Hypothetical Velocity Measurements of a Dirac Particle

概要

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The characteristic behaviour of a wave packet of a Dirac particle immediately after a precise position measurement, which is essentially due to the presence of inner degrees of freedom or the commutativity of the position and the velocity operators, is reinvestigated in comparison wtih that of a fictitious one-component relativistic particle that has been examined by Aharonov and Bohm and is assumed to have only positive energy states. In order to distinguish this particle from a Dirac particle, another hypothetical experiment of three successive position measurements(a modification of the gedankenexperiment originally discussed by Dirac)is presented. Further, the procedure of this velocity measurement is analyzed by a three-dimensional treatment, which reveals the polarity of the Dirac electron and illustrates the non-commutativity of different components of the velocity. Finally the possibility of constructing an arbitrarily small wave packet of a Dirac particle with positive energy states only, and the possibility of applying the present analysis to bosons are discussed.
理論物理学刊行会の論文