{"_buckets": {"deposit": "860e415a-bf43-4834-989c-7f4ae51fae7c"}, "_deposit": {"id": "11723", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "11723"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00011723", "sets": ["1170"]}, "author_link": ["35926", "35927"], "item_1628147817048": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_ab4af688f83e57aa", "subitem_version_type": "AM"}]}, "item_6_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2014-07-15", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "2", "bibliographicPageEnd": "609", "bibliographicPageStart": "595", "bibliographicVolumeNumber": "415", "bibliographic_titles": [{"bibliographic_title": "JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS"}]}]}, "item_6_description_20": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "The lowest eigenvalue of non-commutative harmonic oscillators Q(alpha,beta) (alpha \u003e 0,beta \u003e 0, alpha beta \u003e 1) is studied. It is shown that Q(alpha,beta) can be decomposed into four self-adjoint operators, [GRAPHICS] and all the eigenvalues of each operator Q(sigma p) are simple. We show that the lowest eigenvalue of Q(alpha,beta) is simple whenever alpha not equal beta. Furthermore a Jacobi matrix representation of Q(sigma p) is given and spectrum of Q(sigma p) is considered numerically.", "subitem_description_type": "Abstract"}]}, "item_6_description_30": {"attribute_name": "資源タイプ（コンテンツの種類）", "attribute_value_mlt": [{"subitem_description": "Article", "subitem_description_type": "Other"}]}, "item_6_description_5": {"attribute_name": "引用", "attribute_value_mlt": [{"subitem_description": "JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 415(2):595-609 (2014)", "subitem_description_type": "Other"}]}, "item_6_link_3": {"attribute_name": "信州大学研究者総覧へのリンク", "attribute_value_mlt": [{"subitem_link_text": "Sasaki, Itaru", "subitem_link_url": "http://soar-rd.shinshu-u.ac.jp/profile/ja.HFAVjFkV.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=000334897400006"}]}, "item_6_publisher_4": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "ACADEMIC PRESS INC ELSEVIER SCIENCE"}]}, "item_6_relation_48": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "10.1016/j.jmaa.2014.01.005"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.1016/j.jmaa.2014.01.005", "subitem_relation_type_select": "DOI"}}]}, "item_6_rights_62": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "Copyright© 2014 Elsevier Inc."}]}, "item_6_select_64": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "author"}]}, "item_6_source_id_35": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0022-247X", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0022-247X", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_40": {"attribute_name": "書誌レコードID", "attribute_value_mlt": [{"subitem_source_identifier": "AA00252847", "subitem_source_identifier_type": "NCID"}]}, "item_6_text_69": {"attribute_name": "wosonly authkey", "attribute_value_mlt": [{"subitem_text_value": "Non-commutative harmonic oscillator; Multiplicity; The lowest eigenvalue; Crossing; No crossing"}]}, "item_6_text_70": {"attribute_name": "wosonly keywords", "attribute_value_mlt": [{"subitem_text_value": "SYSTEMS"}]}, "item_6_textarea_68": {"attribute_name": "wosonly abstract", "attribute_value_mlt": [{"subitem_textarea_value": "The lowest eigenvalue of non-commutative harmonic oscillators Q(alpha,beta) (alpha \u003e 0,beta \u003e 0, alpha beta \u003e 1) is studied. It is shown that Q(alpha,beta) can be decomposed into four self-adjoint operators, [GRAPHICS] and all the eigenvalues of each operator Q(sigma p) are simple. We show that the lowest eigenvalue of Q(alpha,beta) is simple whenever alpha not equal beta. Furthermore a Jacobi matrix representation of Q(sigma p) is given and spectrum of Q(sigma p) is considered numerically. © 2014 Elsevier Inc. All rights reserved."}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Hiroshima,  Fumio"}], "nameIdentifiers": [{"nameIdentifier": "35926", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Sasaki,  Itaru"}], "nameIdentifiers": [{"nameIdentifier": "35927", "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": "2015-09-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Spectral_analysis_non-commutative_harmonic_oscillator.pdf", "filesize": [{"value": "154.4 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 154400.0, "url": {"label": "Spectral_analysis_non-commutative_harmonic_oscillator.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11723/files/Spectral_analysis_non-commutative_harmonic_oscillator.pdf"}, "version_id": "6cbfb818-8429-48a7-85f4-4080d076b70e"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Non-commutative harmonic oscillator", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Multiplicity", "subitem_subject_scheme": "Other"}, {"subitem_subject": "The lowest eigenvalue", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Crossing", "subitem_subject_scheme": "Other"}, {"subitem_subject": "No crossing", "subitem_subject_scheme": "Other"}]}, "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": "Spectral analysis of non-commutative harmonic oscillators: The lowest eigenvalue and no crossing", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Spectral analysis of non-commutative harmonic oscillators: The lowest eigenvalue and no crossing", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1170"], "permalink_uri": "http://hdl.handle.net/10091/17861", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2014-09-05"}, "publish_date": "2014-09-05", "publish_status": "0", "recid": "11723", "relation": {}, "relation_version_is_last": true, "title": ["Spectral analysis of non-commutative harmonic oscillators: The lowest eigenvalue and no crossing"], "weko_shared_id": -1}