Global observables in statistical mechanics
Year: 2025
Type: preprint
Abstract: We present 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.
Source: arXiv (Cornell University)
Author: van de Ven, C. J. F.
Institution: Friedrich-Alexander-Universität Erlangen-Nürnberg
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7103195927
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