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DC Field | Value | Language |
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dc.contributor.advisor | de Guise, Hubert | - |
dc.contributor.author | Nunes Martins, Alex Clesio | - |
dc.date.accessioned | 2018-11-19T16:04:39Z | - |
dc.date.available | 2018-11-19T16:04:39Z | - |
dc.date.created | 2018 | - |
dc.date.issued | 2018 | - |
dc.identifier.uri | http://knowledgecommons.lakeheadu.ca/handle/2453/4322 | - |
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 |
dc.language.iso | en_US | en_US |
dc.subject | Quantum mechanics | en_US |
dc.subject | Wigner function | en_US |
dc.subject | Quasi-distribution functions | en_US |
dc.title | Correspondence rules in SU (3) | en_US |
dc.type | Thesis | en_US |
etd.degree.name | Master of Science | en_US |
etd.degree.level | Master | en_US |
etd.degree.discipline | Physics | en_US |
etd.degree.grantor | Lakehead University | en_US |
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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