Minimum Inaccuracy for Traversal-Time
Quantum Physics
2007-05-23 v2 General Relativity and Quantum Cosmology
Abstract
Using various model clocks it has been shown that the time-of-arrival cannot be measured more accurately than 1/E where E is the kinetic energy of a free particle. However, this result has never been proved. In this paper, we show that a violation of the above limitation for the transit-time, implies a violation of the Heisenberg uncertainty relation.
Cite
@article{arxiv.quant-ph/9801034,
title = {Minimum Inaccuracy for Traversal-Time},
author = {J. Oppenheim and B. Reznik and W. G. Unruh},
journal= {arXiv preprint arXiv:quant-ph/9801034},
year = {2007}
}
Comments
Discussion on dwell time added, qualitative proof added, minor modifications