{"id":{"repo_id":"etsu","oai_identifier":"oai:dc.etsu.edu:etd-2572"},"canonical_url":"https://search.dev.ndltd.org/etd/etsu/oai:dc.etsu.edu:etd-2572","repository":{"repo_id":"etsu","name":"East Tennessee State University","base_url":"https://dc.etsu.edu/do/oai/"},"display":{"title":"Optimization Problems in Hilbert Space with POSS Complexes.","abstract":"<p>Beginning with a survey of functional variation methods in classical physics, we derive the Hartree-Fock theory from canonical quantization. Following a development of density functional theory, many-body perturbation theory, and other techniques of computational condensed matter physics, we perform a systematic study of metal-polyhydride impurities in <em>T</em><sub>8</sub> and <em>T</em><sub>12</sub> polyhedral oligomeric silsesquioxane (POSS) cage molecules. Second-quantized methods motivate the derivations throughout.</p>","abstract_html":"&lt;p&gt;Beginning with a survey of functional variation methods in classical physics, we derive the Hartree-Fock theory from canonical quantization. Following a development of density functional theory, many-body perturbation theory, and other techniques of computational condensed matter physics, we perform a systematic study of metal-polyhydride impurities in &lt;em&gt;T&lt;/em&gt;&lt;sub&gt;8&lt;/sub&gt; and &lt;em&gt;T&lt;/em&gt;&lt;sub&gt;12&lt;/sub&gt; polyhedral oligomeric silsesquioxane (POSS) cage molecules. Second-quantized methods motivate the derivations throughout.&lt;/p&gt;","abstract_has_math":false,"creators":["Corn, John Russell"],"institution":null,"degree_name":"MS (Master of Science)","degree_level":"Thesis - restricted","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-12-17T08:00:00Z","date_published":"2011-12-17T08:00:00Z","updated_at":"2026-07-24T02:20:31Z","subjects":["POSS","quantum chemistry","calculus of variations","Condensed Matter Physics","Physical Sciences and Mathematics","Physics"],"languages":[],"rights":["Copyright by the authors."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dc.etsu.edu/etd/1381","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Corn, John Russell"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["1990-01-01T08:00:00Z"]},{"key":"dc:date.issued","label":"Date","values":["2011-12-17T08:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - restricted"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS (Master of Science)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["POSS","quantum chemistry","calculus of variations","Condensed Matter Physics","Physical Sciences and Mathematics","Physics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["Copyright by the authors."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dc.etsu.edu/context/etd/article/2572/viewcontent/CornJ101711f.pdf","https://dc.etsu.edu/etd/1381"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>Beginning with a survey of functional variation methods in classical physics, we derive the Hartree-Fock theory from canonical quantization. Following a development of density functional theory, many-body perturbation theory, and other techniques of computational condensed matter physics, we perform a systematic study of metal-polyhydride impurities in <em>T</em><sub>8</sub> and <em>T</em><sub>12</sub> polyhedral oligomeric silsesquioxane (POSS) cage molecules. Second-quantized methods motivate the derivations throughout.</p>"]},{"key":"dc:title","label":"Title","values":["Optimization Problems in Hilbert Space with POSS Complexes."]}]}],"canonical_facts":{"dc:creator":["Corn, John Russell"],"dc:date.available":["1990-01-01T08:00:00Z"],"dc:date.issued":["2011-12-17T08:00:00Z"],"dc:description.abstract":["<p>Beginning with a survey of functional variation methods in classical physics, we derive the Hartree-Fock theory from canonical quantization. Following a development of density functional theory, many-body perturbation theory, and other techniques of computational condensed matter physics, we perform a systematic study of metal-polyhydride impurities in <em>T</em><sub>8</sub> and <em>T</em><sub>12</sub> polyhedral oligomeric silsesquioxane (POSS) cage molecules. Second-quantized methods motivate the derivations throughout.</p>"],"dc:identifier":["https://dc.etsu.edu/context/etd/article/2572/viewcontent/CornJ101711f.pdf","https://dc.etsu.edu/etd/1381"],"dc:rights":["Copyright by the authors."],"dc:subject":["POSS","quantum chemistry","calculus of variations","Condensed Matter Physics","Physical Sciences and Mathematics","Physics"],"dc:title":["Optimization Problems in Hilbert Space with POSS Complexes."],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis - restricted"],"thesis:degree_name":["MS (Master of Science)"]},"updated_at":"2026-07-24T02:20:31Z"}