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Quantum Clock in the Projection Evolution Formalism
Version 1
: Received: 24 November 2023 / Approved: 27 November 2023 / Online: 27 November 2023 (11:14:45 CET)
A peer-reviewed article of this Preprint also exists.
Góźdź, A.; Góźdź, M. Quantum Clock in the Projection Evolution Formalism. Universe 2024, 10, 116. Góźdź, A.; Góźdź, M. Quantum Clock in the Projection Evolution Formalism. Universe 2024, 10, 116.
Abstract
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.
Keywords
foundation of quantum mechanics; quantum time; quantum clock
Subject
Physical Sciences, Quantum Science and Technology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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