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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.26736 |
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| _version_ | 1866911240893235200 |
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| author | van de Ven, C. J. F. |
| author_facet | van de Ven, C. J. F. |
| contents | This note presents a canonical construction of global observables -- sometimes referred to in the literature as macroscopic observables or observables at infinity -- in statistical mechanics, providing a unified treatment of both commutative and non-commutative cases. Unlike standard approaches, the framework is formulated directly in the $C^*$-algebraic setting, without relying on any specific representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26736 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global observables in statistical mechanics van de Ven, C. J. F. Mathematical Physics This note presents a canonical construction of global observables -- sometimes referred to in the literature as macroscopic observables or observables at infinity -- in statistical mechanics, providing a unified treatment of both commutative and non-commutative cases. Unlike standard approaches, the framework is formulated directly in the $C^*$-algebraic setting, without relying on any specific representation. |
| title | Global observables in statistical mechanics |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2510.26736 |