Thermal time as an unsharp observable
Mathematical Physics
2024-03-18 v2 Functional Analysis
math.MP
Quantum Physics
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.
Cite
@article{arxiv.2306.13774,
title = {Thermal time as an unsharp observable},
author = {Jan van Neerven and Pierre Portal},
journal= {arXiv preprint arXiv:2306.13774},
year = {2024}
}
Comments
19 pages, to appear in Journal of Mathematical Physics