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Deformation quantization for contact interactions and dissipation

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dc.contributor.advisor Walton, Mark A
dc.contributor.author Belchev, Borislav Stefanov
dc.contributor.author University of Lethbridge. Faculty of Arts and Science
dc.date.accessioned 2011-08-08T18:38:30Z
dc.date.available 2011-08-08T18:38:30Z
dc.date.issued 2010
dc.identifier.uri http://hdl.handle.net/10133/2490
dc.description iii, 188 leaves ; 29 cm en_US
dc.description.abstract This thesis studies deformation quantization and its application to contact interactions and systems with dissipation. We consider the subtleties related to quantization when contact interactions and boundaries are present. We exploit the idea that discontinuous potentials are idealizations that should be realized as limits of smooth potentials. The Wigner functions are found for the Morse potential and in the proper limit they reduce to the Wigner functions for the infinite wall, for the most general (Robin) boundary conditions. This is possible for a very limited subset of the values of the parameters -- so-called fine tuning is necessary. It explains why Dirichlet boundary conditions are used predominantly. Secondly, we consider deformation quantization in relation to dissipative phenomena. For the damped harmonic oscillator we study a method using a modified noncommutative star product. Within this framework we resolve the non-reality problem with the Wigner function and correct the classical limit. en_US
dc.language.iso en_US en_US
dc.publisher Lethbridge, Alta. : University of Lethbridge, Dept. of Physics and Astronomy, c2010 en_US
dc.relation.ispartofseries Thesis (University of Lethbridge. Faculty of Arts and Science) en_US
dc.subject Phase space (Statistical physics) en_US
dc.subject Quantum theory en_US
dc.subject Dissertations, Academic en_US
dc.title Deformation quantization for contact interactions and dissipation 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 Doctor of Philosophy
dc.degree.discipline Physics and Astronomy
dc.organization University of Lethbridge
dc.librarysymbol ALU
dc.degree.field Arts and Science
dc.degree.subfield Sciences

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