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Ideal quantum clocks and the measurement of time

2014/02/18 by Walter Gessner, Gessner, Walter
Physics and Astronomy · #Advanced Frequency and Time Standards #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1402.4502

8 pages, 0 figures. arXiv admin note: substantial text overlap with arXiv:1305.0949

arxiv created 2014/02/18 · openalex publication_date 2014/02/18 · arxiv updated 2015/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The recently introduced concept of an "ideal quantum clock" (IQC) is extended. Especially it is shown that the time operator of an IQC is canonically conjugated to the Hamiltonian of the IQC in a certain pre-Hilbert space. Further it is discussed how the IQC interacts with another physical system D and to what extent the IQC measures the time differences of any prescribed initial and final states of D.

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