Space-time properties of free motion time-of-arrival eigenstates
Quantum Physics
2019-08-17 v1
Abstract
The properties of the time-of-arrival operator for free motion introduced by Aharonov and Bohm and of its self-adjoint variants are studied. The domains of applicability of the different approaches are clarified. It is shown that the arrival time of the eigenstates is not sharply defined. However, strongly peaked real-space (normalized) wave packets constructed with narrow Gaussian envelopes centred on one of the eigenstates provide an arbitrarily sharp arrival time.
Cite
@article{arxiv.quant-ph/9807066,
title = {Space-time properties of free motion time-of-arrival eigenstates},
author = {J. G. Muga and C. R. Leavens and J. P. Palao},
journal= {arXiv preprint arXiv:quant-ph/9807066},
year = {2019}
}
Comments
REVTEX, 12 pages, 4 postscript figures