Supersymmetric quantum mechanics on n-dimensional manifolds

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2011

Author dc:creator

• O'Connor, Michael

Contributors dc:contributor

• Stone, Michael

• supersymmetric
• quantum mechanics
• n-dimensional manifolds
• Riemannian manifolds

Statement dc:rights

• 1990 Michael O'Connor

Language dc:language

en

Identifier

3471861

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/18916