Quantum Clock in the Projection Evolution Formalism

Andrzej Góźdź; Marek Góźdź

doi:10.20944/preprints202311.1655.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 24 November 2023 / Approved: 27 November 2023 / Online: 27 November 2023 (11:14:45 CET)

Using the projection evolution (PEv) approach, time can be included in the quantum mechanics as an observable. Having the time operator, it is possible to explore the temporal structure of various quantum events. In the present paper we discuss the possibility of constructing a quantum clock, which advances in time during its quantum evolution, in each step having some probability to localize itself on the time axis in the new position. We propose a working two-state model as the simplest example of such a clock.

foundation of quantum mechanics; quantum time; quantum clock

Physical Sciences, Quantum Science and Technology

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Quantum Clock in the Projection Evolution Formalism

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