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arXiv:1509.00323 · Annals of Physics

A one-particle time of arrival operator for a free relativistic spin- 0 charged particle in (1+1) dimensions

Joseph Raphael R. Bunao, Eric A. Galapon

Published Nov 16, 2014• 6 citations
arXivHTMLPDF
DOI
10.1016/j.aop.2014.11.003

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Relativistic free-motion time-of-arrival theory for massive spin-1/2 particles is systematically developed. Contrary to the nonrelativistic time-of-arrival operator studied thoroughly in previous literatures, the relativistic time-of-arrival operator possesses self-adjoint extensions because of the particle-antiparticle symmetry. The nonrelativistic limit of our theory is in agreement with the nonrelativistic time-of-arrival theory. By comparing the time-of-arrival operator with the Hamiltonian operator of a free Dirac particle, one can show a duality between position space and momentum space.