{"created":"2021-03-01T06:13:42.341140+00:00","id":7066,"links":{},"metadata":{"_buckets":{"deposit":"f6be5806-93e7-4556-985e-c0b4ccb40835"},"_deposit":{"id":"7066","owners":[],"pid":{"revision_id":0,"type":"depid","value":"7066"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00007066","sets":["312:313:314"]},"author_link":["19055"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2002-05-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"5","bibliographicPageEnd":"11","bibliographicPageStart":"52121","bibliographicVolumeNumber":"65","bibliographic_titles":[{"bibliographic_title":"PHYSICAL REVIEW A","bibliographic_titleLang":"en"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this paper two fundamental questions in the contracted Schrödinger equation (CSE) approach are considered by using Lipkin’s quasispin model: 1-1 mapping between the second-order reduced density matrix (2-RDM) and the wave function of an excited state, and the uniqueness of the solution of CSE under incomplete N-representability conditions. We present some examples of the wave functions that give the same 2-RDM as the excited state. Thus 2-RDM of an excited state does not determine the wave function uniquely, and it alone cannot be used as basic variable for excited states of the density-matrix theory. Under the incomplete representability constraints the solution of the second-order CSE contains all the exact 4-RDMs together with the spurious ones. We examined the distribution of the solutions as a function of energy, and found that the solutions are well separated from each other under the P- and G-representability conditions of 4-RDM in the low-energy region, but with moderate interaction, or in the higher-energy region, there exist spurious solutions for almost all energies. Thus the G condition of 4-RDM is not sufficient to solve the excited states, although it gives accurate results for the ground state of Lipkin’s model.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10_identifier_60":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2237/8740"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"American Physical Society","subitem_publisher_language":"en"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1103/PhysRevA.65.052121","subitem_relation_type_select":"DOI"}}]},"item_10_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright: American Physical Society, All rights reserved.","subitem_rights_language":"en"}]},"item_10_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_10_text_14":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_text_value":"application/pdf"}]},"item_1615787544753":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"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":"Yasuda, Koji","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"19055","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":"2018-02-19"}],"displaytype":"detail","filename":"PhysRevA65-52121.pdf","filesize":[{"value":"158.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"PhysRevA65-52121.pdf","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/7066/files/PhysRevA65-52121.pdf"},"version_id":"eec7423d-74d9-47e7-a945-4d3bc2952fac"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Uniqueness of the solution of the contracted Schrödinger equation","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Uniqueness of the solution of the contracted Schrödinger equation","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["314"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2007-09-06"},"publish_date":"2007-09-06","publish_status":"0","recid":"7066","relation_version_is_last":true,"title":["Uniqueness of the solution of the contracted Schrödinger equation"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T05:02:43.672282+00:00"}