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Toward a formalism for the identification of topological phenomena in classical dynamics
Thesis (MSc)--Stellenbosch University, 2025.
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Stellenbosch : Stellenbosch University
2025
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| _version_ | 1867613744643702784 |
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| access_status_str | Open Access |
| author | Folscher, Nicholas Christian |
| author2 | Scholtz, F. G. |
| author_browse | Folscher, Nicholas Christian Scholtz, F. G. |
| author_facet | Scholtz, F. G. Folscher, Nicholas Christian |
| author_sort | Folscher, Nicholas Christian |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (MSc)--Stellenbosch University, 2025. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/132359 |
| institution | Stellenbosch University (South Africa) |
| last_indexed | 2026-06-10T12:41:00.939Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/132359 Toward a formalism for the identification of topological phenomena in classical dynamics Folscher, Nicholas Christian Scholtz, F. G. Stellenbosch University. Faculty of Science. Dept. of Physics. Quantum systems Topological dynamics -- Mathematical models Topological insulators Geometric quantum phases Phase space (Statistical physics) -- Measurement Differential equations Spintronics UCTD Thesis (MSc)--Stellenbosch University, 2025. Folscher, N. C. 2025. Toward A Formalism For The Identification Of Topological Phenomena In Classical Dynamics. Unpublished masters thesis. Stellenbosch: Stellenbosch University [online]. Available: https://scholar.sun.ac.za/items/0c03a3c0-3c5a-4069-a5f9-e09a2436294e ENGLISH ABSTRACT: Bulk-boundary correspondence phenomena have seen their most rigorous study within the context of quantum systems, such as topological insulators and spintronics. However in recent years, quantum methods have been adapted to identify topologically protected edge states in classical continuum systems. While these studies have found success, these adapted methods fail to provide information about particle behavior in the region of interest. In this thesis, we establish a mathematical basis from which topological phenomena on the level of classical particle dynamics can be understood. This basis is developed in terms of phase spaces of arbitrary dimension, and is thus poised for an extension to the evolution of phase space density functions, and subsequent topologically sensitive fluid models. AFRIKAANSE OPSOMMING: Geen opsomming beskikbaar. Masters 2025-06-04T14:22:45Z 2025-06-04T14:22:45Z 2025-03 Thesis https://scholar.sun.ac.za/handle/10019.1/132359 Stellenbosch University vii, 82 pages : illustrations application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Quantum systems Topological dynamics -- Mathematical models Topological insulators Geometric quantum phases Phase space (Statistical physics) -- Measurement Differential equations Spintronics UCTD Folscher, Nicholas Christian Toward a formalism for the identification of topological phenomena in classical dynamics |
| title | Toward a formalism for the identification of topological phenomena in classical dynamics |
| title_full | Toward a formalism for the identification of topological phenomena in classical dynamics |
| title_fullStr | Toward a formalism for the identification of topological phenomena in classical dynamics |
| title_full_unstemmed | Toward a formalism for the identification of topological phenomena in classical dynamics |
| title_short | Toward a formalism for the identification of topological phenomena in classical dynamics |
| title_sort | toward a formalism for the identification of topological phenomena in classical dynamics |
| topic | Quantum systems Topological dynamics -- Mathematical models Topological insulators Geometric quantum phases Phase space (Statistical physics) -- Measurement Differential equations Spintronics UCTD |
| url | https://scholar.sun.ac.za/handle/10019.1/132359 |
| work_keys_str_mv | AT folschernicholaschristian towardaformalismfortheidentificationoftopologicalphenomenainclassicaldynamics |