Backflow in relativistic wave equations

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.

Submitted to Journal of Physics A

References in corpus (6)

• The role of the Riemann-Silberstein vector in classical and quantum theories of electromagnetism
• Relativistic electron wave packets carrying angular momentum
• On the experiment-friendly formulation of quantum backflow
• Twisted Localized Solutions of the Dirac Equation: Hopfion-like States of Relativistic Electrons
• Exponential beams of electromagnetic radiation
• Quantum Back Flow Across a Black Hole Horizon in a Toy Model Approach

Cited by in corpus (5)

• Energy backflow in unidirectional spatiotemporally localized wavepackets
• Demonstrating backflow in classical two beams' interference
• Comment on "Backflow in relativistic wave equations"
• Different routes to the classical limit of backflow
• Magnetic tuning of quantum backflow: Schrödinger vs Pauli system