A two-state analysis of the one-dimensional relativistic particle

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dc.contributor.advisorKiehn, R. M.
dc.contributor.committeeMemberWalker, Robert H.
dc.contributor.committeeMemberRich, David C.
dc.creatorPierce, John Festus
dc.date.accessioned2022-06-22T17:53:20Z
dc.date.available2022-06-22T17:53:20Z
dc.date.issued1967
dc.description.abstractThe quantum description of a one-dimensional relativistic particle can be formulated in terms of a Feynman two-state analysis. The formalism presents the main physical features of the relativistic particle in a concise, simple form. A Hamiltonian is developed in analogy with the ammonia molecule in an electric field. Using this Hamiltonian the conditions under which a particle loses its positive definite energy quality can be determined. Zitterbewegung, the Klein paradox, and the symmetry between particles of negative energy and positive energy anti-particles can be developed as a consequence of this condition. A second order propagation equation for the state vector is formulated which may be interpreted in two ways: (1) the state space is flat and the state vectors satisfy a Feynman Gell-Mann propagation equation; (2) the state vectors satisfy a Klein Gordon equation, but the state space is structured or curved. The structure of the manifold, given by a Weyl geometry, is due to the presence of an electromagnetic field.
dc.description.departmentPhysics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13695957
dc.identifier.urihttps://hdl.handle.net/10657/9790
dc.language.isoen
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.titleA two-state analysis of the one-dimensional relativistic particle
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCollege of Arts and Sciences
thesis.degree.departmentPhysics, Department of
thesis.degree.disciplinePhysics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelMasters
thesis.degree.nameMaster of Science

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