Relativistic Time of Arrival
Quantum Physics
2007-05-23 v1
Abstract
We propose a covariant algorithm for relativistic ideal measurements and for relativistic continuous measurements, its non-relativistic limit results the algorithm of the Event-Enhanced Quantum Theory. Therefore an additional intrinsic parameter, the proper time, is used. As an application we compute the time of arrival of a particle at a detector and find good agreement between the expected values of the time of arrival for weak detectors and the results of the relativistic point-mechanic over a wide range. For very high momentums there is a small probability for a negative time of arrival, so the expected times are a bit smaller than the results of the relativistic mechanics.
Cite
@article{arxiv.quant-ph/9912060,
title = {Relativistic Time of Arrival},
author = {Andreas Ruschhaupt},
journal= {arXiv preprint arXiv:quant-ph/9912060},
year = {2007}
}
Comments
latex, 13 pages, 6 postscript figures