{"created":"2021-03-01T07:13:22.704297+00:00","id":52078,"links":{},"metadata":{"_buckets":{"deposit":"2e79ae7a-612d-4f0e-8057-11bbad5855db"},"_deposit":{"id":"52078","owners":[],"pid":{"revision_id":0,"type":"depid","value":"52078"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00052078","sets":["312:6865:8047:8197","9:504:6868:8049:8198"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2018-06-29","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"127","bibliographicPageStart":"91","bibliographicVolumeNumber":"25","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Sciences The University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We revisit the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a self-adjoint 1-D $h$-Pseudo-differential operator within the algebraic and microlocal framework of Helffer and Sj\\\"ostrand; BS holds precisely when the Gram matrix consisting of scalar products of some WKB solutions with respect to the ``flux norm'' is not invertible. It is simplified by using action-angle variables. The interest of this procedure lies in its possible generalization to matrix-valued Hamiltonians, like Bogoliubov-de Gennes Hamiltonian.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"81S10(MSC2010)"},{"subitem_text_value":"81S30(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2017-04-04"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Université de Tunis El-Manar, Département de Mathématiques"},{"subitem_text_value":"Université de Tunis El-Manar, Département de Mathématiques／Aix Marseille Univ., Univ. Toulon, CNRS, CPT"},{"subitem_text_value":"Aix Marseille Univ., Univ. Toulon, CNRS, CPT"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ifa, Abdelwaheb"}],"nameIdentifiers":[{"nameIdentifier":"155839","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Louati, Hanen"}],"nameIdentifiers":[{"nameIdentifier":"155840","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Rouleux, Michel"}],"nameIdentifiers":[{"nameIdentifier":"155841","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":"2019-07-01"}],"displaytype":"detail","filename":"jms250201.pdf","filesize":[{"value":"259.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms250201.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/52078/files/jms250201.pdf"},"version_id":"35883a10-54a1-4682-b1cd-ec57bfee3ec8"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Bohr Sommerfeld","subitem_subject_scheme":"Other"},{"subitem_subject":"Weyl quantization","subitem_subject_scheme":"Other"},{"subitem_subject":"positive commutators","subitem_subject_scheme":"Other"},{"subitem_subject":"flux norm","subitem_subject_scheme":"Other"},{"subitem_subject":"microlocal Wronskian","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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Bohr-Sommerfeld quantization rules revisited : The method of positive commutators","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Bohr-Sommerfeld quantization rules revisited : The method of positive commutators"}]},"item_type_id":"4","owner":"1","path":["8197","8198"],"pubdate":{"attribute_name":"公開日","attribute_value":"2019-07-01"},"publish_date":"2019-07-01","publish_status":"0","recid":"52078","relation_version_is_last":true,"title":["Bohr-Sommerfeld quantization rules revisited : The method of positive commutators"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:28:17.385714+00:00"}