Citation
Odencrantz, Kristiana (1987) Effects of a magnetic field on the trace of the heat kernel for a Schrodinger operator with a potential well. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-09072005-130533
Abstract
This paper looks at the effect of a uniform magnetic field on the trace of the heat kernel for a Schrodinger operator with a well type potential. Using weighted Sobolev space techniques and noticing the gauge invariance of the perturbation, I show that the magnetic field first appears at a higher term in the small time asymptotic expansion of the trace of the heat kernel than might be naively expected.
| Item Type: | Thesis (Dissertation (Ph.D.)) |
|---|---|
| Degree Grantor: | California Institute of Technology |
| Division: | Physics, Mathematics and Astronomy |
| Major Option: | Mathematics |
| Thesis Availability: | Restricted to Caltech community only |
| Research Advisor(s): |
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| Thesis Committee: |
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| Defense Date: | 16 March 1987 |
| Record Number: | CaltechETD:etd-09072005-130533 |
| Persistent URL: | http://resolver.caltech.edu/CaltechETD:etd-09072005-130533 |
| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 3371 |
| Collection: | CaltechTHESIS |
| Deposited By: | Imported from ETD-db |
| Deposited On: | 12 Sep 2005 |
| Last Modified: | 26 Dec 2012 02:59 |
Thesis Files
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