|dc.description.abstract||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.||en_US