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dc.contributor.supervisor Walton, Mark A.
dc.contributor.author Robbins, Matthew P. G.
dc.contributor.author University of Lethbridge. Faculty of Arts and Science
dc.date.accessioned 2017-10-02T21:44:43Z
dc.date.available 2017-10-02T21:44:43Z
dc.date.issued 2017
dc.identifier.uri https://hdl.handle.net/10133/4923
dc.description.abstract Quantum 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.language.iso en_US en_US
dc.publisher Lethbridge, Alta : University of Lethbridge, Dept. of Physics and Astronomy en_US
dc.relation.ispartofseries Thesis (University of Lethbridge. Faculty of Arts and Science) en_US
dc.subject augmented quantization en_US
dc.subject phase space quantum mechanics en_US
dc.subject quantization en_US
dc.subject star product en_US
dc.subject transition operator en_US
dc.title Augmenting phase space quantization to introduce additional physical effects en_US
dc.type Thesis en_US
dc.publisher.faculty Arts and Science en_US
dc.publisher.department Department of Physics and Astronomy en_US
dc.degree.level Masters en_US
dc.proquest.subject 0753 en_US
dc.proquestyes Yes en_US
dc.embargo No en_US


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