  By means of the unitary transformation, a new way for discussing the ordering
prescription of Schrodinger equation with a position-dependent mass (PDM) for
isospectral Hamiltonian operators is presented. We show that the ambiguity
parameter choices in the kinetic part of the Hamiltonian can be explained
through an exact SUSY symmetry as well as a consequence of an accidental
symmetry under the Z2 action. By making use of the unitary transformation, we
construct coherent states for a family of PDM isospectral Hamiltonians from a
suitable choice of ladder operators. We show that these states preserve the
usual structure of Klauder-Perelomov s states and thus saturate and minimize
the generalized position-momentum uncertainty relation (GUR) under some special
restrictions. We show that GURs properties can be used to determine the sign of
the superpotential.
