Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Flow equations for hamiltonians from continuous unitary transformations
Thesis (MSc)--Stellenbosch University, 2003.
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | en_ZA |
| Published: |
Stellenbosch : Stellenbosch University
2012
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613842788319232 |
|---|---|
| access_status_str | Open Access |
| author | Bartlett, Bruce |
| author2 | Scholtz, Frederik G. |
| author_browse | Bartlett, Bruce Scholtz, Frederik G. |
| author_facet | Scholtz, Frederik G. Bartlett, Bruce |
| author_sort | Bartlett, Bruce |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (MSc)--Stellenbosch University, 2003. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/53428 |
| institution | Stellenbosch University (South Africa) |
| language | en_ZA |
| last_indexed | 2026-06-10T12:42:33.557Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2012 |
| publishDateRange | 2012 |
| publishDateSort | 2012 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/53428 Flow equations for hamiltonians from continuous unitary transformations Bartlett, Bruce Scholtz, Frederik G. Geyer, H. B. Stellenbosch University. Faculty of Science. Dept. of Physics . Hamiltonian systems Equations Unitary transformations Dissertations -- Physics Theses -- Physics Thesis (MSc)--Stellenbosch University, 2003. ENGLISH ABSTRACT: This thesis presents an overview of the flow equations recently introduced by Wegner. The little known mathematical framework is established in the initial chapter and used as a background for the entire presentation. The application of flow equations to the Foldy-Wouthuysen transformation and to the elimination of the electron-phonon coupling in a solid is reviewed. Recent flow equations approaches to the Lipkin model are examined thoroughly, paying special attention to their utility near the phase change boundary. We present more robust schemes by requiring that expectation values be flow dependent; either through a variational or self-consistent calculation. The similarity renormalization group equations recently developed by Glazek and Wilson are also reviewed. Their relationship to Wegner's flow equations is investigated through the aid of an instructive model. AFRIKAANSE OPSOMMING: Hierdie tesis bied 'n oorsig van die vloeivergelykings soos dit onlangs deur Wegner voorgestel is. Die betreklik onbekende wiskundige raamwerk word in die eerste hoofstuk geskets en deurgans as agtergrond gebruik. 'n Oorsig word gegee van die aanwending van die vloeivergelyking vir die Foldy-Wouthuysen transformasie en die eliminering van die elektron-fonon wisselwerking in 'n vastestof. Onlangse benaderings tot die Lipkin model, deur middel van vloeivergelykings, word ook deeglik ondersoek. Besondere aandag word gegee aan hul aanwending naby fasegrense. 'n Meer stewige skema word voorgestel deur te vereis dat verwagtingswaardes vloei-afhanklik is; óf deur gevarieerde óf self-konsistente berekenings. 'n Inleiding tot die gelyksoortigheids renormerings groep vergelykings, soos onlangs ontwikkel deur Glazek en Wilson, word ook aangebied. Hulle verwantskap met die Wegner vloeivergelykings word bespreek aan die hand van 'n instruktiewe voorbeeld. 2012-08-27T11:35:28Z 2012-08-27T11:35:28Z 2003-03 Thesis http://hdl.handle.net/10019.1/53428 en_ZA Stellenbosch University 78 p. : ill. application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Hamiltonian systems Equations Unitary transformations Dissertations -- Physics Theses -- Physics Bartlett, Bruce Flow equations for hamiltonians from continuous unitary transformations |
| title | Flow equations for hamiltonians from continuous unitary transformations |
| title_full | Flow equations for hamiltonians from continuous unitary transformations |
| title_fullStr | Flow equations for hamiltonians from continuous unitary transformations |
| title_full_unstemmed | Flow equations for hamiltonians from continuous unitary transformations |
| title_short | Flow equations for hamiltonians from continuous unitary transformations |
| title_sort | flow equations for hamiltonians from continuous unitary transformations |
| topic | Hamiltonian systems Equations Unitary transformations Dissertations -- Physics Theses -- Physics |
| url | http://hdl.handle.net/10019.1/53428 |
| work_keys_str_mv | AT bartlettbruce flowequationsforhamiltoniansfromcontinuousunitarytransformations |