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.
Original language | English |
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Article number | 032105 |
Number of pages | 16 |
Journal | Journal of Mathematical Physics |
Volume | 65 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2024 |