{"created":"2021-03-01T07:00:41.725801+00:00","id":40996,"links":{},"metadata":{"_buckets":{"deposit":"5d264654-ce10-44f2-9423-d7ddb7539144"},"_deposit":{"id":"40996","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40996"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040996","sets":["312:7290:7296","9:504:7292:7297"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1990","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"36","bibliographicPageStart":"27","bibliographicVolumeNumber":"40","bibliographic_titles":[{"bibliographic_title":"Scientific papers of the College of Arts and Sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"A solution $u(t,x)\\in C(R_l^1,L^2(R)_x^N))$ to a time dependent Schrodinger equation $i(\\partial U/\\partial t)=-\\Delta u+v(t,x)u$ with time periodic potential $V(t+2\\pi ,x)=V(t,x)$ is called quasi-stationary state with quasi-level λ if it satisfies $u(t-2\\pi ,x)=V(t,x)=exp(-2\\pi i\\lambdau(t,x)$. We show, under the condition $(1+\\mid x \\mid )^(1+\\epsilon) V(t,x)\\in C^1(R_l^1,L^(\\infty )(R_x^N))$, that every non-threshold quasi-stationary state decays exponentially at infinity in the sense that exp $(\\alpha \\mid x \\mid )u(t,x)\\in C^1(R_l^1,L^2(R_x^N))$ for $\\alpha ^2<1-(\\lambda - [\\lambda ]),$ if \\lambda  is its quasilevel, where [\\lambda ] is the integral part of \\lambda .","subitem_description_type":"Abstract"}]},"item_4_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.15083/00040987","subitem_identifier_reg_type":"JaLC"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA10538733","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"02897520","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Pure and Applied Sciences, College of Arts and Sciences, University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Yajima, Kenji"}],"nameIdentifiers":[{"nameIdentifier":"139869","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-27"}],"displaytype":"detail","filename":"scp040002.pdf","filesize":[{"value":"591.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"scp040002.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40996/files/scp040002.pdf"},"version_id":"4170a825-38f0-42ff-9965-8b4330091ac8"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Exponential Decay of Quasi-stationary States of Time-periodic Schrodinger Equation with Short Range Potentials","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Exponential Decay of Quasi-stationary States of Time-periodic Schrodinger Equation with Short Range Potentials"}]},"item_type_id":"4","owner":"1","path":["7296","7297"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-11-19"},"publish_date":"2008-11-19","publish_status":"0","recid":"40996","relation_version_is_last":true,"title":["Exponential Decay of Quasi-stationary States of Time-periodic Schrodinger Equation with Short Range Potentials"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:21.453724+00:00"}