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Files | Description | Format |
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application/pdf ![]() ![]() | 1990_connor |
Description
Title: | Supersymmetric quantum mechanics on n-dimensional manifolds |
Author(s): | O'Connor, Michael |
Doctoral Committee Chair(s): | Stone, Michael |
Department / Program: | Physics |
Discipline: | Physics |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | supersymmetric
quantum mechanics n-dimensional manifolds Riemannian 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. |
Issue Date: | 1990 |
Genre: | Dissertation / Thesis |
Type: | Text |
Language: | English |
URI: | http://hdl.handle.net/2142/18916 |
Rights Information: | 1990 Michael O'Connor |
Date Available in IDEALS: | 2011-05-04 |
Identifier in Online Catalog: | 3471861 |
This item appears in the following Collection(s)
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Dissertations and Theses - Physics
Dissertations in Physics -
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois