Passivity and microlocal spectrum condition
type: Item
instance of: scholarly article
title: Passivity and microlocal spectrum condition
zbMATH Open document ID: 1010.81046
author: Hanno Sahlmann
author: Rainer Verch
published in: Communications in Mathematical Physics
publication date: 2001-08-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/math-ph/0002021
review text: In the paper under review the relationship between passivity of quantum field state and the microlocal spectrum condition for free quantum fields on a stationary, globally hyperbolic spacetime is studied. Passive states generalize ground states and KMS states and may be viewed as good candidates for physically realistic states of any dynamical system. The main result shows that a passive state on a Borchers algebra fulfills the microlocal spectrum condition. Also, it is shown that passive states of a topological *-dynamical system have an asymptotic pair correlation spectrum of specific type.
reviewed by: Jan Hamhalter
Mathematics Subject Classification ID: 81T05
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 46L30
zbMATH DE Number: 1631914
zbMATH Keywords: passive states
zbMATH Keywords: microlocal spectrum condition
zbMATH Keywords: stationary globally hyperbolic spacetime
zbMATH Keywords: ground states
zbMATH Keywords: KMS states
MaRDI profile type: Publication
OpenAlex ID: W3100672997
arXiv ID: math-ph/0002021
DOI: 10.1007/S002200000297
description: scientific article; zbMATH DE number 1631914