Generalized uncertainty relations and coherent and
squeezed states

           D.A. Trifonov
Institute for Nuclear Research, 72 Tzarigradsko chaussee, 1784 Sofia

 Abstract.
     Characteristic uncertainty relations and their related squeezed
     states are briefly reviewed and compared in accordance with the
     generalizations of three equivalent definitions of the canonical
     coherent states. The standard SU(1,1) coherent states are shown
     to be the unique states that minimize the Schroedinger
     uncertainty relation for every pair of the three generators and
     the Robertson relation for the three generators. The
     characteristic uncertainty inequalities are naturally extended to
     the case of several states. It is shown that these inequalities
     can be written in the equivalent complementary form.

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