Classical systems of infinitely many noninteracting particles

DOI10.1063/1.523350zbMath0431.22017OpenAlexW2027228372MaRDI QIDQ3868005

Joseph V. Pulé, André F. Verbeure

Publication date: 1977

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523350

zbMATH Keywords

observablesgroup algebradynamical systemKMS conditionquasifree statesmonoparticle evolutions

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

Completely positive quasi-free maps of the CCR-algebra, Entropy, the central limit theorem and the algebra of the canonical commutation relation, Integral representations of the classical KMS-states for quasifree evolutions, Homogeneous perturbed classical states and equilibrium conditions, Gaussian states on the algebra of the infinite classical system

Cites Work

• Classical KMS condition and Tomita-Takesaki theory
• The classical mechanics of one-dimensional systems of infinitely many particles. I: An existence theorem
• On the equilibrium states in quantum statistical mechanics
• An Algebraic Approach to Quantum Field Theory