Deformation quantization for contact interactions and dissipation

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dc.contributor.authorBelchev, Borislav Stefanov
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorWalton, Mark A.
dc.date.accessioned2011-08-08T18:38:30Z
dc.date.available2011-08-08T18:38:30Z
dc.date.issued2010
dc.degree.disciplinePhysics and Astronomy
dc.degree.fieldArts and Science
dc.degree.levelDoctor of Philosophy
dc.degree.levelPhD
dc.degree.subfieldSciences
dc.descriptioniii, 188 leaves ; 29 cmen_US
dc.description.abstractThis 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.identifier.urihttps://hdl.handle.net/10133/2490
dc.language.isoen_USen_US
dc.librarysymbolALU
dc.organizationUniversity of Lethbridge
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Physics and Astronomy, c2010en_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.subjectPhase space (Statistical physics)en_US
dc.subjectQuantum theoryen_US
dc.subjectDissertations, Academicen_US
dc.titleDeformation quantization for contact interactions and dissipationen_US
dc.typeThesisen_US
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