Developments in the foundations of statistical mechanics during the past ten years or so.
The author discusses how statistical concepts enter the treatment of deterministic …

It is shown that if Φ is a finite range interaction of a quantum spin system, τ t Φ the
associated group of time translations, τ x the group of space translations, and A, B local …

This is an English edition of Dixmier's book, which is the first systematic exposition of the
algebraic approach to representations of Lie groups via representations of (or modules over) …

We present a class of mean field model Hamiltonians consisting of a small, but macroscopic
system S of N components interacting with a large reservoir R. The Dicke model of a laser is …

The equilibrium states for an infinite system of quantum mechanics may be represented by
states over suitably chosen G* algebras. We consider the problem of associating an entropy …

We survey a body of work, containing some new material, concerning the characterisation of
equilibrium and metastable states of large assemblies of particles in terms of a variety of …

In the first part of this paper we continue the general analysis of quantum spin systems. It is
demonstrated, for a large class of interactions, that time-translations form a group of …

During the last 30 years there have been several attempts at extending the notion of entropy
to noncommutative dynamical systems. The authors present in the book the two most …

A strongly continuous one parameter group of*-automorphisms of a C*-algebra with unit is
said to be approximately inner if it can be approximated strongly by inner one parameter …

The time evolution of a class of generalized quantum Ising models (with various long‐range
interactions, including Dyson's 1/r α) has been studied from the C*‐algebraic point of view …