vix.ing · top · new · best · stats · spec

Relativistic Time of Arrival

1999/12/13 by Andreas Ruschhaupt, Ruschhaupt, Andreas
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9912060

latex, 13 pages, 6 postscript figures

arxiv created 1999/12/13 · arxiv updated 2009/12/01

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.

Related