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A flow equation approach to semi-classical approximations : a comparison with the WKB method
Thesis (MSc (Physics))--University of Stellenbosch, 2006.
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| Format: | Thesis |
| Language: | English |
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Stellenbosch : University of Stellenbosch
2008
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| _version_ | 1867614106521960448 |
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| access_status_str | Open Access |
| author | Thom, Jacobus Daniel |
| author2 | Scholtz, Frederik G. |
| author_browse | Scholtz, Frederik G. Thom, Jacobus Daniel |
| author_facet | Scholtz, Frederik G. Thom, Jacobus Daniel |
| author_sort | Thom, Jacobus Daniel |
| collection | Thesis |
| dc_rights_str_mv | University of Stellenbosch |
| description | Thesis (MSc (Physics))--University of Stellenbosch, 2006. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/2405 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:46:45.739Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2008 |
| publishDateRange | 2008 |
| publishDateSort | 2008 |
| 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:10019.1/2405 A flow equation approach to semi-classical approximations : a comparison with the WKB method Thom, Jacobus Daniel Scholtz, Frederik G. Geyer, H. B. University of Stellenbosch. Faculty of Science. Dept. of Physics. WKB approximation Approximation theory Flow equations Dissertations -- Physics Theses -- Physics Thesis (MSc (Physics))--University of Stellenbosch, 2006. The aim of this thesis is the semi-classical implementation of Wegner’s flow equations and comparison with the well-established Wentzel-Kramers-Brillouin method. We do this by converting operators, in particular the Hamiltonian, into scalar functions, while an isomorphism with the operator product is maintained by the introduction of the Moyal product. A flow equation in terms of these scalar functions is set up and then approximated by expanding it to first order in ~. We apply this method to two potentials, namely the quartic anharmonic oscillator and the symmetric double-well potential. Results obtained via the flow equations are then compared with those obtained from the WKB method. 2008-08-04T09:21:33Z 2010-06-01T08:48:01Z 2008-08-04T09:21:33Z 2010-06-01T08:48:01Z 2006-12 Thesis http://hdl.handle.net/10019.1/2405 en University of Stellenbosch application/pdf Stellenbosch : University of Stellenbosch |
| spellingShingle | WKB approximation Approximation theory Flow equations Dissertations -- Physics Theses -- Physics Thom, Jacobus Daniel A flow equation approach to semi-classical approximations : a comparison with the WKB method |
| title | A flow equation approach to semi-classical approximations : a comparison with the WKB method |
| title_full | A flow equation approach to semi-classical approximations : a comparison with the WKB method |
| title_fullStr | A flow equation approach to semi-classical approximations : a comparison with the WKB method |
| title_full_unstemmed | A flow equation approach to semi-classical approximations : a comparison with the WKB method |
| title_short | A flow equation approach to semi-classical approximations : a comparison with the WKB method |
| title_sort | flow equation approach to semi classical approximations a comparison with the wkb method |
| topic | WKB approximation Approximation theory Flow equations Dissertations -- Physics Theses -- Physics |
| url | http://hdl.handle.net/10019.1/2405 |
| work_keys_str_mv | AT thomjacobusdaniel aflowequationapproachtosemiclassicalapproximationsacomparisonwiththewkbmethod AT thomjacobusdaniel flowequationapproachtosemiclassicalapproximationsacomparisonwiththewkbmethod |