{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/81032"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/81032","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Transport of muonic atoms","abstract":"Transport of muonic hydrogen and deuterium atoms in gaseous hydrogen and deuterium is studied in the diffusion approximation and by means of the multiple collision expansion. The diffusion coefficient is derived. Scattering kernels are computed from the kinematics of an inelastic binary collision. The effect of rotations of the target molecules is treated by defining and computing an effective inelastic energy transfer Q<sub>eff</sub>. The Doppler effect is taken into account by averaging the cross sections over the Maxwellian velocity distribution of the target molecules. Numerical results of the time-dependent problem in slab geometry are presented. In part two we construct a candidate for a realistic four generation Calabi-Yau manifold by dividing an algebraic variety in CP₄ x CP₄ with the Z₂ x Z₂ symmetry. A nontrivial embedding of Z₂ x Z₂ in E(6) allows the physically interesting intermediate symmetry, based on Pati-Salam SU(2)<sub>L</sub> x SU(2)<sub>R</sub> x SU(4)<sub>C</sub> group. The group of honest symmetries G<sub>H</sub> of the manifold is identified and the transformations properties of quark and lepton fields under G<sub>H</sub> are given.","abstract_html":"Transport of muonic hydrogen and deuterium atoms in gaseous hydrogen and deuterium is studied in the diffusion approximation and by means of the multiple collision expansion. The diffusion coefficient is derived. Scattering kernels are computed from the kinematics of an inelastic binary collision. The effect of rotations of the target molecules is treated by defining and computing an effective inelastic energy transfer Q&lt;sub&gt;eff&lt;/sub&gt;. The Doppler effect is taken into account by averaging the cross sections over the Maxwellian velocity distribution of the target molecules. Numerical results of the time-dependent problem in slab geometry are presented. In part two we construct a candidate for a realistic four generation Calabi-Yau manifold by dividing an algebraic variety in CP₄ x CP₄ with the Z₂ x Z₂ symmetry. A nontrivial embedding of Z₂ x Z₂ in E(6) allows the physically interesting intermediate symmetry, based on Pati-Salam SU(2)&lt;sub&gt;L&lt;/sub&gt; x SU(2)&lt;sub&gt;R&lt;/sub&gt; x SU(4)&lt;sub&gt;C&lt;/sub&gt; group. The group of honest symmetries G&lt;sub&gt;H&lt;/sub&gt; of the manifold is identified and the transformations properties of quark and lepton fields under G&lt;sub&gt;H&lt;/sub&gt; are given.","abstract_has_math":false,"creators":["Rusjan, Edmond"],"institution":"Virginia Polytechnic Institute and State University","degree_name":"Ph. D.","degree_level":"doctoral","degree_discipline":"Mathematical Physics","degree_department":"Mathematical Physics","school":null,"contributors":[],"advisors":[],"committee_chairs":["Zweifel, Paul F."],"committee_members":["Greenberg, W.","Klaus, Martin","Slawny, Joseph","Tze, Hsiung Chia"],"year":1988,"date_issued":"1988","date_published":"1988","updated_at":"2026-07-22T22:18:58Z","subjects":[],"languages":["en_US"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/81032","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeechair","label":"Committee Chair","values":["Zweifel, Paul F."]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Greenberg, W.","Klaus, Martin","Slawny, Joseph","Tze, Hsiung Chia"]},{"key":"dc:contributor.department","label":"Department","values":["Mathematical Physics"]},{"key":"dc:creator","label":"Author","values":["Rusjan, Edmond"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-12-06T15:21:00Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2017-12-06T15:21:00Z"]},{"key":"dc:date.issued","label":"Date","values":["1988"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute and State University"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["doctoral"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. 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Scattering kernels are computed from the kinematics of an inelastic binary collision. The effect of rotations of the target molecules is treated by defining and computing an effective inelastic energy transfer Q<sub>eff</sub>. The Doppler effect is taken into account by averaging the cross sections over the Maxwellian velocity distribution of the target molecules. Numerical results of the time-dependent problem in slab geometry are presented. In part two we construct a candidate for a realistic four generation Calabi-Yau manifold by dividing an algebraic variety in CP₄ x CP₄ with the Z₂ x Z₂ symmetry. A nontrivial embedding of Z₂ x Z₂ in E(6) allows the physically interesting intermediate symmetry, based on Pati-Salam SU(2)<sub>L</sub> x SU(2)<sub>R</sub> x SU(4)<sub>C</sub> group. The group of honest symmetries G<sub>H</sub> of the manifold is identified and the transformations properties of quark and lepton fields under G<sub>H</sub> are given."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph. D."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Transport of muonic atoms"]}]}],"canonical_facts":{"dc:contributor.committeechair":["Zweifel, Paul F."],"dc:contributor.committeemember":["Greenberg, W.","Klaus, Martin","Slawny, Joseph","Tze, Hsiung Chia"],"dc:contributor.department":["Mathematical Physics"],"dc:creator":["Rusjan, Edmond"],"dc:date.accessioned":["2017-12-06T15:21:00Z"],"dc:date.available":["2017-12-06T15:21:00Z"],"dc:date.issued":["1988"],"dc:description.abstract":["Transport of muonic hydrogen and deuterium atoms in gaseous hydrogen and deuterium is studied in the diffusion approximation and by means of the multiple collision expansion. The diffusion coefficient is derived. Scattering kernels are computed from the kinematics of an inelastic binary collision. The effect of rotations of the target molecules is treated by defining and computing an effective inelastic energy transfer Q<sub>eff</sub>. The Doppler effect is taken into account by averaging the cross sections over the Maxwellian velocity distribution of the target molecules. Numerical results of the time-dependent problem in slab geometry are presented. In part two we construct a candidate for a realistic four generation Calabi-Yau manifold by dividing an algebraic variety in CP₄ x CP₄ with the Z₂ x Z₂ symmetry. A nontrivial embedding of Z₂ x Z₂ in E(6) allows the physically interesting intermediate symmetry, based on Pati-Salam SU(2)<sub>L</sub> x SU(2)<sub>R</sub> x SU(4)<sub>C</sub> group. The group of honest symmetries G<sub>H</sub> of the manifold is identified and the transformations properties of quark and lepton fields under G<sub>H</sub> are given."],"dc:description.degree":["Ph. D."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/10919/81032"],"dc:language.iso":["en_US"],"dc:publisher":["Virginia Polytechnic Institute and State University"],"dc:rights":["In Copyright"],"dc:rights.uri":["http://rightsstatements.org/vocab/InC/1.0/"],"dc:title":["Transport of muonic atoms"],"dc:type":["Dissertation"],"dc:type.dcmitype":["Text"],"thesis:degree_discipline":["Mathematical Physics"],"thesis:degree_level":["doctoral"],"thesis:degree_name":["Ph. D."],"thesis:institution_name":["Virginia Polytechnic Institute and State University"]},"updated_at":"2026-07-22T22:18:58Z"}