8 citations · 29 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
DLR-KMS correspondence on lattice spin systems
Nicolò Drago, Christiaan J. F. van de Ven
The Dobrushin-Lanford-Ruelle (DLR) condition and the classical Kubo-Martin-Schwinger (KMS) condition are considered in the context of classical lattice systems. In particular, we p…
Gibbs states and their classical limit
Christiaan J. F. van de Ven
A continuous bundle of -algebras provides a rigorous framework to study the thermodynamic limit of quantum theories. If the bundle admits the additional structure of a strict…
Strict deformation quantization and local spin interactions
Nicolò Drago, Christiaan J. F. van de Ven
We define a strict deformation quantization which is compatible with any Hamiltonian with local spin interaction (e.g. the Heisenberg Hamiltonian) for a spin chain. This is a gener…
Emergent phenomena in Nature: a paradox with Theory?
Christiaan J. F. van de Ven
The existence of various physical phenomena stems from the concept called asymptotic emergence, that is, they seem to be exclusively reserved for certain limiting theories. Importa…
The classical limit and spontaneous symmetry breaking in algebraic quantum theory
Christiaan J. F. van de Ven
In this paper an overview of some recent developments on the classical limit and spontaneous symmetry breaking (SSB) in algebraic quantum theory is given. In such works, based on t…
Injective tensor products in strict deformation quantization
Simone Murro, Christiaan J. F. van de Ven
The aim of this paper is two-fold. Firstly we provide necessary and sufficient criteria for the existence of a strict deformation quantization of algebraic tensor products of Poiss…