Relativistic free-motion time-of-arrival
Quantum Physics
2008-11-26 v2
Abstract
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.
Cite
@article{arxiv.quant-ph/0701116,
title = {Relativistic free-motion time-of-arrival},
author = {Zhi-Yong Wang and Cai-Dong Xiong},
journal= {arXiv preprint arXiv:quant-ph/0701116},
year = {2008}
}
Comments
16 pages, no figure. Revised version