A flow equation approach to semi-classical approximations : a comparison with the WKB method

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dc.contributor.advisorScholtz, Frederik G.en_ZA
dc.contributor.advisorGeyer, H. B.en_ZA
dc.contributor.authorThom, Jacobus Danielen_ZA
dc.contributor.otherUniversity of Stellenbosch. Faculty of Science. Dept. of Physics.
dc.date.accessioned2008-08-04T09:21:33Zen_ZA
dc.date.accessioned2010-06-01T08:48:01Z
dc.date.available2008-08-04T09:21:33Zen_ZA
dc.date.available2010-06-01T08:48:01Z
dc.date.issued2006-12en_ZA
dc.descriptionThesis (MSc (Physics))--University of Stellenbosch, 2006.
dc.description.abstractThe 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.en_ZA
dc.identifier.urihttp://hdl.handle.net/10019.1/2405
dc.language.isoenen_ZA
dc.publisherStellenbosch : University of Stellenbosch
dc.rights.holderUniversity of Stellenbosch
dc.subjectWKB approximationen
dc.subjectApproximation theoryen
dc.subjectFlow equationsen
dc.subjectDissertations -- Physicsen
dc.subjectTheses -- Physicsen
dc.titleA flow equation approach to semi-classical approximations : a comparison with the WKB methoden_ZA
dc.typeThesisen_ZA
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