{"created":"2025-02-13T05:02:44.659328+00:00","id":2000218,"links":{},"metadata":{"_buckets":{"deposit":"aa023aa1-b3bf-44cd-8b3f-2461aa1a67ad"},"_deposit":{"created_by":41,"id":"2000218","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2000218"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02000218","sets":["1730444918938"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"量子論におけるブラ・ケット表記","subitem_title_language":"ja"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"山崎, 勝義","creatorNameLang":"ja"},{"creatorName":"Yamasaki, Katsuyoshi","creatorNameLang":"en"}],"familyNames":[{"familyName":"山崎","familyNameLang":"ja"},{"familyName":"Yamasaki","familyNameLang":"en"}],"givenNames":[{"givenName":"勝義","givenNameLang":"ja"},{"givenName":"Katsuyoshi","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"Copyright (c) 2024 by Author","subitem_rights_language":"en"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"ブラ・ケット表記","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"状態ベクトル","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"固有ベクトル","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"射影演算子","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"単位演算子","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"420","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"多くの量子力学のテキストに,波動関数の積の積分 ∫Ψm*Ψmdτ (1) がブラ・ケット表記 <Ψm|Ψm> (2) によりシンプルに表すことができると書かれている。その際,ブラ<Ψm|とケット|Ψm> はそれぞれ次のように <Ψm|=Ψm* (3) |Ψ>=Ψm (4) 波動関数と対応しており,互いに複素共役な波動関数を表していると説明される(ことが多い)。しかし,この解説に対して下記のような疑問(や要望)は生じないだろうか。 Q1. ブラとケットが互いに複素共役な波動関数を表すとして,その積である式(2)がなぜ積分という意味をもつのだろうか?ブラとケットが組み合わさるときだけ積分の意味をもつというルール3を設けるのだろうか? Q2. 波動関数群が正規直交系4をなすとき,波動関数自身の内積が1,異なる波動関数間の内積が0であることを, ∫Ψm*Ψmdτ=<Ψm|Ψm>=1 (5) ∫Ψm*Ψndτ=<Ψm|Ψn>=0 (6) と表す。式(5)や式(6)の左辺の積分は数学(代数学)の内積の定義を満たすから,波動関数もベクトルであるといえるが,波動関数がベクトル的に扱えることや“直交\"することをもう少し(数ベクトルや幾何ベクトルのように)直感的に理解することはできないだろうか?本書は,上記2点に関連してブラ・ケット表記の意味を理解し,その有効性と威力を活用するために書かれたmonographである","subitem_description_language":"ja"},{"subitem_description":"第8版第3刷","subitem_description_language":"ja","subitem_description_type":"Other"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"漁火書店","subitem_publisher_language":"ja"}]},"item_1617186660861":{"attribute_name":"Date","attribute_value_mlt":[{"subitem_date_issued_datetime":"2024-01-21","subitem_date_issued_type":"Created"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"book","resourceuri":"http://purl.org/coar/resource_type/c_2f33"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_be7fb7dd8ff6fe43","subitem_version_type":"NA"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"第2版第6刷(2013)"}]},{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"第3版第1刷(2014)"}]},{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"第3版第2刷(2017)"}]},{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"第3版第3刷(2018)"}]},{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"第3版第4刷(2019)"}]},{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"第3版第5刷(2020)"}]},{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"第6版第1刷(2021)"}]},{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"第6版第2刷(2021)"}]},{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"第7版第4刷(2023)"}]},{"subitem_relation_name":[{"subitem_relation_name_language":"ja","subitem_relation_name_text":"第7版第5刷(2023)"}]},{"subitem_relation_type_id":{"subitem_relation_type_id_text":"http://home.hiroshima-u.ac.jp/kyam/pages/results/monograph/","subitem_relation_type_select":"URI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2021-09-23"}],"displaytype":"simple","filename":"Refbracket_8(3).pdf","filesize":[{"value":"523.3 KB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2000218/files/Refbracket_8(3).pdf"},"version_id":"512bf01d-f56a-461a-a71f-1f6868313f08"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"34675"},"item_title":"量子論におけるブラ・ケット表記","item_type_id":"40003","owner":"41","path":["1730444918938"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2021-09-23"},"publish_date":"2021-09-23","publish_status":"0","recid":"2000218","relation_version_is_last":true,"title":["量子論におけるブラ・ケット表記"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-13T10:04:43.868186+00:00"}