Breakdown of agreement between non-relativistic and relativistic quantum dynamical predictions for the periodically kicked rotor

TL;DR

This paper investigates the divergence between non-relativistic and relativistic quantum predictions for an electron under time-dependent forces, revealing that discrepancies occur even within the non-relativistic regime.

Contribution

It extends previous work by demonstrating the breakdown of agreement in relativistic and non-relativistic quantum dynamics for electrons with time-dependent forces.

Findings

Breakdown of agreement occurs in non-relativistic regime

Theoretical and numerical evidence supports the divergence

Relativistic effects are significant even at low energies

Abstract

As an extension of our recent work (Results in Physics 12, 147-152 (2019)), we show, both theoretically and numerically, that the breakdown of agreement between the non-relativistic and relativistic quantum dynamical predictions in the non-relativistic regime also occurs for an electron subjected to a time-dependent force.