{"created":"2021-03-01T06:22:55.428695+00:00","id":19823,"links":{},"metadata":{"_buckets":{"deposit":"e59d975a-138b-4cc3-a905-5432e3025665"},"_deposit":{"id":"19823","owners":[],"pid":{"revision_id":0,"type":"depid","value":"19823"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00019823","sets":["1169:1170"]},"author_link":["105514","105515"],"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":"2017-04-21","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"16","bibliographicPageStart":"165204","bibliographicVolumeNumber":"50","bibliographic_titles":[{"bibliographic_title":"JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL"}]}]},"item_6_description_20":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"As the fourth stage of the project multi-indexed orthogonal polynomials, we present the multi-indexed Meixner and little q-Jacobi (Laguerre) polynomials in the framework of 'discrete quantum mechanics' with real shifts defined on the semi-infinite lattice in one dimension. They are obtained, in a similar way to the multi-indexed Laguerre and Jacobi polynomials reported earlier, from the quantum mechanical systems corresponding to the original orthogonal polynomials by multiple application of the discrete analogue of the Darboux transformations or the Crum-Krein-Adler deletion of virtual state vectors. The virtual state vectors are the solutions of the matrix Schrodinger equation on all the lattice points having negative energies and infinite norm. This is in good contrast to the (q-)Racah systems defined on a finite lattice, in which the 'virtual state' vectors satisfy the matrix Schrodinger equation except for one of the two boundary points.","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 PHYSICS A-MATHEMATICAL AND THEORETICAL. 50(16):165204 (2017)","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=000425226400001"}]},"item_6_publisher_4":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"IOP PUBLISHING LTD"}]},"item_6_relation_48":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"10.1088/1751-8121/aa6496"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1088/1751-8121/aa6496","subitem_relation_type_select":"DOI"}}]},"item_6_rights_62":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2017 IOP Publishing Ltd"}]},"item_6_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1751-8113","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":"AA12185372","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Odake, Satoru"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Sasaki, Ryu"}],"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":"1610.09854v2.pdf","filesize":[{"value":"300.6 kB"}],"format":"application/pdf","licensefree":"© 2017 IOP Publishing Ltd","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"1610.09854v2.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/19823/files/1610.09854v2.pdf"},"version_id":"282bb470-3787-4911-96be-695524f4ee72"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"exactly solvable QM","subitem_subject_scheme":"Other"},{"subitem_subject":"discrete QM with real shifts","subitem_subject_scheme":"Other"},{"subitem_subject":"exceptional orthogonal polynomials","subitem_subject_scheme":"Other"},{"subitem_subject":"multi-indexed orthogonal polynomials","subitem_subject_scheme":"Other"},{"subitem_subject":"Meixner","subitem_subject_scheme":"Other"},{"subitem_subject":"little q-Jacobi(Laguerre) polynomials","subitem_subject_scheme":"Other"},{"subitem_subject":"Jacobi","subitem_subject_scheme":"Other"},{"subitem_subject":"Laguere polynomials","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":"Multi-indexed Meixner and little q-Jacobi (Laguerre) polynomials","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Multi-indexed Meixner and little q-Jacobi (Laguerre) polynomials","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":"19823","relation_version_is_last":true,"title":["Multi-indexed Meixner and little q-Jacobi (Laguerre) polynomials"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-14T04:16:23.688810+00:00"}