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

Text
DIAS-STP-98-13.pdf Download (1MB) |

## 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 |
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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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