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Effects of a magnetic field on the trace of the heat kernel for a Schrodinger operator with a potential well

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):
  • Simon, Barry M.
Thesis Committee:
  • Unknown, Unknown
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

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