Operational Time of Arrival in Quantum Phase Space

Details Operational Time of Arrival in Quantum Phase Space Operational Time of Arrival in Quantum Phase Space

1999-02-10

arxiv.org/abs/quant-ph/9902044v1

Physics

Quantum Physics

23 pages, 5 figures, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.61.029901

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.

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