Rebound Motion of Localized Dirac Wavefunctions
Abstract
It is shown that the carrier of a bounded localized free Dirac wavefunction shrinks from infinity and subsequently expands to infinity again. The motion occurs isotropicly at the speed of light. In between there is the phase of rebound, which is limited in time and space in the order of the diameter of the carrier at its minimal extension. This motion proceeds anisotropicly and abruptly as for every direction in space there is a specific time, at which the change from shrinking to expanding happens instantaneously. Asymptotically, regarding the past and the future as well, the probability of position concentrates up to 1 within any spherical shell whose outer radius increases at light speed.
Keywords
Cite
@article{arxiv.2004.07938,
title = {Rebound Motion of Localized Dirac Wavefunctions},
author = {Domenico P. L. Castrigiano},
journal= {arXiv preprint arXiv:2004.07938},
year = {2020}
}
Comments
Keywords: Dirac wavefunction, localization, causal time evolution, negative energy. arXiv admin note: substantial text overlap with arXiv:1711.06556