Chaos, dissipation and quantal Brownian motion
type: Item
instance of: scholarly article
zbMATH Open document ID: 1010.81025
publication date: 2003-05-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/chao-dyn/9909024
Mathematics Subject Classification ID: 81Q50
Mathematics Subject Classification ID: 15B52
zbMATH DE Number: 1683983
zbMATH Keywords: linear response theory
zbMATH Keywords: random matrix theory
zbMATH Keywords: effective harmonic bath
MaRDI profile type: Publication
arXiv ID: chao-dyn/9909024
author: David Cohen
title: Chaos, dissipation and quantal Brownian motion
review text: The paper addresses various, albeit interrelated, topics centered around the key-word of dissipation. Models of particle-environment interaction rely on the classical input, where chaotic degrees of freedom (a few enough) are responsible for the emerging dissipation. Next, a classical particle that interacts with quantum (of a classically chaotic provenance) degrees of freedom, is investigated. After reviewing linear response theory, random matrix theory links and limitations of the quantum-classical correspondence, the general problem of a quantum particle that interacts with an effective harmonic bath are considered. A list of open problems, concerning the quantum particle-quantum (chaotic) environment interaction, concludes the paper.NEWLINENEWLINEFor the entire collection see [Zbl 0972.00065].
reviewed by: Piotr Garbaczewski
description: scientific article; zbMATH DE number 1683983