{"created":"2023-06-26T11:01:32.469934+00:00","id":2265,"links":{},"metadata":{"_buckets":{"deposit":"bfdccfd4-565c-4eb0-a64b-c176c9f65295"},"_deposit":{"created_by":31,"id":"2265","owners":[31],"pid":{"revision_id":0,"type":"depid","value":"2265"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:00002265","sets":["6:226"]},"author_link":["14833","14832","14829","14836","14835","14834","14830","14831"],"item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-08-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"085310","bibliographicVolumeNumber":"11","bibliographic_titles":[{},{"bibliographic_title":"AIP Advances","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Anh-Tai, Tran Duong"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Hoang, Duc T."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Truong, Thu D. H."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Nguyen, Chinh Dung"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Uyen, Le Ngoc"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Dung, Do Hung"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Vy, Nguyen Duy"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Pham, Vinh N. T."}],"nameIdentifiers":[{}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"In this work, we present a rigorous mathematical scheme for the derivation of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by the potential V-per(x) = lambda x(alpha), where alpha is a positive integer, using the non-degenerate time-independent perturbation theory. To do so, we derive a generalized formula for the integral I = integral(+infinity)(-infinity)x(alpha)exp(-x(2))H-n(x)H-m(x)d(x), where H-n(x) denotes the Hermite polynomial of degree n, using the generating function of orthogonal polynomials. Finally, the analytical results with alpha = 3 and alpha = 4 are discussed in detail and compared with the numerical calculations obtained by the Lagrange-mesh method.","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"American Institute of Physics"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.1063/5.0059800","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_17":{"attribute_name":"Related site","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://aip.scitation.org/doi/10.1063/5.0059800","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© 2021 The Author(s)"}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2158-3226","subitem_source_identifier_type":"ISSN"}]},"item_10001_version_type_20":{"attribute_name":"Author's flag","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-09-10"}],"displaytype":"detail","filename":"Anh-Tai-2021-Analytical study of the sth-order.pdf","filesize":[{"value":"5.4 MB"}],"format":"application/pdf","license_note":"CC BY 4.0\nCreative Commons Attribution 4.0 International (https://creativecommons.org/licenses/by/4.0/)","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Anh-Tai-2021-Analytical study of the sth-order","url":"https://oist.repo.nii.ac.jp/record/2265/files/Anh-Tai-2021-Analytical study of the sth-order.pdf"},"version_id":"cdce7687-f636-4c26-a1ce-b293bbe6670d"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ANHARMONIC-OSCILLATOR","subitem_subject_scheme":"Other"},{"subitem_subject":"ENERGY SURFACES","subitem_subject_scheme":"Other"},{"subitem_subject":"EIGENVALUES","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":"Analytical study of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by a spatially power-law potential Vper(x) = λxα","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Analytical study of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by a spatially power-law potential Vper(x) = λxα","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"31","path":["226"],"pubdate":{"attribute_name":"公開日","attribute_value":"2021-09-10"},"publish_date":"2021-09-10","publish_status":"0","recid":"2265","relation_version_is_last":true,"title":["Analytical study of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by a spatially power-law potential Vper(x) = λxα"],"weko_creator_id":"31","weko_shared_id":31},"updated":"2023-06-26T11:33:58.051296+00:00"}