Perturbation theory of W*-dynamics, liouvilleans and KMS-states

被引：59

作者：

Derezinski, J

Jaksic, V

Pillet, CA

机构：

[1] Univ Warsaw, Dept Math Methods Phys, PL-00682 Warsaw, Poland

[2] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

[3] CNRS, Ctr Phys Theor, F-13288 Marseille, France

[4] Univ Toulon & Var, PHYMAT, F-83957 La Garde, France

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2003年 / 15卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

W*-algebra; W*-dynamics; perturbation theory; KMS states; Liouvilleans;

D O I：

10.1142/S0129055X03001679

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Given a W*-algebra M with a W*-dynamics tau, we prove the existence of the perturbed W*-dynamics for a large class of unbounded perturbations. We compute its Liouvillean. If tau has a beta-KMS state, and the perturbation satisfies some mild assumptions related to the Golden-Thompson inequality, we prove the existence of a beta-KMS state for the perturbed W*-dynamics. These results extend the well known constructions due to Araki valid for bounded perturbations.

引用

页码：447 / 489

页数：43

共 36 条

[1] REPRESENTATIONS OF CANONICAL COMMUTATION RELATIONS DESCRIBING A NONRELATIVISTIC INFINITE FREE BOSE GAS [J].