The behavior of the spectrum of several quantum mechanical spin systems in the infinite volume limit.

Persistent Link:
http://hdl.handle.net/10150/185880
Title:
The behavior of the spectrum of several quantum mechanical spin systems in the infinite volume limit.
Author:
Pokorny, Martin Peter.
Issue Date:
1992
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Various results concerning the spectra of the Ising model in a strong transverse field and the anisotropic Heisenberg antiferromagnet are proved. It is proved that the ground state energy of the Ising model in a strong transverse field in all dimensions converges to its infinite volume limit exponentially with a specific power law correction. It is also proved that this model in all dimensions has continuous spectrum in the infinite volume limit. For the anisotropic Heisenberg antiferromagnet it is proved that in dimensions of at least two, the energy spectrum contains a continuous part in the infinite volume limit. All results are obtained by perturbation theory using polymer expansions.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic.; Physics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Applied Mathematics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Kennedy, Thomas G.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleThe behavior of the spectrum of several quantum mechanical spin systems in the infinite volume limit.en_US
dc.creatorPokorny, Martin Peter.en_US
dc.contributor.authorPokorny, Martin Peter.en_US
dc.date.issued1992en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractVarious results concerning the spectra of the Ising model in a strong transverse field and the anisotropic Heisenberg antiferromagnet are proved. It is proved that the ground state energy of the Ising model in a strong transverse field in all dimensions converges to its infinite volume limit exponentially with a specific power law correction. It is also proved that this model in all dimensions has continuous spectrum in the infinite volume limit. For the anisotropic Heisenberg antiferromagnet it is proved that in dimensions of at least two, the energy spectrum contains a continuous part in the infinite volume limit. All results are obtained by perturbation theory using polymer expansions.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectDissertations, Academic.en_US
dc.subjectPhysics.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineApplied Mathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorKennedy, Thomas G.en_US
dc.contributor.committeememberFaris, William G.en_US
dc.contributor.committeememberMaier, Robert S.en_US
dc.identifier.proquest9234878en_US
dc.identifier.oclc712789782en_US
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