History state formalism for Dirac’s theory
| cic.isFulltext | true | es |
| cic.isPeerReviewed | true | es |
| cic.lugarDesarrollo | Universidad Nacional de La Plata | es |
| cic.parentType | Articulo | |
| cic.version | info:eu-repo/semantics/publishedVersion | es |
| dc.date.accessioned | 2021-05-03T12:09:34Z | |
| dc.date.available | 2021-05-03T12:09:34Z | |
| dc.identifier.uri | https://digital.cic.gba.gob.ar/handle/11746/10917 | |
| dc.title | History state formalism for Dirac’s theory | en |
| dc.type | Artículo | es |
| dcterms.abstract | We propose a history state formalism for a Dirac particle. By introducing a reference quantum clock system it is first shown that Dirac’s equation can be derived by enforcing a timeless Wheeler-DeWitt-like equation for a global state. The Hilbert space of the whole system constitutes a unitary representation of the Lorentz group with respect to a properly defined invariant product, and the proper normalization of global states directly ensures standard Dirac’s norm. Moreover, by introducing a second quantum clock, the previous invariant product emerges naturally from a generalized continuity equation. The invariant parameter τ associated with this second clock labels history states for different particles, yielding an observable evolution in the case of a hypothetical superposition of different masses. Analytical expressions for both the space-time density and electron-time entanglement are provided for two particular families of electron states, the former including Pryce localized particles. | es |
| dcterms.creator.author | Díaz, N. L. | es |
| dcterms.creator.author | Rossignoli, Raúl Dante | es |
| dcterms.identifier.other | doi:10.1103/PhysRevD.99.045008 | es |
| dcterms.identifier.other | ISSN:2470-0029 | es |
| dcterms.identifier.url | Recurso completo | es |
| dcterms.isPartOf.issue | vol. 99, no. 4 | es |
| dcterms.isPartOf.series | Physical Review D | es |
| dcterms.issued | 2019-02-15 | |
| dcterms.language | Inglés | es |
| dcterms.license | Attribution-NonCommercial-ShareAlike 4.0 International (BY-NC-SA 4.0) | es |
| dcterms.subject | Dirac´s theory | en |
| dcterms.subject | History states | en |
| dcterms.subject | Quantum entanglement | en |
| dcterms.subject.materia | Ciencias Físicas | es |
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