Global Observables in Statistical Mechanics

C. J. F. van de Ven

doi:10.1007/s10773-026-06426-x

July 31, 2026International Journal of Theoretical PhysicsOpen Access

Global Observables in Statistical Mechanics

View Full Paper

Ask AI

Bookmark

Share

Key Points

This research aims to present a unified framework for understanding global observables in statistical mechanics.
Developed a canonical construction directly within the C-algebraic framework.
Contrast standard approaches to provide a unified treatment of both commutative and non-commutative cases.
Introduced a novel way to define global observables without relying on specific representations.
Demonstrated the applicability of the framework across different cases in statistical mechanics.

Ask about this paper

Answers are grounded in this paper and cite their sources.

Implication

Canonical construction of global observables in statistical mechanics provides a unified framework for analysis.

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^* C ∗ -algebraic setting, without relying on any specific representation.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

C. J. F. van de Ven (2026) studied this question.

synapsesocial.com/papers/6a6d989ee258b358b3c6c2ba https://doi.org/10.1007/s10773-026-06426-x

View Full Paper

Ask AI

Bookmark

Share

Global Observables in Statistical Mechanics

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

Global Observables in Statistical Mechanics

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading