Localization and Causality for a free particle
Quantum Physics
2009-11-07 v2
Abstract
Theorems (most notably by Hegerfeldt) prove that an initially localized particle whose time evolution is determined by a positive Hamiltonian will violate causality. We argue that this apparent paradox is resolved for a free particle described by either the Dirac equation or the Klein-Gordon equation because such a particle cannot be localized in the sense required by the theorems.
Keywords
Cite
@article{arxiv.quant-ph/0111060,
title = {Localization and Causality for a free particle},
author = {N. Barat and J. C. Kimball},
journal= {arXiv preprint arXiv:quant-ph/0111060},
year = {2009}
}
Comments
9 pages,no figures,new section added