Relativistic free-motion time-of-arrival

Details Relativistic free-motion time-of-arrival Relativistic free-motion time-of-arrival

2007-01-17

arxiv.org/abs/quant-ph/0701116v2

J.Phys.A40:1897-1905,2007

Physics

Quantum Physics

16 pages, no figure. Revised version

Scientific paper

10.1088/1751-8113/40/8/014

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.

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