{"created":"2023-06-26T11:01:31.970049+00:00","id":2257,"links":{},"metadata":{"_buckets":{"deposit":"6ac7a136-567c-435b-9f60-df27feb1acb0"},"_deposit":{"created_by":31,"id":"2257","owners":[31],"pid":{"revision_id":0,"type":"depid","value":"2257"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:00002257","sets":["6:205"]},"author_link":["14792","14791","14793"],"item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-06-18","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"587083","bibliographicVolumeNumber":"9","bibliographic_titles":[{},{"bibliographic_title":"Frontiers in Physics","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Höhn, Philipp A."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Smith, Alexander R. H."}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Lock, Maximilian P. E."}],"nameIdentifiers":[{}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"We have previously shown that three approaches to relational quantum dynamics—relational Dirac observables, the Page-Wootters formalism and quantum deparametrizations—are equivalent. Here we show that this “trinity” of relational quantum dynamics holds in relativistic settings per frequency superselection sector. Time according to a clock subsystem is defined via a positive operator-valued measure (POVM) that is covariant with respect to the group generated by its (quadratic) Hamiltonian. This differs from the usual choice of a self-adjoint clock observable conjugate to the clock momentum. It also resolves Kuchař's criticism that the Page-Wootters formalism yields incorrect localization probabilities for the relativistic particle when conditioning on a Minkowski time operator. We show that conditioning instead on the covariant clock POVM results in a Newton-Wigner type localization probability commonly used in relativistic quantum mechanics. By establishing the equivalence mentioned above, we also assign a consistent conditional-probability interpretation to relational observables and deparametrizations. Finally, we expand a recent method of changing temporal reference frames, and show how to transform states and observables frequency-sector-wise. We use this method to discuss an indirect clock self-reference effect and explore the state and temporal frame-dependence of the task of comparing and synchronizing different quantum clocks.","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Frontiers Media"}]},"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/10.3389/fphy.2021.587083","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://www.frontiersin.org/articles/10.3389/fphy.2021.587083/full","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":" © 2021 Höhn, Smith and Lock."}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2296-424X","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":"2021-09-09"}],"displaytype":"detail","filename":"Höhn-2021-Equivalence of Approaches to Relatio.pdf","filesize":[{"value":"929.2 kB"}],"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":"Höhn-2021-Equivalence of Approaches to Relatio","url":"https://oist.repo.nii.ac.jp/record/2257/files/Höhn-2021-Equivalence of Approaches to Relatio.pdf"},"version_id":"6ec6dd61-0509-41ce-9510-a4bc39341f3c"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"relational quantum dynamics","subitem_subject_scheme":"Other"},{"subitem_subject":"Problem of Time","subitem_subject_scheme":"Other"},{"subitem_subject":"relational Dirac observables","subitem_subject_scheme":"Other"},{"subitem_subject":"Page-Wootters formalism","subitem_subject_scheme":"Other"},{"subitem_subject":"quantum deparametrizations","subitem_subject_scheme":"Other"},{"subitem_subject":"Quantum clocks","subitem_subject_scheme":"Other"},{"subitem_subject":"quantum reference frames","subitem_subject_scheme":"Other"},{"subitem_subject":"relativistic quantum clocks","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":"Equivalence of Approaches to Relational Quantum Dynamics in Relativistic Settings","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Equivalence of Approaches to Relational Quantum Dynamics in Relativistic Settings","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"31","path":["205"],"pubdate":{"attribute_name":"公開日","attribute_value":"2021-09-09"},"publish_date":"2021-09-09","publish_status":"0","recid":"2257","relation_version_is_last":true,"title":["Equivalence of Approaches to Relational Quantum Dynamics in Relativistic Settings"],"weko_creator_id":"31","weko_shared_id":31},"updated":"2023-06-26T11:34:04.483605+00:00"}