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 |
Files in This Item:
File | Description | Size | Format | |
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MartinsA2018m-1b.pdf | 1.23 MB | Adobe PDF | View/Open |
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