5 citations · 5 across the 1 of their papers we have counts for
6 papers · 1 filter
Superintegrability on N-dimensional spaces of constant curvature from so(N+1) and its contractions
Francisco J. Herranz, Angel Ballesteros
The Lie-Poisson algebra so(N+1) and some of its contractions are used to construct a family of superintegrable Hamiltonians on the ND spherical, Euclidean, hyperbolic, Minkowskian…
Superintegrability on sl(2)-coalgebra spaces
Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco
We review a recently introduced set of N-dimensional quasi-maximally superintegrable Hamiltonian systems describing geodesic motions, that can be used to generate "dynamically" a l…
A maximally superintegrable system on an n-dimensional space of nonconstant curvature
Angel Ballesteros, Alberto Enciso, Francisco J. Herranz +1
A novel Hamiltonian system in n dimensions which admits the maximal number 2n-1 of functionally independent, quadratic first integrals is presented. This system turns out to be the…
(Anti)de Sitter/Poincare symmetries and representations from Poincare/Galilei through a classical deformation approach
Francisco J. Herranz, Mariano Santander
A classical deformation procedure, based on universal enveloping algebras, Casimirs and curvatures of symmetrical homogeneous spaces, is applied to several cases of physical releva…
A new Lie algebra expansion method: Galilei expansions to Poincare and Newton-Hooke
Francisco J. Herranz, Mariano Santander
We modify a Lie algebra expansion method recently introduced for the (2+1)-dimensional kinematical algebras so as to work for higher dimensions. This new improved and geometrical p…
The families of orthogonal, unitary and quaternionic unitary Cayley--Klein algebras and their central extensions
Francisco J. Herranz, Mariano Santander
The families of quasi-simple or Cayley--Klein algebras associated to antihermitian matrices over R, C and H are described in a unified framework. These three families include simpl…