English

Relativistic electron wave packets featuring persistent quantum backflow

Quantum Physics 2021-12-28 v1 High Energy Physics - Theory

Abstract

Closed-form, normalizable solutions of Dirac's equation propagating within a semi-infinite cylindrical waveguide are obtained in terms of ordinary and modified Bessel functions. These relativistic wave packets induce quantum backflow on a cross-section of the cylinder at practically any distance along the waveguide, becoming spin-polarized in the nonrelativistic limit. The predicted backflow is stable in time and is manifest regardless of the initial wave function.

Keywords

Cite

@article{arxiv.2112.13180,
  title  = {Relativistic electron wave packets featuring persistent quantum backflow},
  author = {Siddhant Das},
  journal= {arXiv preprint arXiv:2112.13180},
  year   = {2021}
}

Comments

7 pages, 2 figures

R2 v1 2026-06-24T08:31:22.719Z