16 citations · 16 across the 1 of their papers we have counts for
3 papers
math-ph2005★ 16 cited
Two important examples of nonlinear oscillators
José F. Cariñena, Manuel F. Rañada, Mariano Santander
We discuss a classical nonlinear oscillator, which is proved to be a superintegrable system for which the bounded motions are quasiperiodic oscillations and the unbounded (scatteri…
math-ph1999
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…
math-ph1999
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…