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Title:Supersymmetric quantum mechanics on n-dimensional manifolds
Author(s):O'Connor, Michael
Doctoral Committee Chair(s):Stone, Michael
Department / Program:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Physics, Elementary Particles and High Energy
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
Rights Information:Copyright 1990 O'Connor, Michael
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9114365
OCLC Identifier:(UMI)AAI9114365

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