RT info:eu-repo/semantics/article
T1 On the Equivalence Between Type I Liouville Dynamical Systems in the Plane and the Sphere
A1 González León, Miguel Ángel
A1 Mateos Guilarte, Juan
A1 Torre Mayado, Marina de la
AB 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 spaceto 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.
PB Springer
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/40098
UL http://uvadoc.uva.es/handle/10324/40098
LA eng
NO 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.
NO Producción Científica
DS UVaDOC
RD 18-nov-2024