Time Evolution of SU(1,1) coherent states
  Mathematical aspects of the SU(1,1) group parameter x dynamics governed by Hamiltonians exhibiting some special types of time dependence has been presented on an elementary level from the point of view of Moebius transformation of complex plane. The trajectories of x in continuous and mappings in discrete dynamics are considered. Some simple examples have been examined. Analytical considerations and numerical results have been given. 
Jaroslaw Zalesny