Please use this identifier to cite or link to this item: https://knowledgecommons.lakeheadu.ca/handle/2453/4322
Title: Correspondence rules in SU (3)
Authors: Nunes Martins, Alex Clesio
Keywords: Quantum mechanics;Wigner function;Quasi-distribution functions
Issue Date: 2018
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.
URI: http://knowledgecommons.lakeheadu.ca/handle/2453/4322
metadata.etd.degree.discipline: Physics
metadata.etd.degree.name: Master of Science
metadata.etd.degree.level: Master
metadata.dc.contributor.advisor: de Guise, Hubert
Appears in Collections:Electronic Theses and Dissertations from 2009

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