{"_buckets": {"deposit": "445bf4d5-157b-497c-9fbe-0aa12d0b4bdb"}, "_deposit": {"id": "21934", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "21934"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00021934", "sets": ["1345"]}, "author_link": ["65304"], "item_11_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2014-08-08", "bibliographicIssueDateType": "Issued"}}]}, "item_11_description_4": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "This course will provide an overview on some of the most recent tools introduced in functional analysis for the study of operators related to quantum mechanics. During the first lectures, we shall review some basics properties of bounded and unbounded operators on Hilbert spaces, and introduce the spectral theorem for self-adjoint operators. After reviewing some definitions and properties related to C*-algebras, we shall show how crossed product C*-algebras are naturally linked to generalized Schroedinger operators, and how information on these operators can be deduced from representations of these algebras. A related construction involving twisted crossed product algebras and its application for magnetic systems will then be discussed.", "subitem_description_language": "en", "subitem_description_type": "Abstract"}]}, "item_11_identifier_60": {"attribute_name": "URI", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/2237/24074"}]}, "item_11_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Nagoya University OpenCourseWare Steering Committee", "subitem_publisher_language": "en"}]}, "item_11_relation_43": {"attribute_name": "関連情報", "attribute_value_mlt": [{"subitem_relation_type": "isVersionOf", "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://ocw.ilas.nagoya-u.ac.jp/index.php?lang=en\u0026mode=c\u0026id=435\u0026page_type=index", "subitem_relation_type_select": "URI"}}]}, "item_11_rights_12": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "“This document was compiled (some parts were modified) based on course materials for C﹡-algebraic methods in spectral theory (2014) available on the Nagoya University OpenCourseWare (NU OCW) site and were compiled by Nagoya University instructor Serge RICHARD.” Copyright © 2014 Serge RICHARD.", "subitem_rights_language": "en"}]}, "item_11_select_15": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "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": "Richard, Serge", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "65304", "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": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Title.pdf", "filesize": [{"value": "43.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 43000.0, "url": {"label": "Title.pdf", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/21934/files/Title.pdf"}, "version_id": "ade4eebc-b2cf-4dd7-9def-43cdbc5edba2"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 1, "filename": "Contents.pdf", "filesize": [{"value": "114.2 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 114200.0, "url": {"label": "Contents.pdf", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/21934/files/Contents.pdf"}, "version_id": "7ef63f87-c3f4-4877-a372-76f746e70801"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 2, "filename": "Chapter_1.pdf", "filesize": [{"value": "353.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 353000.0, "url": {"label": "Chapter_1.pdf Linear operators on a Hilbert space", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/21934/files/Chapter_1.pdf"}, "version_id": "20cd9e70-1f56-479c-9016-bc4a9de0bd44"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 3, "filename": "Chapter_2.pdf", "filesize": [{"value": "377.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 377000.0, "url": {"label": "Chapter_2.pdf C*-algebras", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/21934/files/Chapter_2.pdf"}, "version_id": "908f66aa-3492-4ca5-8c66-cbe3c4a20299"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 4, "filename": "Chapter_3.pdf", "filesize": [{"value": "359.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 359000.0, "url": {"label": "Chapter_3.pdf Crossed product C*-algebras", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/21934/files/Chapter_3.pdf"}, "version_id": "dd0d0ea8-b9b6-4f0e-bac1-bfb0df9c0f73"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 5, "filename": "Chapter_4.pdf", "filesize": [{"value": "335.7 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 335700.0, "url": {"label": "Chapter_4.pdf Schroedinger operators and essential spectrum", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/21934/files/Chapter_4.pdf"}, "version_id": "efbaf6e1-1e0a-486f-96be-94a1369707e0"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 6, "filename": "Chapter_5.pdf", "filesize": [{"value": "355.2 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 355200.0, "url": {"label": "Chapter_5.pdf Twisted crossed product C*-algebras", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/21934/files/Chapter_5.pdf"}, "version_id": "21b47158-575c-4989-897e-515fef707d42"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 7, "filename": "Chapter_6.pdf", "filesize": [{"value": "268.0 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 268000.0, "url": {"label": "Chapter_6.pdf Pseudodifferential calculus", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/21934/files/Chapter_6.pdf"}, "version_id": "9b6e922b-6ee5-4f2c-a3bc-d402e896b281"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 8, "filename": "Chapter_7.pdf", "filesize": [{"value": "316.9 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 316900.0, "url": {"label": "Chapter_7.pdf Magnetic systems", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/21934/files/Chapter_7.pdf"}, "version_id": "5be947d6-cff0-4567-b27a-1856a8a4107e"}, {"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 9, "filename": "Bibliography.pdf", "filesize": [{"value": "145.7 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 145700.0, "url": {"label": "Bibliography.pdf", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/21934/files/Bibliography.pdf"}, "version_id": "6fe71b0e-7ec4-489a-af96-0e3bee1cd348"}]}, "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": "learning object", "resourceuri": "http://purl.org/coar/resource_type/c_e059"}]}, "item_title": "C﹡-algebraic methods in spectral theory", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "C﹡-algebraic methods in spectral theory", "subitem_title_language": "en"}]}, "item_type_id": "11", "owner": "1", "path": ["1345"], "permalink_uri": "http://hdl.handle.net/2237/24074", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2016-04-28"}, "publish_date": "2016-04-28", "publish_status": "0", "recid": "21934", "relation": {}, "relation_version_is_last": true, "title": ["C﹡-algebraic methods in spectral theory"], "weko_shared_id": -1}