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dc.title History state formalism for scalar particles en
dc.type Artículo es
dcterms.abstract We present a covariant quantum formalism for scalar particles based on an enlarged Hilbert space. The particular physical theory can be introduced through a timeless Wheeler DeWitt-like equation, whose projection onto four-dimensional coordinates leads to the Klein-Gordon equation. The standard quantum mechanical product in the enlarged space, which is invariant and positive definite, implies the usual Klein- Gordon product when applied to its eigenstates. Moreover, the standard three-dimensional invariant measure emerges naturally from the flat measure in four dimensions when mass eigenstates are considered, allowing a rigorous identification between definite mass history states and the standard Wigner representation. Connections with the free propagator of scalar field theory and localized states are subsequently derived. The formalism also allows the superposition of different theories and remains valid in the presence of a fixed external field, revealing special orthogonality relations. Other details such as extended identities for the current density, the quantization of parameterized theories and the nonrelativistic limit, with its connection to the Page and Wooters formalism, are discussed. A related consistent second quantization formulation is also introduced. en
dcterms.issued 2019-12-30
dcterms.language Inglés es
dcterms.license Attribution-NonCommercial-NoDerivatives 4.0 Internacional es
dcterms.subject Relativistic quantum history states en
dcterms.subject scalar particles en
dcterms.subject quantum entanglement en
cic.version info:eu-repo/semantics/submittedVersion es Diaz, Nahuel es Matera, Juan Mauricio es Rossignoli, Raúl Dante es
cic.lugarDesarrollo Universidad Nacional de La Plata es
dcterms.subject.materia Ciencias Físicas es
dcterms.identifier.url Recurso completo es
dcterms.isPartOf.issue vol. 100 es
dcterms.isPartOf.series Physical Review D es
cic.isPeerReviewed true es
cic.isFulltext true es


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