in this thesis, i present a path to the correspondence rules for the generators of the su(3) symmetry and compare my results with the su(2) correspondence rules. using these rules, i obtain analytical expressions for the moyal bracket between the wigner symbol of a hamiltonian h , where this hamiltonian is written linearly or quadratically in terms of the generators, and the wigner symbol of a general operator b. i show that for the semiclassical limit, where the su(3) representation label tends to infinity, this moyal bracket reduces to a poisson bracket, which is the leading term of the expansion (in terms of the semiclassical parameter ), plus correction terms. finally, i present the analytical form of the second order correction term of the expansion of the moyal bracket.