{"_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\u0027s 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 \u0027discrete\u0027 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_text": "Web of Science", "subitem_link_url": "http://gateway.isiknowledge.com/gateway/Gateway.cgi?\u0026GWVersion=2\u0026SrcAuth=ShinshuUniv\u0026SrcApp=ShinshuUniv\u0026DestLinkType=FullRecord\u0026DestApp=WOS\u0026KeyUT=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_select_64": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "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_39": {"attribute_name": "NII 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_6_text_70": {"attribute_name": "wosonly keywords", "attribute_value_mlt": [{"subitem_text_value": "ANNIHILATION-CREATION OPERATORS; SHAPE INVARIANT POTENTIALS; ORTHOGONAL POLYNOMIALS; OSCILLATOR; EQUATION; SYSTEMS"}]}, "item_6_textarea_68": {"attribute_name": "wosonly abstract", "attribute_value_mlt": [{"subitem_textarea_value": "In one-dimensional quantum mechanics, or the Sturm-Liouville theory, Crum\u0027s 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 \u0027discrete\u0027 quantum mechanics is formulated algebraically, elucidating the basic structure of the discrete quantum mechanics, whose Schrodinger equation is a difference equation."}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Odake,  Satoru"}], "nameIdentifiers": [{"nameIdentifier": "36002", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Sasaki,  Ryu"}], "nameIdentifiers": [{"nameIdentifier": "36003", "nameIdentifierScheme": "WEKO"}]}]}, "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", "download_preview_message": "", "file_order": 0, "filename": "Crums_Theorem_Discrete_Quantum_Mechanics.pdf", "filesize": [{"value": "155.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 155500.0, "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\u0027s Theorem for \u0027Discrete\u0027 Quantum Mechanics", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Crum\u0027s Theorem for \u0027Discrete\u0027 Quantum Mechanics", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1169/1170"], "permalink_uri": "http://hdl.handle.net/10091/17226", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2013-11-05"}, "publish_date": "2013-11-05", "publish_status": "0", "recid": "11744", "relation": {}, "relation_version_is_last": true, "title": ["Crum\u0027s Theorem for \u0027Discrete\u0027 Quantum Mechanics"], "weko_shared_id": -1}