  This paper presents a method to describe dynamics of an ion confined in a
realistic finite range trap. We model this realistic potential with a solvable
one and we obtain dynamical variables (raising and lowering operators) of this
potential. We consider coherent interaction of this confined ion in a finite
range trap and we show that its center-of-mass motion steady state is a special
kind of nonlinear coherent states. Physical properties of this state and their
dependence on the finite range of potential are studied.
