Localizing the Relativistic Electron

Bracken, A. J. (1998) Localizing the Relativistic Electron. (Preprint)

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Abstract

A causally well-behaved solution of the localization problem for the free electron is given, with natural space-time transformation properties, in terms of Dirac’s position operator x, It is shown that, although x is not an observable in the usual sense, and has no positive-energy (generalized) eigenstates, the 4-vector density (ρ(x,t), j(x,t)/c) is observable, and can be localized arbitrarily precisely about any point in space, at any instant of time, using only positive-energy states. A suitable spin operator can be diagonalized at the same time.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:07
Last Modified: 18 Jul 2018 10:05
URI: http://dair.dias.ie/id/eprint/683

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