English

Backflow in relativistic wave equations

Classical Physics 2022-06-15 v1 General Relativity and Quantum Cosmology Quantum Physics

Abstract

We show that, contrary to the statements made by many authors, the backflow is not a nonclassical effect. The backflow is a characteristic feature of solutions of the wave equations: quantum and classical. We present simple solutions of the Dirac equation, Maxwell equations and equations of linearized gravity where the backflow phenomenon is clearly seen. In this work we describe backflow in relativistic theories but this phenomenon can occur in the solutions of all kinds of wave equations: quantum and classical.

Keywords

Cite

@article{arxiv.2204.10880,
  title  = {Backflow in relativistic wave equations},
  author = {Iwo Bialynicki-Birula and Zofia Bialynicka-Birula and Szymon Augustynowicz},
  journal= {arXiv preprint arXiv:2204.10880},
  year   = {2022}
}

Comments

Submitted to Journal of Physics A

R2 v1 2026-06-24T10:56:17.563Z