Augmenting phase space quantization to introduce additional physical effects

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dc.contributor.authorRobbins, Matthew P. G.
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorWalton, Mark A.
dc.date.accessioned2017-10-02T21:44:43Z
dc.date.available2017-10-02T21:44:43Z
dc.date.issued2017
dc.degree.levelMastersen_US
dc.description.abstractQuantum mechanics can be done using classical phase space functions and a star product. The state of the system is described by a quasi-probability distribution. A classical system can be quantized in phase space in different ways with different quasi-probability distributions and star products. A transition differential operator relates different phase space quantizations. The objective of this thesis is to introduce additional physical effects into the process of quantization by using the transition operator. As prototypical examples, we first look at the coarse-graining of the Wigner function and the damped simple harmonic oscillator. By generalizing the transition operator and star product to also be functions of the position and momentum, we show that additional physical features beyond damping and coarse-graining can be introduced into a quantum system, including the generalized uncertainty principle of quantum gravity phenomenology, driving forces, and decoherence.en_US
dc.embargoNoen_US
dc.identifier.urihttps://hdl.handle.net/10133/4923
dc.language.isoen_USen_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 and Astronomyen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectaugmented quantizationen_US
dc.subjectphase space quantum mechanicsen_US
dc.subjectquantizationen_US
dc.subjectstar producten_US
dc.subjecttransition operatoren_US
dc.titleAugmenting phase space quantization to introduce additional physical effectsen_US
dc.typeThesisen_US
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