| dc.creator | Díaz, Nahuel Luciano | |
| dc.creator | Rossignoli, Raúl Dante | |
| dc.date | 2019 | |
| dc.date | 2021-09-16T15:31:19Z | |
| dc.date.accessioned | 2023-07-15T03:08:06Z | |
| dc.date.available | 2023-07-15T03:08:06Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/124980 | |
| dc.identifier | issn:2470-0010 | |
| dc.identifier | issn:2470-0029 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7464569 | |
| dc.description | 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. | |
| dc.description | Instituto de Física La Plata | |
| dc.description | Comisión de Investigaciones Científicas de la provincia de Buenos Aires | |
| dc.format | application/pdf | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.rights | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
| dc.subject | Física | |
| dc.subject | Quantum entanglement | |
| dc.subject | Physics | |
| dc.subject | Lorentz group | |
| dc.subject | Invariant (physics) | |
| dc.subject | Superposition principle | |
| dc.subject | Unitary representation | |
| dc.subject | Observable | |
| dc.subject | Quantum clock | |
| dc.subject | Mathematical physics | |
| dc.subject | Hilbert space | |
| dc.title | History state formalism for Dirac’s theory | |
| dc.type | Articulo | |
| dc.type | Preprint | |
