TY - JOUR

T1 - Relativistic entanglement

AU - Horwitz, Lawrence

AU - Arshansky, Rafael I.

N1 - Publisher Copyright:
© 2018 Elsevier B.V.

PY - 2018/7/3

Y1 - 2018/7/3

N2 - The relativistic quantum theory of Stueckelberg, Horwitz and Piron (SHP) describes in a simple way the experiment on interference in time of an electron emitted by femtosecond laser pulses carried out by Lindner et al. In this paper, we show that, in a way similar to our study of the Lindner et al. experiment (with some additional discussion of the covariant quantum mechanical description of spin and angular momentum), the experiment proposed by Palacios et al. to demonstrate entanglement of a two electron state, where the electrons are separated in time of emission, has a consistent interpretation in terms of the SHP theory. We find, after a simple calculation, results in essential agreement with those of Palacios et al.; but with the observed times as values of proper quantum observables.

AB - The relativistic quantum theory of Stueckelberg, Horwitz and Piron (SHP) describes in a simple way the experiment on interference in time of an electron emitted by femtosecond laser pulses carried out by Lindner et al. In this paper, we show that, in a way similar to our study of the Lindner et al. experiment (with some additional discussion of the covariant quantum mechanical description of spin and angular momentum), the experiment proposed by Palacios et al. to demonstrate entanglement of a two electron state, where the electrons are separated in time of emission, has a consistent interpretation in terms of the SHP theory. We find, after a simple calculation, results in essential agreement with those of Palacios et al.; but with the observed times as values of proper quantum observables.

KW - Entanglement

KW - Relativistic quantum theory

KW - Relativistic spin

UR - http://www.scopus.com/inward/record.url?scp=85045462355&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2018.04.004

DO - 10.1016/j.physleta.2018.04.004

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AN - SCOPUS:85045462355

VL - 382

SP - 1701

EP - 1708

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 26

ER -