org/10.1142/S1402925109000455How to use a DOI?
- Integrable Hamiltonian systems, separability by quadrature
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.
- © 2009 The Authors. Published by Atlantis Press and Taylor & Francis
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Cite this article
TY - JOUR AU - Giuseppe Pucacco AU - Kjell Rosquist PY - 2021 DA - 2021/01 TI - Nonstandard Separability on the Minkowski Plane JO - Journal of Nonlinear Mathematical Physics SP - 421 EP - 430 VL - 16 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000455 DO - https://doi.org/10.1142/S1402925109000455 ID - Pucacco2021 ER -