Quantum backflow of a Dirac fermion on a ring
Quantum Physics
2023-08-14 v2 High Energy Physics - Theory
Abstract
We study the quantum backflow problem of a relativistic charged Dirac fermion constrained to move on a ring of radius . Using the relativistic current operator we compute the probability flux through a generic time interval to show emergence of quantum backflow. We also discuss the limiting case when the particle moves along a line.
Keywords
Cite
@article{arxiv.2201.12916,
title = {Quantum backflow of a Dirac fermion on a ring},
author = {Valentin Daniel Paccoia and Orlando Panella and Pinaki Roy},
journal= {arXiv preprint arXiv:2201.12916},
year = {2023}
}
Comments
11 pages, 4 figures. Added a detailed discussion of the continuity equation and of the radial and azimuthal components of the probability current