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The simplest examples, the one-indexed orthogonal polynomials, are the infinite families of the exceptional Laguerre and Jacobi polynomials of types I and II constructed by the present authors. The totality of the integer indices of the new polynomials are finite and they correspond to the degrees of the \u0027virtual state wavefunctions\u0027 which are \u0027deleted\u0027 by the generalisation of Crum-Adler theorem. Each polynomial has another integer n which counts the nodes. (C) 2011 Elsevier B.V. All rights reserved."}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Odake,  Satoru"}], "nameIdentifiers": [{"nameIdentifier": "36188", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Sasaki,  Ryu"}], "nameIdentifiers": [{"nameIdentifier": "36189", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2015-09-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Exactly_solvable_quantum_mechanics_infinite_families.pdf", "filesize": [{"value": "208.9 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 208900.0, "url": {"label": "Exactly_solvable_quantum_mechanics_infinite_families.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11811/files/Exactly_solvable_quantum_mechanics_infinite_families.pdf"}, "version_id": "89626577-1c29-4a97-8448-e9076a164927"}]}, "item_keyword": {"attribute_name": "\u30ad\u30fc\u30ef\u30fc\u30c9", "attribute_value_mlt": [{"subitem_subject": "Shape invariance", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Orthogonal polynomials", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1169/1170"], "permalink_uri": "http://hdl.handle.net/10091/16121", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2012-12-05"}, "publish_date": "2012-12-05", "publish_status": "0", "recid": "11811", "relation": {}, "relation_version_is_last": true, "title": ["Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials"], "weko_shared_id": -1}