Title: On the Dynamics of Generalized Coherent States. I.
          Exact  and Stable Evolution

Authors:  B.A. Nikolov  and  D.A. Trifonov

Comments: Latex, 10 pages. For Part II see quant-ph/0407261.
Journal-ref: Commun. JINR E2-81-797 (Dubna, 1981)
 

Abstract. - The exact and stable evolutions of generalized coherent
states (GCS) for quantum systems are considered by making use of the
time-dependent integrals of motion method and of the Klauder approach to
the relationship between quantum and classical mechanics. It is shown that
one can construct for any quantum system overcomplete family of states
(OFS), related to the unitary representations of the Lie group G by
means of integral of motion generators, and the possibility of using this
group as a dynamical symmetry group is pointed out. The relation of the
OFS with quantum measurement theory is also established.
 
 
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