RT info:eu-repo/semantics/article
T1 Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability
A1 Cariñena Marzo, José Fernando
A1 Herranz, F.J.
A1 Fernández-Rañada Menéndez De Luarca, Manuel
AB The Eisenhart geometric formalism, which transforms an Euclidean natural Hamiltonian H = T +V into a geodesic Hamiltonian T with one additional degree of freedom, is applied to the four families of quadratically superintegrable systems with multiple separability in the Euclidean plane. Firstly, the separability and superintegrability of such four geodesic Hamiltonians T_r (r = a, b, c, d) in a three-dimensional curved space are studied and then these four systems are modified with the addition of a potential Ur leading to H_r = T_r +U_r. Secondly, we study the superintegrability of the four Hamiltonians tilde{H}_r = H_r/μ_r, where μ_r is a certain position-dependent mass, that enjoys the same separability as the original system H_r. All the Hamiltonians here studied describe superintegrable systems on non-Euclidean three-dimensional manifolds with a broken spherically symmetry.
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/33639
UL http://uvadoc.uva.es/handle/10324/33639
LA eng
NO Journal of Mathematical Physics 58, 022701 (2017)
NO Producción Científica
DS UVaDOC
RD 27-nov-2024