| 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 |
