Aspects of deterministic chaos in classical and quantum mechanical systems.

Persistent Link:
http://hdl.handle.net/10150/186219
Title:
Aspects of deterministic chaos in classical and quantum mechanical systems.
Author:
Yu, Lin-Yu.
Issue Date:
1993
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 have found some fresh and important results in both classical and quantum dynamical systems. The understanding of the order within Hamiltonian chaos is enhanced particularly by the studies of novel systems that generate the stochastic web, both in classical and quantum systems. The most significant result in this dissertation is established by our counter examples to the common belief in the absence of deterministic chaos in quantum systems. Our examples deal with a periodically kicked quantum spin (PKQS) and with the superconducting systems described by a time-dependent Hamiltonian and a time-independent one. The asymptotic property of the Lyapunov exponents in Hamiltonian systems is also intensively investigated.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic.; Physics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Physics; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Parmenter, Robert H.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleAspects of deterministic chaos in classical and quantum mechanical systems.en_US
dc.creatorYu, Lin-Yu.en_US
dc.contributor.authorYu, Lin-Yu.en_US
dc.date.issued1993en_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 have found some fresh and important results in both classical and quantum dynamical systems. The understanding of the order within Hamiltonian chaos is enhanced particularly by the studies of novel systems that generate the stochastic web, both in classical and quantum systems. The most significant result in this dissertation is established by our counter examples to the common belief in the absence of deterministic chaos in quantum systems. Our examples deal with a periodically kicked quantum spin (PKQS) and with the superconducting systems described by a time-dependent Hamiltonian and a time-independent one. The asymptotic property of the Lyapunov exponents in Hamiltonian systems is also intensively investigated.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.disciplinePhysicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairParmenter, Robert H.en_US
dc.contributor.committeememberCarruthers, Peter A.en_US
dc.contributor.committeememberGarcia, J. D.en_US
dc.contributor.committeememberSarcevic, Inaen_US
dc.contributor.committeememberTam, Wing Yimen_US
dc.identifier.proquest9322729en_US
dc.identifier.oclc716211224en_US
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