Operational Time of Arrival in Quantum Phase Space
arXiv:quant-ph/9902044 · doi:10.1103/PhysRevA.61.029901
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.
23 pages, 5 figures, to appear in Phys. Rev. A