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González León, Miguel Ángel Mateos Guilarte, Juan Torre Mayado, Marina de la 2020-01-11T19:58:20Z 2020-01-11T19:58:20Z 2019 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 Producción Científica 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. application/pdf eng Springer info:eu-repo/semantics/openAccess On the Equivalence Between Type I Liouville Dynamical Systems in the Plane and the Sphere info:eu-repo/semantics/article info:eu-repo/semantics/draft SI