Thermal time as an unsharp observable
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917614324809728 |
|---|---|
| author | van Neerven, Jan Portal, Pierre |
| author_facet | van Neerven, Jan Portal, Pierre |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13774 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Thermal time as an unsharp observable van Neerven, Jan Portal, Pierre Mathematical Physics Functional Analysis Quantum Physics 81P05 (Primary), 46L10, 46L60, 81S05, 81R15, 82B10, 82C03 (Secondary) 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. |
| title | Thermal time as an unsharp observable |
| topic | Mathematical Physics Functional Analysis Quantum Physics 81P05 (Primary), 46L10, 46L60, 81S05, 81R15, 82B10, 82C03 (Secondary) |
| url | https://arxiv.org/abs/2306.13774 |