Quantum backflow of a Dirac fermion on a ring

Abstract

We study the quantum backflow problem of a relativistic charged Dirac fermion constrained to move on a ring of radius $R$. 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.

11 pages, 4 figures. Added a detailed discussion of the continuity equation and of the radial and azimuthal components of the probability current

Cited by in corpus (2)

• Comment on "Backflow in relativistic wave equations"
• Different routes to the classical limit of backflow