3 papers
math-ph2025
Global observables in statistical mechanics
C. J. F. van de Ven
We present a canonical construction of global observables -- sometimes referred to in the literature as macroscopic observables or observables at infinity -- in statistical mechani…
math-ph2024
Classical and quantum KMS states on spin lattice systems
Nicolò Drago, Lorenzo Pettinari, Christiaan J. F. van de Ven
We study the classical and quantum KMS conditions within the context of spin lattice systems. Specifically, we define a strict deformation quantization (SDQ) for a -v…
math.OA2023
Classical dynamics of infinite particle systems in an operator algebraic framework
T. D. H. van Nuland, C. J. F. van de Ven
We construct C*-dynamical systems for the dynamics of classical infinite particle systems describing harmonic oscillators interacting with arbitrarily many neighbors on lattices, a…