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A space-time approach to quantum mechanics
Includes bibliographical references.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2015
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| _version_ | 1867613332667629568 |
|---|---|
| access_status_str | Open Access |
| author | Kirchner, Ulrich |
| author2 | Ellis, GFR |
| author_browse | Ellis, GFR Kirchner, Ulrich |
| author_facet | Ellis, GFR Kirchner, Ulrich |
| author_sort | Kirchner, Ulrich |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/14639 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:27.383Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2015 |
| publishDateRange | 2015 |
| publishDateSort | 2015 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/14639 A space-time approach to quantum mechanics Kirchner, Ulrich Ellis, GFR Applied Mathematics Includes bibliographical references. We present a systematic development and application of Geometric Algebra, an extended vector calculus. The entire algebraic structure, which is a graded Clifford algebra, is developed. To illustrate the derived results, examples are given for two and three dimensions. Here it becomes clear, how rotations and Lorentz boosts can be formulated in the Geometric Algebra. Further we realize that the Geometric Algebra contains elements, which can be used as representations of the complex unit. Having derived the necessary tools, we turn our attention to physics. We give applications to classical mechanics, quantum mechanics, ï¬ eld theory, curved manifolds, electromagnetism, and gravity as a gauge theory. 2015-11-04T10:37:00Z 2015-11-04T10:37:00Z 1999 Master Thesis Masters MSc http://hdl.handle.net/11427/14639 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Applied Mathematics Kirchner, Ulrich A space-time approach to quantum mechanics |
| thesis_degree_str | Master's |
| title | A space-time approach to quantum mechanics |
| title_full | A space-time approach to quantum mechanics |
| title_fullStr | A space-time approach to quantum mechanics |
| title_full_unstemmed | A space-time approach to quantum mechanics |
| title_short | A space-time approach to quantum mechanics |
| title_sort | space time approach to quantum mechanics |
| topic | Applied Mathematics |
| url | http://hdl.handle.net/11427/14639 |
| work_keys_str_mv | AT kirchnerulrich aspacetimeapproachtoquantummechanics AT kirchnerulrich spacetimeapproachtoquantummechanics |