Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature

A family of classical superintegrable Hamiltonians, depending on an arbitrary radial function, which are defined on the 3D spherical, Euclidean and hyperbolic spaces as well as on the (2+1)D anti-de Sitter, Minkowskian and de Sitter spacetimes is constructed. Such systems admit three integrals of th...

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Bibliographic Details
Main Authors: Francisco José Herranz, Ángel Ballesteros
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2006-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2006/Paper010/