{"created":"2021-03-01T06:22:55.493605+00:00","id":19824,"links":{},"metadata":{"_buckets":{"deposit":"61f63ed6-0af1-424d-aaf5-0a6ebae2e061"},"_deposit":{"id":"19824","owners":[],"pid":{"revision_id":0,"type":"depid","value":"19824"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00019824","sets":["1169:1170"]},"author_link":["105516"],"item_1628147817048":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_6_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017-05","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"053A01","bibliographicVolumeNumber":"5","bibliographic_titles":[{"bibliographic_title":"PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS"}]}]},"item_6_description_20":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Multi-indexed orthogonal polynomials (the Meixner, little q-Jacobi (Laguerre), (q-) Racah, Wilson, and Askey-Wilson types) satisfying second-order difference equations were constructed in discrete quantum mechanics. They are polynomials in sinusoidal coordinates eta(x) (x is the coordinate of the quantum system) and are expressed in terms of Casorati determinants whose matrix elements are functions of x at various points. By using shape-invariance properties, we derive various equivalent determinant expressions, especially those whose matrix elements are functions of the same point x. Except for the (q-) Racah case, they can be expressed in terms of eta only, without explicit x-dependence.","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":"PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS. 5:053A01 (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=000405373100002"}]},"item_6_publisher_4":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"OXFORD UNIV PRESS INC"}]},"item_6_relation_48":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"10.1093/ptep/ptx051"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1093/ptep/ptx051","subitem_relation_type_select":"DOI"}}]},"item_6_rights_62":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© The Author(s) 2017. Published by Oxford University Press on behalf of the Physical Society of Japan. / This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited."}]},"item_6_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2050-3911","subitem_source_identifier_type":"ISSN"}]},"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":"ptx051.pdf","filesize":[{"value":"390.7 kB"}],"format":"application/pdf","licensefree":"© The Author(s) 2017. Published by Oxford University Press on behalf of the Physical Society of Japan. / This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"ptx051.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/19824/files/ptx051.pdf"},"version_id":"cb8942cd-3bc1-4916-87f7-1fce103c6a1e"}]},"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":"New determinant expressions of multi-indexed orthogonal polynomials in discrete quantum mechanics","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"New determinant expressions of multi-indexed orthogonal polynomials in discrete quantum mechanics","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":"19824","relation_version_is_last":true,"title":["New determinant expressions of multi-indexed orthogonal polynomials in discrete quantum mechanics"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-14T04:16:21.381899+00:00"}