{"created":"2023-07-27T06:26:43.111822+00:00","id":10551,"links":{},"metadata":{"_buckets":{"deposit":"9c086af7-38f6-4f63-9a74-68afb05b2e7d"},"_deposit":{"created_by":3,"id":"10551","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"10551"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00010551","sets":["934:935:937"]},"author_link":["80600","2364","15115","16008","796"],"item_4_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2012-07-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"6","bibliographicPageStart":"1250013","bibliographicVolumeNumber":"24","bibliographic_titles":[{"bibliographic_title":"Reviews in Mathematical Physics"}]}]},"item_4_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"廣島, 文生"}],"nameIdentifiers":[{},{}]},{"creatorNames":[{"creatorName":"一瀬, 孝"}],"nameIdentifiers":[{},{}]}]},"item_4_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Path integral representations for generalized Schrödinger operators obtained under a class of Bernstein functions of the Laplacian are established. The one-to-one correspondence of Bernstein functions with Lévy subordinators is used, thereby the role of Brownian motion entering the standard FeynmanKac formula is taken here by subordinate Brownian motion. As specific examples, fractional and relativistic Schrödinger operators with magnetic field and spin are covered. Results on self-adjointness of these operators are obtained under conditions allowing for singular magnetic fields and singular external potentials as well as arbitrary integer and half-integer spin values. This approach also allows to propose a notion of generalized Kato class for which an L p-L q bound of the associated generalized Schrödinger semigroup is shown. As a consequence, diamagnetic and energy comparison inequalities are also derived. © 2012 World Scientific Publishing Company.","subitem_description_type":"Abstract"}]},"item_4_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00010538","subitem_identifier_reg_type":"JaLC"}]},"item_4_publisher_17":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"World Scientific Publishing"}]},"item_4_relation_12":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1142/S0129055X12500134","subitem_relation_type_select":"DOI"}}]},"item_4_source_id_11":{"attribute_name":"NCID","attribute_value_mlt":[{"subitem_source_identifier":"AA10723815","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0129-055X","subitem_source_identifier_type":"ISSN"}]},"item_4_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hiroshima, Fumio"}],"nameIdentifiers":[{},{},{}]},{"creatorNames":[{"creatorName":"Ichinose, Takashi"}],"nameIdentifiers":[{},{},{}]},{"creatorNames":[{"creatorName":"Lörinczi, József"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-10-03"}],"displaytype":"detail","filename":"SC-PR-ICHINOSE-T-1250013.pdf","filesize":[{"value":"457.7 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"SC-PR-ICHINOSE-T-1250013.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/10551/files/SC-PR-ICHINOSE-T-1250013.pdf"},"version_id":"3fd54f65-f0b1-4d96-af11-35218ac78cab"}]},"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":"Path integral representation for schrödinger operators with bernstein functions of the laplacian","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Path integral representation for schrödinger operators with bernstein functions of the laplacian"}]},"item_type_id":"4","owner":"3","path":["937"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-10-03"},"publish_date":"2017-10-03","publish_status":"0","recid":"10551","relation_version_is_last":true,"title":["Path integral representation for schrödinger operators with bernstein functions of the laplacian"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-07-27T09:31:47.161529+00:00"}