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The Hamiltonian of the system is defined by H = alpha . ((p) over cap - qA((x) over cap)) + m beta + H-f, where q is an element of R is a coupling constant, A((x) over cap) the quantized vector potential and H-f the free photon Hamiltonian. Since the total momentum is conserved, H is decomposed with respect to the total momentum with fiber Hamiltonian H(p) (p is an element of R-3). Since the self-adjoint operator H(p) is bounded from below, one can define the lowest energy E(p, m) := inf sigma(H(p)). We prove that E(p,m) is an eigenvalue of H(p) under the following conditions: (i) infrared regularization and (ii) E(p,m) \u003c E(p, 0). We also discuss polarization vectors and the angular momentums."}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Sasaki,  Itaru"}], "nameIdentifiers": [{"nameIdentifier": "51173", "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": "2016-09-06"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "Spectral_Analysis_Dirac_Polaron.pdf", "filesize": [{"value": "213.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensefree": "© 2014 Research Institute for Mathematical Sciences, Kyoto University.", "licensetype": "license_note", "mimetype": "application/pdf", "size": 213500.0, "url": {"label": "Spectral_Analysis_Dirac_Polaron.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/18377/files/Spectral_Analysis_Dirac_Polaron.pdf"}, "version_id": "f0df80b9-6562-47f9-af5b-74452ae1aec9"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "quantum electrodynamics", "subitem_subject_scheme": "Other"}, {"subitem_subject": "ground state", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Dirac polaron", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Dirac operator", "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": "Spectral Analysis of the Dirac Polaron", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Spectral Analysis of the Dirac Polaron", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1170"], "permalink_uri": "http://hdl.handle.net/10091/00019139", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2016-09-06"}, "publish_date": "2016-09-06", "publish_status": "0", "recid": "18377", "relation": {}, "relation_version_is_last": true, "title": ["Spectral Analysis of the Dirac Polaron"], "weko_shared_id": -1}