{"_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"}, "control_number": "21934", "item_11_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2014-08-08", "bibliographicIssueDateType": "Issued"}}]}, "item_11_description_4": {"attribute_name": "\u6284\u9332", "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_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": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "Nagoya University OpenCourseWare Steering Committee"}]}, "item_11_relation_43": {"attribute_name": "\u95a2\u9023\u60c5\u5831", "attribute_value_mlt": [{"subitem_relation_type": "isVersionOf", "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://ocw.nagoya-u.jp/index.php?lang=en\u0026mode=c\u0026id=435\u0026page_type=index", "subitem_relation_type_select": "URI"}}]}, "item_11_rights_12": {"attribute_name": "\u6a29\u5229", "attribute_value_mlt": [{"subitem_rights": "\u201cThis document was compiled (some parts were modified) based on course materials for C\ufe61-algebraic methods in spectral theory (2014) available on the Nagoya University OpenCourseWare (NU OCW) site and were compiled by Nagoya University instructor Serge RICHARD.\u201d Copyright \u00a9 2014 Serge RICHARD."}]}, "item_11_select_15": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Richard, Serge"}], "nameIdentifiers": [{"nameIdentifier": "65304", "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": "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_free", "mimetype": "application/pdf", "size": 43000.0, "url": {"label": "Title.pdf", "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_free", "mimetype": "application/pdf", "size": 114200.0, "url": {"label": "Contents.pdf", "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_free", "mimetype": "application/pdf", "size": 353000.0, "url": {"label": "Chapter_1.pdf Linear operators on a Hilbert space", "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_free", "mimetype": "application/pdf", "size": 377000.0, "url": {"label": "Chapter_2.pdf C*-algebras", "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_free", "mimetype": "application/pdf", "size": 359000.0, "url": {"label": "Chapter_3.pdf Crossed product C*-algebras", "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_free", "mimetype": "application/pdf", "size": 335700.0, "url": {"label": "Chapter_4.pdf Schroedinger operators and essential spectrum", "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_free", "mimetype": "application/pdf", "size": 355200.0, "url": {"label": "Chapter_5.pdf Twisted crossed product C*-algebras", "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_free", "mimetype": "application/pdf", "size": 268000.0, "url": {"label": "Chapter_6.pdf Pseudodifferential calculus", "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_free", "mimetype": "application/pdf", "size": 316900.0, "url": {"label": "Chapter_7.pdf Magnetic systems", "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_free", "mimetype": "application/pdf", "size": 145700.0, "url": {"label": "Bibliography.pdf", "url": "https://nagoya.repo.nii.ac.jp/record/21934/files/Bibliography.pdf"}, "version_id": "6fe71b0e-7ec4-489a-af96-0e3bee1cd348"}]}, "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": "learning object", "resourceuri": "http://purl.org/coar/resource_type/c_e059"}]}, "item_title": "C\ufe61-algebraic methods in spectral theory", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "C\ufe61-algebraic methods in spectral theory", "subitem_title_language": "en"}]}, "item_type_id": "11", "owner": "17", "path": ["697/1344/1345"], "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\ufe61-algebraic methods in spectral theory"], "weko_shared_id": -1}