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Operational Time of Arrival in Quantum Phase Space

Piotr Kochanski·Krzysztof Wodkiewicz
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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.

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Piotr Kochanski, Krzysztof Wodkiewicz. 1999-02-10. Operational Time of Arrival in Quantum Phase Space. https://doi.org/10.1103/physreva.61.029901

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