English

No relativistic probability current for any spin

Quantum Physics 2019-05-22 v1

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.

Cite

@article{arxiv.1811.03323,
  title  = {No relativistic probability current for any spin},
  author = {Scott E. Hoffmann},
  journal= {arXiv preprint arXiv:1811.03323},
  year   = {2019}
}

Comments

7 pages, no figures

R2 v1 2026-06-23T05:08:45.687Z