Position Measurements Obeying Momentum Conservation
Quantum Physics
2011-03-22 v3
Abstract
We present a hitherto unknown fundamental limitation to a basic measurement: that of the position of a quantum object when the total momentum of the object and apparatus is conserved. This result extends the famous Wigner-Araki-Yanase (WAY) theorem, and shows that accurate position measurements are only practically feasible if there is a large momentum uncertainty in the apparatus.
Cite
@article{arxiv.1005.0569,
title = {Position Measurements Obeying Momentum Conservation},
author = {Paul Busch and Leon Loveridge},
journal= {arXiv preprint arXiv:1005.0569},
year = {2011}
}