Operational Time of Arrival in Quantum Phase Space
Quantum Physics
2009-10-31 v1
Abstract
An operational time of arrival is introduced using a realistic position and momentum measurement scheme. The phase space measurement involves the dynamics of a quantum particle probed by a measuring device. For such a measurement an operational positive operator valued measure in phase space is introduced and investigated. In such an operational formalism a quantum mechanical time operator is constructed and analyzed. A phase space time and energy uncertainty relation is derived.
Cite
@article{arxiv.quant-ph/9902044,
title = {Operational Time of Arrival in Quantum Phase Space},
author = {Piotr Kochanski and Krzysztof Wodkiewicz},
journal= {arXiv preprint arXiv:quant-ph/9902044},
year = {2009}
}
Comments
23 pages, 5 figures, to appear in Phys. Rev. A