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dc.contributor.authorColijn, Carolineen
dc.date.accessioned2006-08-22 14:21:39 (GMT)
dc.date.available2006-08-22 14:21:39 (GMT)
dc.date.issued2003en
dc.date.submitted2003en
dc.identifier.urihttp://hdl.handle.net/10012/1044
dc.description.abstractThe de Broglie-Bohm causal interpretation of quantum mechanics is discussed, and applied to the hydrogen atom in several contexts. Prominent critiques of the causal program are noted and responses are given; it is argued that the de Broglie-Bohm theory is of notable interest to physics. Using the causal theory, electron trajectories are found for the conventional Schrödinger, Pauli and Dirac hydrogen eigenstates. In the Schrödinger case, an additional term is used to account for the spin; this term was not present in the original formulation of the theory but is necessary for the theory to be embedded in a relativistic formulation. In the Schrödinger, Pauli and Dirac cases, the eigenstate trajectories are shown to be circular, with electron motion revolving around the <i>z</i>-axis. Electron trajectories are also found for the 1<i>s</i>-2<i>p</i>0 transition problem under the Schrödinger equation; it is shown that the transition can be characterized by a comparison of the trajectory to the relevant eigenstate trajectories. The structures of the computed trajectories are relevant to the question of the possible evolution of a quantum distribution towards the standard quantum distribution (quantum equilibrium); this process is known as quantum relaxation. The transition problem is generalized to include all possible transitions in hydrogen stimulated by semi-classical radiation, and all of the trajectories found are examined in light of their implications for the evolution of the distribution to the standard distribution. Several promising avenues for future research are discussed.en
dc.formatapplication/pdfen
dc.format.extent2927662 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.rightsCopyright: 2003, Colijn, Caroline. All rights reserved.en
dc.subjectMathematicsen
dc.subjectquantumen
dc.subjectcausalen
dc.subjectde Broglieen
dc.subjectBohmen
dc.subjectinterpretationen
dc.subjecthydrogenen
dc.subjectfoundationsen
dc.subjecttrajectoriesen
dc.subjectrelaxationen
dc.titleThe de Broglie-Bohm Causal Interpretation of Quantum Mechanics and its Application to some Simple Systemsen
dc.typeDoctoral Thesisen
dc.pendingfalseen
uws-etd.degree.departmentApplied Mathematicsen
uws-etd.degreeDoctor of Philosophyen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


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