No relativistic probability current for any spin

Abstract

We investigate whether the Newton-Wigner position probability density, extended from spinless particles to electrons/positrons and particles of higher spin, can be incorporated as the zero component of a four-component probability current density that transforms locally as a four-vector function of the spacetime coordinates. We find that this is not possible, in all cases.

7 pages, no figures

References in corpus (1)

• Prediction of deviations from the Rutherford formula for low-energy Coulomb scattering of wavepackets

Cited by in corpus (2)

• Relativistic Bohmian trajectories and Klein-Gordon currents for spin-0 particles
• Trajectories in coupled waveguides: an application to a recent experiment and Hiley's lessons on the falsification of the Bohmian model