Time Evolution of SU(1,1) Coherent States
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Mathematical aspects of the SU(1,1) group parameter ξ dynamics governed by Hamiltonians exhibiting some special types of time dependence was presented on an elementary level from the point of view of the Möbius transformation of complex plane. The trajectories of ξ in continuous and mappings in discrete dynamics are considered. Some simple examples were examined. Analytical considerations and numerical results were given.
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