{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1360004236162489088.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1142/s0217751x12500765"}},{"identifier":{"@type":"URI","@value":"https://www.worldscientific.com/doi/pdf/10.1142/S0217751X12500765"}},{"identifier":{"@type":"DOI","@value":"10.48550/arxiv.1105.1294"}},{"identifier":{"@type":"DOI","@value":"10.1142/s0217751x12500765;"}}],"resourceType":"学術雑誌論文(journal article)","dc:title":[{"@value":"MOMENTUM AND HAMILTONIAN IN COMPLEX ACTION THEORY"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p> In the complex action theory (CAT) we explicitly examine how the momentum and Hamiltonian are defined from the Feynman path integral (FPI) point of view based on the complex coordinate formalism of our foregoing paper. After reviewing the formalism briefly, we describe in FPI with a Lagrangian the time development of a ξ-parametrized wave function, which is a solution to an eigenvalue problem of a momentum operator. Solving this eigenvalue problem, we derive the momentum and Hamiltonian. Oppositely, starting from the Hamiltonian we derive the Lagrangian in FPI, and we are led to the momentum relation again via the saddle point for p. This study confirms that the momentum and Hamiltonian in the CAT have the same forms as those in the real action theory. We also show the third derivation of the momentum relation via the saddle point for q. </jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1420282801193906816","@type":"Researcher","personIdentifier":[{"@type":"KAKEN_RESEARCHERS","@value":"10391731"},{"@type":"NRID","@value":"1000010391731"},{"@type":"NRID","@value":"9000003414378"},{"@type":"NRID","@value":"9000401950731"},{"@type":"NRID","@value":"9000364782538"},{"@type":"NRID","@value":"9000351497219"},{"@type":"NRID","@value":"9000006554656"},{"@type":"NRID","@value":"9000351486812"},{"@type":"NRID","@value":"9000409295123"},{"@type":"RESEARCHMAP","@value":"https://researchmap.jp/read0105424"}],"foaf:name":[{"@value":"KEIICHI NAGAO"}],"jpcoar:affiliationName":[{"@value":"Faculty of Education, Ibaraki University, Bunkyo 2-1-1, Mito 310-8512, Japan"}]},{"@id":"https://cir.nii.ac.jp/crid/1380004236162489088","@type":"Researcher","foaf:name":[{"@value":"HOLGER BECH NIELSEN"}],"jpcoar:affiliationName":[{"@value":"Niels Bohr Institute, University of Copenhagen, 17 Blegdamsvej, 2100 Copenhagen ϕ, Denmark"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"0217751X"},{"@type":"EISSN","@value":"1793656X"}],"prism:publicationName":[{"@value":"International Journal of Modern Physics A"}],"dc:publisher":[{"@value":"World Scientific Pub Co Pte Lt"}],"prism:publicationDate":"2012-05-27","prism:volume":"27","prism:number":"14","prism:startingPage":"1250076"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","url":[{"@id":"https://www.worldscientific.com/doi/pdf/10.1142/S0217751X12500765"}],"createdAt":"2012-05-18","modifiedAt":"2019-08-07","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=Astronomy%20and%20Astrophysics","dc:title":"Astronomy and Astrophysics"},{"@id":"https://cir.nii.ac.jp/all?q=Nuclear%20and%20High%20Energy%20Physics","dc:title":"Nuclear and High Energy 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