{"created":"2021-03-01T06:43:48.675038+00:00","id":8411,"links":{},"metadata":{"_buckets":{"deposit":"92f26453-d69b-46df-af8e-eaf5fb076b28"},"_deposit":{"id":"8411","owners":[],"pid":{"revision_id":0,"type":"depid","value":"8411"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00008411","sets":["3:233:254"]},"author_link":["34914"],"item_12_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2002","bibliographicIssueDateType":"Issued"}}]},"item_12_date_granted_46":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"2002-03-25"}]},"item_12_degree_grantor_44":{"attribute_name":"学位授与大学","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"ja","subitem_degreegrantor_name":"筑波大学"},{"subitem_degreegrantor_language":"en","subitem_degreegrantor_name":"University of Tsukuba"}],"subitem_degreegrantor_identifier":[{"subitem_degreegrantor_identifier_name":"12102","subitem_degreegrantor_identifier_scheme":"kakenhi"}]}]},"item_12_degree_name_43":{"attribute_name":"取得学位","attribute_value_mlt":[{"subitem_degreename":"博士（理学）"},{"subitem_degreename":"Doctor of Philosophy in Science"}]},"item_12_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"THE dissertation deals with the two-dimensional isotropic parabolic potential barrier as a solvable model of a two-dimensional unstable system in non-relativistic quantum mechanics. The time-independent Schrodinger equation for this model is set up as the eigenvalue problem in Gel'fand triplet and its exact solutions are expressed by generalized eigen-functions belonging to complex energy eigenvalues. There are stationary states with a real energy eigenvalues. There are statinary states with a real energy eigenvalue involved in those solutions, and they are infinitely degenerate. A physical picture of the generalized eigenstates of the unstable system is obtained from the hydrodynamical point of view. For the first few stationary states of the two-dimensional parabolic potential barrier, the complex velocity potentials in the hydrodynamical formulation of quantum mechanics express the two-dimensional irrotational flows round a right angle. We find that this result can be deduced from the general connection between complex velocity potentials and singular potentials in two-dimensional quantum systems.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_12_description_45":{"attribute_name":"学位授与年度","attribute_value_mlt":[{"subitem_description":"2001","subitem_description_type":"Other"}]},"item_12_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"Includes bibliographical references","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_12_dissertation_number_47":{"attribute_name":"報告番号","attribute_value_mlt":[{"subitem_dissertationnumber":"甲第2845号"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"新堀, 敏基","creatorNameLang":"ja"},{"creatorName":"Shimbori, Toshiki","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"34914","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2013-12-18"}],"displaytype":"detail","filename":"A2845.pdf","filesize":[{"value":"176.8 kB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"abstract","url":"https://tsukuba.repo.nii.ac.jp/record/8411/files/A2845.pdf"},"version_id":"550ae4b6-e211-4ed8-bd5f-00386cca91de"},{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2013-12-18"}],"displaytype":"detail","filename":"1.pdf","filesize":[{"value":"383.6 kB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tsukuba.repo.nii.ac.jp/record/8411/files/1.pdf"},"version_id":"3df82ac2-e0ae-42d9-b314-228f87227f94"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"doctoral thesis","resourceuri":"http://purl.org/coar/resource_type/c_db06"}]},"item_title":"The hydrodynamical formulation of quantum mechanics and the two-dimensional parabolic potential barrier","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The hydrodynamical formulation of quantum mechanics and the two-dimensional parabolic potential barrier","subitem_title_language":"en"}]},"item_type_id":"12","owner":"1","path":["254"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2007-07-25"},"publish_date":"2007-07-25","publish_status":"0","recid":"8411","relation_version_is_last":true,"title":["The hydrodynamical formulation of quantum mechanics and the two-dimensional parabolic potential barrier"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-05-01T07:52:04.497880+00:00"}