2026-05-05T19:42:55Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/400982021-06-24T07:22:11Zcom_10324_22154com_10324_954com_10324_894col_10324_22155
On the Equivalence Between Type I Liouville Dynamical Systems in the Plane and the Sphere
González León, Miguel Ángel
Mateos Guilarte, Juan
Torre Mayado, Marina de la
Separable Hamiltonian systems either in sphero-conical coordinates on an S2 sphere or in elliptic coordinates on a R2 plane are described in a unified way. A back and forth route connecting these Liouville Type I separable systems is unveiled. It is shown how the gnomonic projection and its inverse map allow us to pass from a Liouville Type I separable system with a spherical configuration space
to its Liouville Type I partners where the configuration space is a plane and back. Several selected spherical separable systems and their planar cousins are discussed in a classical context.
2020-01-11T19:58:20Z
2020-01-11T19:58:20Z
2020-01-11T19:58:20Z
2019
info:eu-repo/semantics/article
In S. Kuru, J. Negro and L.M. Nieto (eds.), Integrability, Supersymmetry and Coherent States. A volume in honour of Professor Véronique Hussin. CRM Series in Mathematical Physics (Berlin: Springer, 2019), pp. 359-373.
http://uvadoc.uva.es/handle/10324/40098
10.1007/978-3-030-20087-9_16
359
373
eng
info:eu-repo/semantics/openAccess
Springer