Foundations of statistical mechanics

O Penrose - Reports on Progress in Physics, 1979 - iopscience.iop.org
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 …

The finite group velocity of quantum spin systems

EH Lieb, DW Robinson - Communications in mathematical physics, 1972 - Springer
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 …

[图书][B] Enveloping algebras

J Dixmier - 1996 - books.google.com
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) …

Phase transitions in reservoir-driven open systems with applications to lasers and superconductors

K Hepp, EH Lieb - Condensed Matter Physics and Exactly Soluble Models …, 1973 - Springer
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 …

[PDF][PDF] Mean entropy of states in quantu, statistical mechanics

OE Landford, DW Robinson - 1967 - cds.cern.ch
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 …

Stability, equilibrium and metastability in statistical mechanics

GL Sewell - Physics Reports, 1980 - Elsevier
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 …

Statistical mechanics of quantum spin systems. II

DW Robinson - Communications in Mathematical Physics, 1968 - Springer
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 …

[图书][B] Dynamical entropy in operator algebras

S Neshveyev, E Størmer - 2006 - books.google.com
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 …

Existence of ground states and KMS states for approximately inner dynamics

RT Powers, S Sakai - Communications in Mathematical Physics, 1975 - Springer
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 …

Approach to equilibrium in a simple model

C Radin - Journal of Mathematical Physics, 1970 - pubs.aip.org
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 …