{"created":"2021-03-01T06:22:55.301132+00:00","id":19821,"links":{},"metadata":{"_buckets":{"deposit":"a0071edd-604a-4eed-8564-029e4eb0c04a"},"_deposit":{"id":"19821","owners":[],"pid":{"revision_id":0,"type":"depid","value":"19821"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00019821","sets":["1169:1170"]},"author_link":["105511"],"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":"2016-11","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"11","bibliographicPageStart":"113503","bibliographicVolumeNumber":"57","bibliographic_titles":[{"bibliographic_title":"JOURNAL OF MATHEMATICAL PHYSICS"}]}]},"item_6_description_20":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We consider the exactly solvable quantum mechanical systems whose eigenfunctions are described by the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types. Corresponding to the recurrence relations with constant coefficients for the M-indexed orthogonal polynomials, it is expected that the systems satisfy the generalized closure relations. In fact we can verify this statement for small M examples. The generalized closure relation gives the exact Heisenberg operator solution of a certain operator, from which the creation and annihilation operators of the system are obtained. Published by AIP Publishing.","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 PHYSICS. 57(11):113503 (2016)","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":"Odake, Satoru","subitem_link_url":"http://soar-rd.shinshu-u.ac.jp/profile/ja.uhLeuUkV.html"}]},"item_6_link_67":{"attribute_name":"WoS","attribute_value_mlt":[{"subitem_link_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000389533600026"}]},"item_6_publisher_4":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"AMER INST PHYSICS"}]},"item_6_relation_48":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"10.1063/1.4966985"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1063/1.4966985","subitem_relation_type_select":"DOI"}}]},"item_6_rights_62":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2016 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. / The following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 57(11):113503 (2016) and may be found at (https://doi.org/10.1063/1.4966985)."}]},"item_6_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0022-2488","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":"AA00701758","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Odake, Satoru"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-05-08"}],"displaytype":"detail","filename":"1606.02836v1.pdf","filesize":[{"value":"302.7 kB"}],"format":"application/pdf","licensefree":"© 2016 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. / The following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 57(11):113503 (2016) and may be found at (https://doi.org/10.1063/1.4966985).","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"1606.02836v1.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/19821/files/1606.02836v1.pdf"},"version_id":"babaed18-a42f-493f-b4ca-bfef0f692a18"}]},"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":"Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators","subitem_title_language":"en"}]},"item_type_id":"6","owner":"1","path":["1170"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2018-05-08"},"publish_date":"2018-05-08","publish_status":"0","recid":"19821","relation_version_is_last":true,"title":["Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-14T04:16:20.632675+00:00"}