  In this paper we try to introduce the ladder operators associated with the
pseudoharmonic oscillator, after solving the corresponding Schr\"{o}dinger
equation by using the factorization method. The obtained generalized raising
and lowering operators naturally lead us to the Dirac representation space of
the system which is very easier to work with, in comparison to the functional
Hilbert space. The SU(1,1) dynamical symmetry group associated with the
considered system is exactly established through investigating the fact that
the deduced operators satisfy appropriate commutation relations. This result
enables us to construct two important and distinct classes of Barut-Girardello
and Gilmore-Perelomov coherent states associated with the system. Finally,
their identities as the most important task are exactly resolved and some of
their nonclassical properties are illustrated, numerically.
