{"created":"2021-03-01T06:14:38.545826+00:00","id":11744,"links":{},"metadata":{"_buckets":{"deposit":"b61dfc66-9ecd-409b-98c5-91c78af4624a"},"_deposit":{"id":"11744","owners":[],"pid":{"revision_id":0,"type":"depid","value":"11744"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00011744","sets":["1169:1170"]},"author_link":["36002","36003"],"item_1628147817048":{"attribute_name":"\u51fa\u7248\u30bf\u30a4\u30d7","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_6_biblio_info_6":{"attribute_name":"\u66f8\u8a8c\u60c5\u5831","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2009-11","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"5","bibliographicPageEnd":"1079","bibliographicPageStart":"1067","bibliographicVolumeNumber":"122","bibliographic_titles":[{"bibliographic_title":"PROGRESS OF THEORETICAL PHYSICS"}]}]},"item_6_description_20":{"attribute_name":"\u6284\u9332","attribute_value_mlt":[{"subitem_description":"In one-dimensional quantum mechanics, or the Sturm-Liouville theory, Crum's theorem. describes the relationship between the original and the associated Hamiltonian systems, which are iso-spectral except for the lowest energy state. Its counterpart in 'discrete' quantum mechanics is formulated algebraically, elucidating the basic structure of the discrete quantum mechanics, whose Schrodinger equation is a difference equation.","subitem_description_type":"Abstract"}]},"item_6_description_30":{"attribute_name":"\u8cc7\u6e90\u30bf\u30a4\u30d7\uff08\u30b3\u30f3\u30c6\u30f3\u30c4\u306e\u7a2e\u985e\uff09","attribute_value_mlt":[{"subitem_description":"Article","subitem_description_type":"Other"}]},"item_6_description_5":{"attribute_name":"\u5f15\u7528","attribute_value_mlt":[{"subitem_description":"PROGRESS OF THEORETICAL PHYSICS. 122(5):1067-1079 (2009)","subitem_description_type":"Other"}]},"item_6_link_3":{"attribute_name":"\u4fe1\u5dde\u5927\u5b66\u7814\u7a76\u8005\u7dcf\u89a7\u3078\u306e\u30ea\u30f3\u30af","attribute_value_mlt":[{"subitem_link_text":"Odake, Satoru","subitem_link_url":"http://soar-rd.shinshu-u.ac.jp/profile/ja.uhLeuUkV.html"}]},"item_6_link_67":{"attribute_name":"WoS","attribute_value_mlt":[{"subitem_link_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000272907100001"}]},"item_6_publisher_4":{"attribute_name":"\u51fa\u7248\u8005","attribute_value_mlt":[{"subitem_publisher":"PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE"}]},"item_6_relation_48":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"10.1143/PTP.122.1067"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1143/PTP.122.1067","subitem_relation_type_select":"DOI"}}]},"item_6_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0033-068X","subitem_source_identifier_type":"ISSN"}]},"item_6_source_id_40":{"attribute_name":"\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID","attribute_value_mlt":[{"subitem_source_identifier":"AA00791455","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"\u8457\u8005","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Odake, Satoru"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Sasaki, Ryu"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"\u30d5\u30a1\u30a4\u30eb\u60c5\u5831","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2015-09-28"}],"displaytype":"detail","filename":"Crums_Theorem_Discrete_Quantum_Mechanics.pdf","filesize":[{"value":"155.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Crums_Theorem_Discrete_Quantum_Mechanics.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/11744/files/Crums_Theorem_Discrete_Quantum_Mechanics.pdf"},"version_id":"fd59567f-a69b-4c4e-9e04-a26666c75462"}]},"item_language":{"attribute_name":"\u8a00\u8a9e","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"\u8cc7\u6e90\u30bf\u30a4\u30d7","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Crum's Theorem for 'Discrete' Quantum Mechanics","item_titles":{"attribute_name":"\u30bf\u30a4\u30c8\u30eb","attribute_value_mlt":[{"subitem_title":"Crum's Theorem for 'Discrete' Quantum Mechanics","subitem_title_language":"en"}]},"item_type_id":"6","owner":"1","path":["1169/1170"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2013-11-05"},"publish_date":"2013-11-05","publish_status":"0","recid":"11744","relation_version_is_last":true,"title":["Crum's Theorem for 'Discrete' Quantum Mechanics"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2021-09-02T05:46:50.721178+00:00"}