Heisenberg uncertainty relation for relativistic electrons

Abstract

The Heisenberg uncertainty relation is derived for relativistic electrons described by the Dirac equation. The standard nonrelativistic lower bound $3/2\hslash$ is attained only in the limit and the wave function that reproduces this value is singular. At the other end, in the ultrarelativistic limit, the bound is the same as that found before for photons.

Corrected version

References in corpus (4)

• Controlled free-induction decay in the extreme ultraviolet
• Relativistic electron wave packets carrying angular momentum
• Phase-Resolved Two-Dimensional Spectroscopy of Electronic Wavepackets by Laser-Induced XUV Free Induction Decay
• Twisted Localized Solutions of the Dirac Equation: Hopfion-like States of Relativistic Electrons

Cited by in corpus (4)

• A quantum optical description of photon statistics and cross-correlations in high harmonic generation
• Role of Spin-Orbit Coupling in High-order Harmonic Generation Revealed by Super-Cycle Rydberg Trajectories
• Noninteger high-harmonic generation from extended correlated systems
• High Harmonic Generation from Isolated Bound States: Tunable Emission Spectra and Mollow Triplets