{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/22659"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/22659","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Supersymmetric quantum mechanics on n-dimensional manifolds","abstract":"In this thesis I investigate the properties of the supersymmetric path integral on Riemannian manifolds. Chapter 1 is a brief introduction to supersymmetric quantum mechanics. In Chapter 2 I show that the supersymmetric path integral can be defined as the continuum limit of a discrete supersymmetric path integral. In Chapter 3 I show that point canonical transformations in the path integral for ordinary quantum mechanics can be performed naively provided one uses the supersymmetric path integral. Chapter 4 generalizes the results of chapter 3 to include the propagation of all the fermion sectors in supersymmetric quantum mechanics. In Chapter 5 I show how the properties of supersymmetric quantum mechanics can be used to investigate topological quantum mechanics.","abstract_html":"In this thesis I investigate the properties of the supersymmetric path integral on Riemannian manifolds. Chapter 1 is a brief introduction to supersymmetric quantum mechanics. In Chapter 2 I show that the supersymmetric path integral can be defined as the continuum limit of a discrete supersymmetric path integral. In Chapter 3 I show that point canonical transformations in the path integral for ordinary quantum mechanics can be performed naively provided one uses the supersymmetric path integral. Chapter 4 generalizes the results of chapter 3 to include the propagation of all the fermion sectors in supersymmetric quantum mechanics. In Chapter 5 I show how the properties of supersymmetric quantum mechanics can be used to investigate topological quantum mechanics.","abstract_has_math":false,"creators":["O'Connor, Michael"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Stone, Michael"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T13:47:08Z","date_published":"2011-05-07T13:47:08Z","updated_at":"2026-07-22T22:25:20Z","subjects":["Physics, Elementary Particles and High Energy"],"languages":["eng"],"rights":["Copyright 1990 O'Connor, Michael"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9114365","(UMI)AAI9114365"],"render_values":[{"text":"AAI9114365","href":null,"code":true},{"text":"(UMI)AAI9114365","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/22659","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Stone, Michael"]},{"key":"dc:creator","label":"Author","values":["O'Connor, Michael"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T13:47:08Z","10000-01-01","1990"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Physics, Elementary Particles and High Energy"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1990 O'Connor, Michael"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9114365","(UMI)AAI9114365","http://hdl.handle.net/2142/22659"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["In this thesis I investigate the properties of the supersymmetric path integral on Riemannian manifolds. 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Chapter 1 is a brief introduction to supersymmetric quantum mechanics. In Chapter 2 I show that the supersymmetric path integral can be defined as the continuum limit of a discrete supersymmetric path integral. In Chapter 3 I show that point canonical transformations in the path integral for ordinary quantum mechanics can be performed naively provided one uses the supersymmetric path integral. Chapter 4 generalizes the results of chapter 3 to include the propagation of all the fermion sectors in supersymmetric quantum mechanics. In Chapter 5 I show how the properties of supersymmetric quantum mechanics can be used to investigate topological quantum mechanics.","Made available in DSpace on 2011-05-07T13:47:08Z (GMT). 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