Quantum speed limit for a relativistic electron in the noncommutative phase space
High Energy Physics - Theory
2017-09-13 v3
Abstract
The influence of the noncommutativity on the average speed of a relativistic electron interacting with a uniform magnetic field within the minimum evolution time is investigated. We find that it is possible for the wave packet of the electron to travel faster than the speed of light in vacuum because of the noncommutativity. It suggests that due to the noncommutativity, Lorentz invariance is violated in the relativistic quantum mechanics region.
Cite
@article{arxiv.1702.03167,
title = {Quantum speed limit for a relativistic electron in the noncommutative phase space},
author = {Kang Wang and Yu-Fei Zhang and Qing Wang and Zheng-Wen Long and Jian Jing},
journal= {arXiv preprint arXiv:1702.03167},
year = {2017}
}