Potential canonical framework for quantum-classical dynamics

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dc.contributor.authorAmin Hemeida, Mustafa
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorWalton, Mark A.
dc.date.accessioned2021-05-12T21:58:45Z
dc.date.available2021-05-12T21:58:45Z
dc.date.issued2021
dc.degree.levelMastersen_US
dc.description.abstractDynamical brackets lie at the heart of fundamental physical theories. They are Lie brackets that obey the Leibniz rule with respect to a suitable composition product. The pair ``composition product'' and ``dynamical bracket'' define a formal dynamical structure that is common to classical and quantum mechanics. Without properties like the Jacobi identity and the Leibniz rule, the consistency of a dynamical framework cannot be guaranteed. This work investigates the possibility of combining quantum and classical dynamics into a single, consistent framework. We generalize previous attempts and discuss no-go theorems that assert their inconsistency. We show that the Jacobi identity and Leibniz rule are satisfied provided there exists an associative product for hybrid variables. This condition motivates the construction of associative subalgebras over which quantum-classical dynamics is consistent: perhaps hybrid observables are constrained to belong to such algebras. If so, only certain interactions between quantum and classical systems would be allowed.en_US
dc.identifier.urihttps://hdl.handle.net/10133/5884
dc.language.isoenen_US
dc.proquest.subject0605en_US
dc.proquest.subject0753en_US
dc.proquestyesYesen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Physics and Astronomyen_US
dc.publisher.departmentDepartment of Physics & Astronomyen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectphysicsen_US
dc.subjectclassical mechanicsen_US
dc.subjectquantum mechanicsen_US
dc.subjecthybrid mechanicsen_US
dc.subjectquantum-classical interactionen_US
dc.subjectquantum-classical mechanicsen_US
dc.subjectMechanicsen_US
dc.subjectQuantum theoryen_US
dc.subjectPhase space (Statistical physics)en_US
dc.subjectDissertations, Academicen_US
dc.titlePotential canonical framework for quantum-classical dynamicsen_US
dc.typeThesisen_US
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