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Non-commutative quantum mechanics : properties of piecewise constant potentials in two dimensions
Thesis (PhD (Physics))--University of Stellenbosch, 2010.
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| Format: | Thesis |
| Language: | English |
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Stellenbosch : University of Stellenbosch
2010
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| _version_ | 1867613930030891008 |
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| access_status_str | Open Access |
| author | Thom, Jacobus D. (Jacobus Daniel) |
| author2 | Scholtz, Frederik G. |
| author_browse | Scholtz, Frederik G. Thom, Jacobus D. (Jacobus Daniel) |
| author_facet | Scholtz, Frederik G. Thom, Jacobus D. (Jacobus Daniel) |
| author_sort | Thom, Jacobus D. (Jacobus Daniel) |
| collection | Thesis |
| dc_rights_str_mv | University of Stellenbosch |
| description | Thesis (PhD (Physics))--University of Stellenbosch, 2010. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/5210 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:43:57.787Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2010 |
| publishDateRange | 2010 |
| publishDateSort | 2010 |
| publisher | Stellenbosch : University of Stellenbosch |
| publisherStr | Stellenbosch : University of Stellenbosch |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/5210 Non-commutative quantum mechanics : properties of piecewise constant potentials in two dimensions Thom, Jacobus D. (Jacobus Daniel) Scholtz, Frederik G. Geyer, H. B. University of Stellenbosch. Faculty of Science. Dept. of Physics. Scattering theory Quantum field theory Dissertations -- Physics Theses -- Physics Non-commutative quantum mechanics Piecewise constant potentials Thesis (PhD (Physics))--University of Stellenbosch, 2010. ENGLISH ABSTRACT: The aim of this thesis is threefold. Firstly, I give an overview of non-commutative quan- tum mechanics and build up a description of non-commutative piecewise constant poten- tial wells in this context. Secondly, I look at some of the stationary properties of a finite non-commutative well using the mathematical tools laid out in the first part. Lastly, I in- vestigate how non-commutativity affects the tunneling rate through a barrier. Throughout this work I give the normal commutative descriptions and results for comparsion. AFRIKAANSE OPSOMMING: Die doel van hierdie tesis is drievoudig. Eerstens gee ek ’n oorsig van niekommutatiewe kwantummeganika en bou daarmee ’n beskrywing van niekommutatiewe deelswyskon- stante potensiaal putte op. Tweedens kyk ek na ’n paar van die stasionˆere eienskappe van ’n eindige niekommutatiewe potensiaal put deur die wiskunde te gebruik wat in die eerste deel uiteengesit is. Laastens ondersoek ek hoe niekommutatiwiteit die spoed van tonneling deur ’n potensiaal wal be¨ınvloed. Dwarsdeur die hierdie hele tesis gee ek die normale kommutatiewe beskrywings en resultate vir maklike vergelyking. Doctoral 2010-11-18T11:45:28Z 2010-12-15T10:21:57Z 2010-11-18T11:45:28Z 2010-12-15T10:21:57Z 2010-12 Thesis http://hdl.handle.net/10019.1/5210 en University of Stellenbosch 62 p. : ill. application/pdf Stellenbosch : University of Stellenbosch |
| spellingShingle | Scattering theory Quantum field theory Dissertations -- Physics Theses -- Physics Non-commutative quantum mechanics Piecewise constant potentials Thom, Jacobus D. (Jacobus Daniel) Non-commutative quantum mechanics : properties of piecewise constant potentials in two dimensions |
| title | Non-commutative quantum mechanics : properties of piecewise constant potentials in two dimensions |
| title_full | Non-commutative quantum mechanics : properties of piecewise constant potentials in two dimensions |
| title_fullStr | Non-commutative quantum mechanics : properties of piecewise constant potentials in two dimensions |
| title_full_unstemmed | Non-commutative quantum mechanics : properties of piecewise constant potentials in two dimensions |
| title_short | Non-commutative quantum mechanics : properties of piecewise constant potentials in two dimensions |
| title_sort | non commutative quantum mechanics properties of piecewise constant potentials in two dimensions |
| topic | Scattering theory Quantum field theory Dissertations -- Physics Theses -- Physics Non-commutative quantum mechanics Piecewise constant potentials |
| url | http://hdl.handle.net/10019.1/5210 |
| work_keys_str_mv | AT thomjacobusdjacobusdaniel noncommutativequantummechanicspropertiesofpiecewiseconstantpotentialsintwodimensions |