Effects of a Magnetic Field on the Trace of the Heat Kernel for a Schrödinger Operator with a Potential Well

Citation

Odencrantz, Kristiana (1987) Effects of a Magnetic Field on the Trace of the Heat Kernel for a Schrödinger Operator with a Potential Well. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/vd33-hs32. https://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.))
Subject Keywords:	Mathematics
Degree Grantor:	California Institute of Technology
Division:	Physics, Mathematics and Astronomy
Major Option:	Mathematics
Thesis Availability:	Public (worldwide access)
Research Advisor(s):	Simon, Barry M.
Thesis Committee:	Simon, Barry M. (chair) Taylor, Michael E. Anderson, Michael Thomas Luxemburg, W. A. J.
Defense Date:	16 March 1987
Record Number:	CaltechETD:etd-09072005-130533
Persistent URL:	https://resolver.caltech.edu/CaltechETD:etd-09072005-130533
DOI:	10.7907/vd33-hs32
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:	19 Apr 2021 22:33

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