On a proper-time approach to localization
- URL: http://arxiv.org/abs/2009.13068v1
- Date: Thu, 24 Sep 2020 19:58:08 GMT
- Title: On a proper-time approach to localization
- Authors: E. R. F. Taillebois and A. T. Avelar
- Abstract summary: The causality issues concerning Hegerfeldt's paradox and the localization of relativistic quantum systems are addressed through a proper-time formalism.
It is shown that physically acceptable states are necessarily associated with the existence of a temporal uncertainty and their proper-time evolution is not subject to the causality violation predicted by Hegerfeldt.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The causality issues concerning Hegerfeldt's paradox and the localization of
relativistic quantum systems are addressed through a proper-time formalism of
single-particle operators. The proposed description does not depend on
classical parameters connected to an external observer and results in a
single-particle formalism in which localization is described by explicitly
covariant four-vector operators associated with POVM measurements parametrized
by the system's proper-time. As a consequence, it is shown that physically
acceptable states are necessarily associated with the existence of a temporal
uncertainty and their proper-time evolution is not subject to the causality
violation predicted by Hegerfeldt.
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