{"created":"2021-03-01T06:14:44.341261+00:00","id":11839,"links":{},"metadata":{"_buckets":{"deposit":"bcb3f556-12b8-4204-9e66-79cbc109d798"},"_deposit":{"id":"11839","owners":[],"pid":{"revision_id":0,"type":"depid","value":"11839"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00011839","sets":["1169:1170"]},"author_link":["36265","36266"],"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":"2010-05","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"5","bibliographicVolumeNumber":"51","bibliographic_titles":[{"bibliographic_title":"JOURNAL OF MATHEMATICAL PHYSICS"}]}]},"item_6_description_20":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We provide analytic proofs for the shape invariance of the recently discovered [Odake and Sasaki, Phys. Lett. B 679, 414 (2009)] two families of infinitely many exactly solvable one-dimensional quantum mechanical potentials. These potentials are obtained by deforming the well-known radial oscillator potential or the Darboux-Poschl-Teller potential by a degree l (l = 1,2,...) eigenpolynomial. The shape invariance conditions are attributed to new polynomial identities of degree 3l involving cubic products of the Laguerre or Jacobi polynomials. These identities are proved elementarily by combining simple identities. (C) 2010 American Institute of Physics. [doi: 10.1063/1.3371248]","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(5):053513 (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, S","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=000278182800045"}]},"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":"10.1063/1.3371248"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1063/1.3371248","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, 053513 (2010) and may be found at https://doi.org/10.1063/1.3371248 ."}]},"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,  S"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Sasaki,  R"}],"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":"Infinitely_many_shape-invariant_potentials_cubic_identities.pdf","filesize":[{"value":"159.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Infinitely_many_shape-invariant_potentials_cubic_identities.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/11839/files/Infinitely_many_shape-invariant_potentials_cubic_identities.pdf"},"version_id":"06410539-1be2-4db1-a851-15e13890a6c6"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ANNIHILATION-CREATION OPERATORS","subitem_subject_scheme":"Other"},{"subitem_subject":"DISCRETE QUANTUM-MECHANICS","subitem_subject_scheme":"Other"},{"subitem_subject":"ORTHOGONAL POLYNOMIALS","subitem_subject_scheme":"Other"},{"subitem_subject":"SUPERSYMMETRY","subitem_subject_scheme":"Other"},{"subitem_subject":"SYSTEMS","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":"Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials","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":"11839","relation_version_is_last":true,"title":["Infinitely many shape-invariant potentials and cubic identities of the Laguerre and Jacobi polynomials"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-14T04:13:40.955424+00:00"}