{"id":{"repo_id":"freiburg-diss","oai_identifier":"oai:freidok.uni-freiburg.de:94"},"canonical_url":"https://search.dev.ndltd.org/etd/freiburg-diss/oai:freidok.uni-freiburg.de:94","repository":{"repo_id":"freiburg-diss","name":"University of Freiburg","base_url":"https://freidok.uni-freiburg.de/oai/oai2.php"},"display":{"title":"Semiklassische Beschreibung des Spin-Boson-Modells","abstract":"The spin coherent state path integral describing the dynamics of a <br>spin-1/2-system in a magnetic field of arbitrary <br>time-dependence is considered. Defining the path integral as the limit <br>of a Wiener regularized expression, the semiclassical approximation <br>leads to a continuous minimal action path with jumps at the <br>endpoints. The resulting semiclassical propagator is shown to coincide <br>with the exact quantum mechanical propagator. A non-linear <br>transformation of the angle variables allows for a <br>determination of the semiclassical path and the jumps without solving <br>a boundary-value problem. The semiclassical spin dynamics is thus <br>readily amenable to numerical methods.","abstract_html":"The spin coherent state path integral describing the dynamics of a &lt;br&gt;spin-1/2-system in a magnetic field of arbitrary &lt;br&gt;time-dependence is considered. Defining the path integral as the limit &lt;br&gt;of a Wiener regularized expression, the semiclassical approximation &lt;br&gt;leads to a continuous minimal action path with jumps at the &lt;br&gt;endpoints. The resulting semiclassical propagator is shown to coincide &lt;br&gt;with the exact quantum mechanical propagator. A non-linear &lt;br&gt;transformation of the angle variables allows for a &lt;br&gt;determination of the semiclassical path and the jumps without solving &lt;br&gt;a boundary-value problem. The semiclassical spin dynamics is thus &lt;br&gt;readily amenable to numerical methods.","abstract_has_math":false,"creators":["Alscher, Adrian"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Grabert, Hermann"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":null,"date_issued":"","date_published":null,"updated_at":"2026-07-24T02:21:24Z","subjects":["Semiklassik","kohärenter Zustand","path integral","spin coherent state"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://freidok.uni-freiburg.de/data/94","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Grabert, Hermann"]},{"key":"dc:creator","label":"Author","values":["Alscher, Adrian"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:type","label":"Dc Type","values":["DoctoralThesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Semiklassik","kohärenter Zustand","path integral","spin coherent state"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The spin coherent state path integral describing the dynamics of a <br>spin-1/2-system in a magnetic field of arbitrary <br>time-dependence is considered. Defining the path integral as the limit <br>of a Wiener regularized expression, the semiclassical approximation <br>leads to a continuous minimal action path with jumps at the <br>endpoints. The resulting semiclassical propagator is shown to coincide <br>with the exact quantum mechanical propagator. A non-linear <br>transformation of the angle variables allows for a <br>determination of the semiclassical path and the jumps without solving <br>a boundary-value problem. The semiclassical spin dynamics is thus <br>readily amenable to numerical methods."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Semiklassische Beschreibung des Spin-Boson-Modells"]}]}],"canonical_facts":{"dc:contributor":["Grabert, Hermann"],"dc:creator":["Alscher, Adrian"],"dc:description.abstract":["The spin coherent state path integral describing the dynamics of a <br>spin-1/2-system in a magnetic field of arbitrary <br>time-dependence is considered. Defining the path integral as the limit <br>of a Wiener regularized expression, the semiclassical approximation <br>leads to a continuous minimal action path with jumps at the <br>endpoints. The resulting semiclassical propagator is shown to coincide <br>with the exact quantum mechanical propagator. A non-linear <br>transformation of the angle variables allows for a <br>determination of the semiclassical path and the jumps without solving <br>a boundary-value problem. The semiclassical spin dynamics is thus <br>readily amenable to numerical methods."],"dc:format.medium":["application/pdf"],"dc:subject":["Semiklassik","kohärenter Zustand","path integral","spin coherent state"],"dc:title":["Semiklassische Beschreibung des Spin-Boson-Modells"],"dc:type":["DoctoralThesis"]},"updated_at":"2026-07-24T02:21:24Z"}