Thermal time as an unsharp observable
Journal Article
(2024)
Research Group
Analysis
DOI related publication
https://doi.org/10.1063/5.0165171
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https://resolver.tudelft.nl/uuid:a5d2c3a1-d025-4ccf-af4a-d691aef2cbbf
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Publication Year
2024
Language
English
Research Group
Analysis
Issue number
3
Volume number
65
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Abstract
We show that the Connes-Rovelli thermal time associated with the quantum harmonic oscillator can be described as an (unsharp) observable, that is, as a positive operator valued measure. We furthermore present extensions of this result to the free massless relativistic particle in one dimension and to a hypothetical physical system whose equilibrium state is given by the noncommutative integral.
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