An estimation theoretical characterization of coherent states

We introduce a class of quantum pure state models called the coherent model s. A coherent model is an even-dimensional manifold of pure states whose ta ngent space is characterized by a symplectic structure. In a rigorous frame work of noncommutative statistics, it is shown that a coherent model inheri ts and expands the original spirit of the minimum uncertainty property of c oherent states. (C) 1999 American Institute of Physics. [S0022-2488(99)0250 9-8].