Time-evolution of highly localized positive-energy states of the free Dirac electron

Bracken, A.J., Flohr, J.A. and Melloy, G.F. (2005) Time-evolution of highly localized positive-energy states of the free Dirac electron. Proceedings of The Royal Society A-mathematical Physical And Engineering Sciences, 461 2063: 3633-3645. doi:10.1098/rspa.2005.1538


Author Bracken, A.J.
Flohr, J.A.
Melloy, G.F.
Title Time-evolution of highly localized positive-energy states of the free Dirac electron
Journal name Proceedings of The Royal Society A-mathematical Physical And Engineering Sciences   Check publisher's open access policy
ISSN 1364-5021
1471-2946
Publication date 2005-11
Sub-type Article (original research)
DOI 10.1098/rspa.2005.1538
Volume 461
Issue 2063
Start page 3633
End page 3645
Total pages 13
Editor T. Stuart
Place of publication London, United Kingdom
Publisher The Royal Society Publishing
Collection year 2005
Language eng
Subject 240201 Theoretical Physics
780101 Mathematical sciences
Abstract Highly localized positive-energy states of the free Dirac electron are constructed and shown to evolve in a simple way under the action of Dirac's equation. When the initial uncertainty in position is small on the scale of the Compton wavelength, there is an associated uncertainty in the mean energy that is large compared with the rest mass of the electron. However, this does not lead to any breakdown of the one-particle description, associated with the possibility of pair-production, but rather leads to a rapid expansion of the probability density outwards from the point of localization, at speeds close to the speed of light.
Keyword Relativistic Localization
Relativistic Wave Equations
Position Operators
Relativistic Quantum Mechanics
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

 
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Created: Wed, 15 Aug 2007, 06:44:40 EST