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dc.contributor.authorPuga, Alejandroen_US
dc.date.accessioned2014-07-22T18:47:46Z
dc.date.available2014-07-22T18:47:46Z
dc.date.created2009en_US
dc.date.issued2009en_US
dc.identifieretd-10162009-115824en_US
dc.identifierumi-10078en_US
dc.identifiercat-001495725en_US
dc.identifier.urihttps://repository.tcu.edu:443/handle/116099117/4181
dc.descriptionTitle from dissertation title page (viewed Nov. 2, 2009).en_US
dc.descriptionIncludes abstract.en_US
dc.descriptionThesis (Ph.D.)--Texas Christian University, 2009.en_US
dc.descriptionDepartment of Physics and Astronomy; advisor, Bruce N. Miller.en_US
dc.descriptionIncludes bibliographical references.en_US
dc.descriptionText (electronic thesis) in PDF.en_US
dc.descriptionPhysicists have used billiards to understand and explore both classical and quantum chaos. Recently, in 2001, a group at the University of Texas introduced an experimental set up for modeling the wedge billiard geometry called optical billiard in two dimensions. For the temperature range that was explored, this experiment is more closely related with classical rather than quantum chaos. The motivation for the present work was born from the idea of laying the foundations of a quantum treatment for optical billiards. We call it ``The Escape Problem'', and approach it by applying the concept of a Transparent Boundary Condition (TBC). Since a four-dimensional phase space is computationally very difficult to investigate, here we will explore a pair of one-dimensional examples. First, as a benchmark, we will consider the classical regime by analyzing a "gas of particles'' limited to stay inside a one dimensional box of length L. The focus of our effort is the solution of the corresponding Quantum Initial Value Problem (QIVP). We employ a recently developed numerical method and test it for a simple situation with an exact, analytic solution. The numerical method introduces a novel way to solve a diffusion type equation by implementing discrete transparent boundaries conditions (DTBCs) recently developed by mathematicians. The method is then extended to include a linear, external potential.en_US
dc.format.mediumFormat: Onlineen_US
dc.language.isoengen_US
dc.publisher[Fort Worth, Tex. : Texas Christian University],en_US
dc.relation.ispartofTexas Christian University dissertationen_US
dc.relation.ispartofUMI thesis.en_US
dc.relation.ispartofTexas Christian University dissertation.en_US
dc.relation.requiresMode of access: World Wide Web.en_US
dc.relation.requiresSystem requirements: Adobe Acrobat reader.en_US
dc.subject.lcshQuantum theory.en_US
dc.subject.lcshChaotic behavior in systems.en_US
dc.subject.lcshSchrodinger equation.en_US
dc.subject.lcshBoundary value problems.en_US
dc.titleEscape in the strong quantum regime [electronic resource] /en_US
dc.typeTexten_US
etd.degree.departmentDepartment of Physics and Astronomy
etd.degree.levelDoctoral
local.academicunitDepartment of Physics and Astronomy
local.subjectareaPhysics and Astronomy


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