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Correspondence rules in SU (3)

dc.contributor.advisorde Guise, Hubert
dc.contributor.authorNunes Martins, Alex Clesio
dc.description.abstractIn 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
dc.subjectQuantum mechanicsen_US
dc.subjectWigner functionen_US
dc.subjectQuasi-distribution functionsen_US
dc.titleCorrespondence rules in SU (3)en_US
dc.typeThesisen_US of Scienceen_US Universityen_US

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