Heisenberg uncertainty relation for relativistic electrons
Quantum Physics
2019-12-17 v3
Abstract
The Heisenberg uncertainty relation is derived for relativistic electrons described by the Dirac equation. The standard nonrelativistic lower bound 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.
Cite
@article{arxiv.1903.11575,
title = {Heisenberg uncertainty relation for relativistic electrons},
author = {Iwo Bialynicki-Birula and Zofia Bialynicka-Birula},
journal= {arXiv preprint arXiv:1903.11575},
year = {2019}
}
Comments
Corrected version