Persistent Link:
http://hdl.handle.net/10150/280003
Title:
Pure and applied reflections on the reduced Maxwell-Bloch system
Author:
Agrotis, Maria
Issue Date:
2002
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:
We consider a reduced Maxwell-Bloch system with permanent dipole, and obtain a Lax pair representation, the Backlund transformation and the solitons solutions. Then we show, that this particular reduced Maxwell-Bloch system can be viewed as one among an infinite hierarchy of commuting systems. We obtain analytical formulae for the hamiltonians of each system in the hierarchy, and establish the conservation laws that govern the dynamics, and coupling between the potentials of the reduced Maxwell-Bloch system, and the potentials of the higher systems.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Mathematics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Mathematics
Degree Grantor:
University of Arizona
Advisor:
Ercolani, Nicholas

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titlePure and applied reflections on the reduced Maxwell-Bloch systemen_US
dc.creatorAgrotis, Mariaen_US
dc.contributor.authorAgrotis, Mariaen_US
dc.date.issued2002en_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.abstractWe consider a reduced Maxwell-Bloch system with permanent dipole, and obtain a Lax pair representation, the Backlund transformation and the solitons solutions. Then we show, that this particular reduced Maxwell-Bloch system can be viewed as one among an infinite hierarchy of commuting systems. We obtain analytical formulae for the hamiltonians of each system in the hierarchy, and establish the conservation laws that govern the dynamics, and coupling between the potentials of the reduced Maxwell-Bloch system, and the potentials of the higher systems.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectMathematics.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorErcolani, Nicholasen_US
dc.identifier.proquest3053867en_US
dc.identifier.bibrecord.b42811569en_US
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