{"_buckets": {"deposit": "184d467d-f2c1-41b1-a8c4-3d63d4c9cebd"}, "_deposit": {"id": "11884", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "11884"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00011884", "sets": ["1170"]}, "author_link": ["36409"], "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": "2010-06", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "5", "bibliographicPageEnd": "596", "bibliographicPageStart": "549", "bibliographicVolumeNumber": "22", "bibliographic_titles": [{"bibliographic_title": "Reviews in Mathematical Physics"}]}]}, "item_6_description_19": {"attribute_name": "内容記述", "attribute_value_mlt": [{"subitem_description": "Electronic version of an article published as Reviews in Mathematical Physics, Vol. 22, Issue. 5, 2010, pp.549-596, DOI:10.1142/S0129055X1000403X c World Scientific Publishing Company, http://www.worldscinet.com/rmp/rmp.shtml", "subitem_description_type": "Other"}]}, "item_6_description_20": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "The Feynman path integral for regularized nonrelativistic quantum electrodynamics is studied rigorously. We begin with the Lagrangian function of the corresponding classical mechanics and construct the Feynman path integral. In the present paper, the electromagnetic potentials are assumed to be periodic with respect to a large box and quantized through their Fourier coefficients with large wave numbers cut off. Firstly, the Feynman path integral with respect to paths on the space of particles and vector potentials is defined rigorously by means of broken line paths under the constraints. Secondly, the Feynman path integral with respect to paths on the space of particles and electromagnetic potentials is also defined rigorously by means of broken line paths and piecewise constant paths without the constraints. This Feynman path integral is stated heuristically in Feynman and Hibbs\u0027 book. Thirdly, the vacuum and the state of photons of given momenta and polarizations are expressed concretely as functions of variables consisting of the Fourier coefficients of vector potentials. It is also proved rigorously in terms of distribution theory that the Coulomb potentials between charged particles naturally appear in the above Feynman path integral approach. 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We begin with the Lagrangian function of the corresponding classical mechanics and construct the Feynman path integral. In the present paper, the electromagnetic potentials are assumed to be periodic with respect to a large box and quantized through their Fourier coefficients with large wave numbers cut off. Firstly, the Feynman path integral with respect to paths on the space of particles and vector potentials is defined rigorously by means of broken line paths under the constraints. Secondly, the Feynman path integral with respect to paths on the space of particles and electromagnetic potentials is also defined rigorously by means of broken line paths and piecewise constant paths without the constraints. This Feynman path integral is stated heuristically in Feynman and Hibbs\u0027 book. Thirdly, the vacuum and the state of photons of given momenta and polarizations are expressed concretely as functions of variables consisting of the Fourier coefficients of vector potentials. It is also proved rigorously in terms of distribution theory that the Coulomb potentials between charged particles naturally appear in the above Feynman path integral approach. This shows that the photons give rise to the Coulomb force."}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Ichinose,  Wataru"}], "nameIdentifiers": [{"nameIdentifier": "36409", "nameIdentifierScheme": "WEKO"}]}]}, "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", "download_preview_message": "", "file_order": 0, "filename": "FEYNMAN_PATH_INTEGRAL.pdf", "filesize": [{"value": "778.2 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 778200.0, "url": {"label": "FEYNMAN_PATH_INTEGRAL.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11884/files/FEYNMAN_PATH_INTEGRAL.pdf"}, "version_id": "16e8885d-4e54-44fe-b39e-036e08b07a5c"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "Feynman path integral", "subitem_subject_scheme": "Other"}, {"subitem_subject": "quantum electrodynamics", "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": "ON THE FEYNMAN PATH INTEGRAL FOR NONRELATIVISTIC QUANTUM ELECTRODYNAMICS", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "ON THE FEYNMAN PATH INTEGRAL FOR NONRELATIVISTIC QUANTUM ELECTRODYNAMICS", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1170"], "permalink_uri": "http://hdl.handle.net/10091/10747", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2010-11-02"}, "publish_date": "2010-11-02", "publish_status": "0", "recid": "11884", "relation": {}, "relation_version_is_last": true, "title": ["ON THE FEYNMAN PATH INTEGRAL FOR NONRELATIVISTIC QUANTUM ELECTRODYNAMICS"], "weko_shared_id": -1}