University of Illinois at Urbana-Champaign
Supersymmetric quantum mechanics on n-dimensional manifolds
Abstract
dc:descriptionIn 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.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Physics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2011
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- O'Connor, Michael
- Contributors dc:contributor
-
- Stone, Michael
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- Copyright 1990 O'Connor, Michael
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
-
AAI9114365
(UMI)AAI9114365 - OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/22659