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Thesis (Ph. D.)--University of Texas at Austin, 2001. / Vita. Includes bibliographical references (leaves 80-84). Available also in a digital version from Dissertation Abstracts.

Thesis (Ph.D.)--Victoria University of Wellington, 2007. / "Version 1.1, 16 August 2007 (including corrections)" Includes bibliographical references.

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. / iii, 188 leaves ; 29 cm

Thesis (Ph. D.)--Washington State University, May 2008. / Includes bibliographical references.

Not available / text

Thesis (Ph. D.)--Physics, Georgia Institute of Technology, 2008. / Committee Chair: Uzer, Turgay; Committee Member: Aral, Mustafa; Committee Member: Flannery, Raymond; Committee Member: Raman, Chandra; Committee Member: Schatz, Michael.

Thesis (M.S.)--State University of New York at Binghamton, Watson School of Engineering and Applied Science (Electrical Engineering), 2007. / Includes bibliographical references.

Thesis (Ph. D.)--University of Texas at Austin, 2004. / Supervisor: Herbert L. Berk. Vita. Includes bibliographical references.

Orientador: Diógenes Galetti / Banca: Marcus Aloizio Martinez de Aguiar / Banca: Marcelo de Oliveira Terra Cunha / Resumo: Quando temos sistemas quânticos sem análogo clássico a descrição de Weyl- Wigner, para o espaço de fase quântico, não pode ser utilizada, pois a mesma não representa graus de liberdade associados a grandezas discretas. Um exemplo desses sistemas são os estados emaranhados bipartites de spin 1/2. Para tal, se faz necessária a descrição de um espaço de fase quântico discreto e de dimensão finita. Nessa descrição é possível se obter a caracterização do emaranhamento, bem como quantificar o grau dessas correlações entre os sub sistemas; além do que, há a possibilidade de calcular a evolução temporal nessa descrição, tanto para o sistema como um todo quanto para o emaranhamento / Abstract: For quantum systems without classical analog the Weyl-Wigner description associated to quantum phase space can not be used, since it does not represent degrees of freedom associated with discrete quantities. An example of these systems are spin 1/2 bipartite entangled states. For them, it is needed a discrete quantum phase space description which have nite dimension. In this description, it is possible to obtain entanglement characterization, and to quantify the correlation degree between the subsystems; there is also the possibility of calculating the time evolution, in this description, both for the system as a whole as well as for the entanglement / Mestre