Localizing the Relativistic Electron

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dc.creatorBracken, A. J.
dc.creatorMelloy, G. F.
dc.date1999-03-28
dc.date.accessioned2026-07-07T10:55:11Z
dc.date.available2026-07-07T10:55:11Z
dc.descriptionA 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. It is shown that, although this operator does not represent an observable in the usual sense, and has no positive-energy (generalized) eigenstates, the associated 4-vector density 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.
dc.description19 pages including 1 figure (1 LatTex2e file, 1 postscript file). Uses package amssymb. Typos corrected
dc.identifierhttps://arxiv.org/abs/quant-ph/9903087
dc.identifierhttp://arxiv.org/abs/quant-ph/9903087
dc.identifierJ.Phys.A32:6127-6139,1999
dc.identifierdoi:10.1088/0305-4470/32/34/302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186035
dc.subjectQuantum Physics
dc.titleLocalizing the Relativistic Electron
dc.typetext

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