Quantum contextuality for a relativistic spin-1/2 particle
Jing-Ling Chen, Hong-Yi Su, Chunfeng Wu, Dong-Ling Deng, Adan Cabello,, L. C. Kwek, C. H. Oh
TL;DR
This paper demonstrates that quantum contextuality naturally arises in relativistic spin-1/2 particles, such as electrons in Coulomb potential, when relativistic effects are considered, unlike the nonrelativistic case.
Contribution
It reveals the emergence of quantum contextuality in relativistic particles, extending the understanding beyond nonrelativistic quantum mechanics.
Findings
Quantum contextuality appears in relativistic electrons in Coulomb potential.
Violation of noncontextuality inequalities indicates contextuality.
Contextuality also discussed for free Dirac electrons and Dirac oscillator.
Abstract
The quantum predictions for a single nonrelativistic spin-1/2 particle can be reproduced by noncontextual hidden variables. Here we show that quantum contextuality for a relativistic electron moving in a Coulomb potential naturally emerges if relativistic effects are taken into account. The contextuality can be identified through the violation of noncontextuality inequalities. We also discuss quantum contextuality for the free Dirac electron as well as the relativistic Dirac oscillator.
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