{"created":"2021-03-01T06:14:44.280515+00:00","id":11838,"links":{},"metadata":{"_buckets":{"deposit":"febc3563-7bd3-4bb1-8eb4-620ea8e23f3b"},"_deposit":{"id":"11838","owners":[],"pid":{"revision_id":0,"type":"depid","value":"11838"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00011838","sets":["1169:1170"]},"author_link":["36263","36264"],"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":"2010-08","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"8","bibliographicVolumeNumber":"51","bibliographic_titles":[{"bibliographic_title":"JOURNAL OF MATHEMATICAL PHYSICS"}]}]},"item_6_description_20":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We present a simple recipe to construct exactly and quasiexactly solvable Hamiltonians in one-dimensional \"discrete\" quantum mechanics, in which the Schrodinger equation is a difference equation. It reproduces all the known ones whose eigenfunctions consist of the Askey scheme of hypergeometric orthogonal polynomials of a continuous or a discrete variable. The recipe also predicts several new ones. An essential role is played by the sinusoidal coordinate, which generates the closure relation and the Askey Wilson algebra together with the Hamiltonian. The relationship between the closure relation and the Askey Wilson algebra is clarified. (C) 2010 American Institute of Physics. [doi:10.1063/1.3458866]","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. 51(8):083502 (2010)","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=000281905000031"}]},"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":"10.1063/1.3458866"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1063/1.3458866","subitem_relation_type_select":"DOI"}}]},"item_6_rights_62":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright © 2010 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. along with the following message: The following article appeared in J. Math. Phys. 51, 083502 (2010) and may be found at https://doi.org/10.1063/1.3458866 ."}]},"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":[{}]},{"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":"2015-09-28"}],"displaytype":"detail","filename":"Unified_theory_exactly_quasiexactly_solvable.pdf","filesize":[{"value":"351.1 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Unified_theory_exactly_quasiexactly_solvable.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/11838/files/Unified_theory_exactly_quasiexactly_solvable.pdf"},"version_id":"ef06d4dc-15e3-4413-bf3e-762be36d469c"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ANNIHILATION-CREATION OPERATORS","subitem_subject_scheme":"Other"},{"subitem_subject":"ORTHOGONAL POLYNOMIALS","subitem_subject_scheme":"Other"},{"subitem_subject":"PREPOTENTIAL APPROACH","subitem_subject_scheme":"Other"},{"subitem_subject":"SUPERSYMMETRY","subitem_subject_scheme":"Other"},{"subitem_subject":"POTENTIALS","subitem_subject_scheme":"Other"},{"subitem_subject":"DERIVATION","subitem_subject_scheme":"Other"},{"subitem_subject":"SYMMETRY","subitem_subject_scheme":"Other"},{"subitem_subject":"EQUATION","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":"Unified theory of exactly and quasiexactly solvable \"discrete\" quantum mechanics. I. Formalism","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Unified theory of exactly and quasiexactly solvable \"discrete\" quantum mechanics. I. Formalism","subitem_title_language":"en"}]},"item_type_id":"6","owner":"1","path":["1170"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2012-09-11"},"publish_date":"2012-09-11","publish_status":"0","recid":"11838","relation_version_is_last":true,"title":["Unified theory of exactly and quasiexactly solvable \"discrete\" quantum mechanics. I. Formalism"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-14T04:20:14.554300+00:00"}